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FINAL For More Books Contact @Whats app 7416441861 IES(ECE) IES – 1999 (ECE) Q.1 A series resonant circuit has an inductive reactance of 1000Ω, a capacitive reactance of 1000Ω and a resistance of 0.1 Ω. If the resonant frequency is 10 MHz, then the bandwidth of the circuit will be (a) 1 kHz (b) 10 kHz (c) 1 MHz (d) 0.1 kHz Q.2 Assertion (A): Tellegen‟s theorem is used in developing the sensitivity coefficient of a network from the concept of adjoint network. Reason (R): Tellegen‟s theorem is applicable to any lumped network. Codes: (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is not a correct explanation of A (c) A is true but R is false (d) A is false but R is true

Q.3 The circuit shown in figure – I is replaced by that in figure – II. If current „I‟ remains the same, then then will be

(a) Zero (b) R (c) 2 R (d) 4 R Q.4 If a resistance „R‟ of is connected across the terminals AB as shown in the given figure, then the current through R will be

(a) 1 A (b) 0.5 A (c) 0.25 A (d) 0.125 A Q.5 Consider the graph and tree (dotted) of the given figure.FINAL

The fundamental loops include the set of lines (a) ( ) ( ) and ( ) (c) ( ) ( ) ( ) and ( ) (b) ( ) ( ) ( ) and ( ) (d) ( ) and ( )

Q.6 In the circuit shown in the figure, if R0 is adjusted such that | | | |, then

| | | | (a) . / (b) | | | | (c) | | | | (d) . / | | | | Q.7 In the circuit shown in the figure, if the current in resistance „R‟ is Nil, then

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(a) (c)

(b) (d)

Q.8 The resistance „R‟ looking into the terminals AB in the circuit shown in the figure will be

(a) 0.5 (b) 2 (c) 3 (d) 7 Q.9 Consider the following statements for a 2-port network:

1. 2. 3. (d) The network is reciprocal if and only if (a) 1 and 2 are correct (b) 2 and 3 are correct (c) 3 and 4 are correct (d) 4 alone is correct

Q.10 If the network of figure – I and T-network of figure – II are equivalent, then the values of and will be respectively.

(a) and 6 (b) and 9 (c) and 9 (d) and 6 Q.11 Voltage transfer function of a simple RC integrator has (a) A finite zero and a pole at infinity (b) A finite zero and a pole at the origin (c) A zero at the origin and a finite pole (d) A zero at infinity and a finite pole Q.12 On closing switch ‟S‟, the circuit in the given figure is in steady-state. The current in the inductor after opening the switch „S‟ will

(a) Decay exponentially with a time constant of 2 s (b) Decay exponentially with a time constant of 0.5 sFINAL (c) Consist of two decaying exponentials each with a time constant of 0.5 s (d) Be oscillatory Q.13 In the circuit shown in the figure, i(t) is a unit step current. The steady-state value of v(t) is

(a) 2.5 V (b) 1 V (c) 0.1 V (d) zero Q.14 The given figure shows the pole-zero pattern of a filter in the s-plane. The filter is a

(a) Band elimination filter (c) Low-pass filter (b) Band-pass filter (d) High-pass filter Q.15 Driving-point impedance of the network shown in the figure is

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(a) (b) (c) (d)

Q.16 Match the List I (Network) with List II (Poles of driving point impedance) and select the correct answer using the codes given below the lists: List I List II A. LC 1. Negative real B. RC 2. Imaginary C. RLC 3. Either real or complex D. RL Codes: A B C D a) 1 2 3 1 b) 1 2 1 3 c) 2 1 1 3 d) 2 1 3 1 Q.17 In the circuit shown in the figure, the power dissipated in 30Ω resistor will be maximum if the value of R is

(a) 30 (b) 16 (c) 9 (d) zero Q.18 In the circuit shown in the figure, for R = 20 the current „I‟ is 2 A. When R is 10 the current „I‟ would be

(a) 1 A (b) 2 A (c) 2.5 A (d) 3 A Q.19 The average value of the periodic function ( ) of the given figure is FINAL

(a) (b) (c) (d)

Q.20 For the circuit shown in the figure, the current „I‟ is

(a) Indeterminable due to inadequate data (b) Zero (c) 4 A (d) 8 A Q.21 In the circuit shown in figure, output | ( )| is

(a) Indeterminable as values of R and C are not given (b) 2.5 V (C) √ (d) Q.22 If two identical first order loss pass filters are cascaded non-interactively, then the unit step response of the composite filter will be (a) Critically damped (b) Underdamped (c) Over damped (d) Oscillatory Q.23 Consider the following statements regarding the driving point admittance function.

( )

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1. It is an admittance of RL network. 2. Poles and zeroes alternate on the negative real axis of the s-plane. 3. The lowest critical frequency is a pole. 4. Y(0) = 1 Which of these statements are correct? (a) 1, 2 and 3 (b) 2 and 4 (c) 1 and 3 (d) 1, 2, 3 and 4

Q.24 An R-L-C circuit for the driving point admittance function 4 5 is

Q.25 Match List I (Form) with List II (networks) and select the correct answer using the codes given below the lists: List I List II A. Cauer I 1. L in series arms and C in shunt arms of a ladder B. Cauer II 2. C in series arms and L in shunt arms of a ladder C. Foster I 3. Series combination of L and C in parallel D. Foster II 4. Parallel combination of L and C in series Codes: A B C D a) 1 2 3 4 b) 1 2 4 3 c) 2 1 4 3 d) 2 1 3 4 Q.26 Poles and zeros of a driving point function of a network are simple and interlace on the axis. The network consists of elements. (a) R and C (b) L and C (c) R and L (d) R, L and C

Q.27 For the circuit shown in the figure, the order of the differential equation relating V0 and Vi will be

(a) 4 (b) 3 FINAL(c) 2 (d) 1 Q.28 Consider the following sets of values of E, R and C of the circuit shown in the figure

1. and 1.25 F 3. 1.6 V, 1 and 0.8 F 2. 1.6 V, 0.8 and 1 F 4. 2 V, 1.25 and 1 F

Which of these sets of E, R and C values will ensure that the state equation, is valid?

(a) 1 and 4 (b) 1 and 2 (c) 3 and 4 (d) 2 and 3 Q.29 The ratio of available power from the dc component of a full-wave rectified sinusoid to the available power of the rectified sinusoid is (a) 8/π (b) 2 (c) 4/ π (d) 8/ π2 IES – 2000(ECE) Q.30 Two coils have self – inductances of 0.09 H and 0.01 H and a mutual inductance of 0.015 H. The coefficient of coupling between the coils is (a) 0.06 (b) 0.5 (c) 1.0 (d) 0.05 Q.31 A series LCR circuit with

| | and | | is connected across an AC supply of 200 . The rms voltage across the capacitor is (a) (b) (c) (d)

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Q.32 An inductor tunes at 200 kHz with 624 pF capacitor and at 600 kHz with 60.4 pF capacitor. The self capacitance of the inductor would be (a) 8.05 pF (b) 10.05 pF (c) 16.10 pF (d) 20.10 pF Directions: The following items consist of two statements one labeled as „Assertion (A)‟ and the other as „Reason (R)‟. You are to examine these two statements carefully and select the answer these items using the codes given below: Codes: (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is not a correct explanation of A (c) A is true but R is false (d) A is false but R is true

( )( ) Q.33 Assertion (A): The functions given by ( ) ( )( ) Represents an L-C driving point impedance function. Reason (R): Poles and zeroes interlace on the imaginary axis of the complex s-plane. Q.34 Assertion (A): The fundamental loop of a linear directed graph contains four twigs and two links corresponding to a given tree. Reason (R): In a linear directed graph, a link forms a closed loop. Q.35 In the circuit shown in the figure below, the power consumed in the resistance R is measured when one source is acting at a time, these values are 18W, 50W and 98W. When all the sources are acting simultaneously, the possible maximum and minimum values of power in R will be

(a) 98 W and 18 W (b) 166 W and 18 W (c) 450 W and 2 W (d) 166 W and 2 W Q.36 In a two terminal network, the open circuit voltage measured at the given terminals by an electronic voltmeter is 100 V. A short circuit current measured at the same terminals by an ammeter of negligible resistance is 5 A. If a load resistor of 80 is connected at the same terminals, then the current in the load resistor will be ` (a) 1 A (b) 1.25 A (c) 6 A (d) 6.25 A Q.37 Consider the following statements: 1. Tellegen‟s theorem is application to any lumped FINALnetwork. 2. The reciprocity theorem in application linear bilateral networks. 3. Thevenin‟s theorem is applicable to two-terminal linear active networks 4. Norton‟s theorem is applicable to two terminal linear active networks. Which of these statements are correct? (a) 1,2 and 3 (b) 1,2,3 and 4 (c) 1,2 and 4 (d) 3 and 4 Q.38 Which one of the following theorems can be conveniently used to calculate the power consumed by the 10 resistor in the network shown in the figure below?

(a) Thevenin‟s theorem (c) Millman‟s theorem (b) Maximum power transfer theorem (d) Superposition theorem Q.39 Which one of the following is a cut set of the graph shown in the figure below?

(a) 1,2,3 and 4 (b) 2,3,4 and 6 (c) 1,4,5 and 6 (d) 1,3,4 and 5

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Q.40 A network has 10 nodes and 17 branches. The number of different node pair voltages would be (a) 7 (b) 9 (c) 10 (d) 45 Q.41 In the circuit shown in the figure below, the current supplied by the sinusoidal current source I is

(a) 28 A (b) 4 A (c) 20 A (d) Not determinable from the data given Q.42 Consider the following statements: A 3-phase balanced supply system is connected to a 3-phase unbalanced load. Power supplied to this load can be measured using 1. Two wattmeters 2. One wattmeters 3. Three wattmeters Which of these statements is/are correct? (a) 1 and 2 (b) 1 and 3 (c) 2 and 3 (d) 3 alone Q.43 In the circuit below, if the power dissipated in the 6 resistor is zero then V is

(a) √ (b) (c) (d) √ Q.44 A capacitor used for power factor correction in single phase circuit decreases (a) The power factor (b) The line current (c) Both the line current and the power factor (d) The line current and increases power factor Q.45 For a two-port reciprocal network, the output open-circuit voltage divided by the input current is equal to

(a) B (b) (c) (d)

Q.46 If the transmission parameters of the below network are A = C = 1, B = 2 and D = 3, then the value of is FINAL

(a) (b) (c) 3 (d) 4

Q.47 The impedance matrices of two, two-port networks are given by 0 1 0 1

If these two networks are connected in series, the impedance matrix of the resulting two-port network will be

(a) 0 1 (b) 0 1 (c) 0 1 (d) Indeterminate

Q.48 In the circuit shown in the figure below, switch K is closed at . The circuit was initially relaxed. Which one of the following sources of ( ) will produce maximum current at ?

(a) Unit step (b) Unit impulse (c) Unit ramp (d) Unit step plus unit ramp Q.49 In the circuit shown in the figure below, steady-state was reached when the switch S was open. The switch was closed at . The initial value of the current through the capacitor 2 C is

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(a) Zero (b) 1 A (c) 2 A (d) 3 A Q.50 In the circuit below, S was initially open. At time , S closed. When the current through the inductor is 6 A, the rate of change of current through the resistor is 6 A/s. The value of the inductor would be

(a) 1 H (b) 2 H (c) 3 H (d) 4 H Q.51 Consider the following statements: If a network has an impedance of ( – ) at a specific frequency, the circuit would consist of series 1. R and C 2. R and L 3. R, L and C Which of these statements the correct? (a) 1 and 2 (b) 1 and 3 (c) 1,2 and 3 (d) 2 and 3

Q.52 In the circuit below, when R is 10 . When R is zero, the value of will be

(a) 40 V (b) 30 V (c) 20 V (d) 10 V Q.53 A network contains only independent current sources and resistors. If the values of all resistors are doubled, the values of the node voltage (a) Will become half (b) Will remain unchanged (c) Will become double (d) Cannot be determined unless the circuit configuration and the values of the resistor are known Q.54 In the transformer shown in the figure below, the inductance measured across the terminal 1 and 2 was 4 H with open terminals 3 and 4. It was 3 H when the terminal 3 and 4 were short circuited. The coefficient of coupling would be FINAL

(a) 1 (b) 0.707 (c) 0.5 (d) Indeterminate due to insufficient data Q.55 The circuit shown in the figure below, will act as an ideal current source with respect to terminals A and B, when frequency is

(a) Zero (b) 1 rad/s (c) 4 rad/s (d) 16 rad/s IES – 2001(ECE) Q.56 The circuit shown in the figure below is a

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(a) Low pass filter (b) High pass filter (c) Band pass filter (d) Band stop filter Q.57 Z(s) for the network shown in the below figure is

The value of C and R are, respectively (a) 1/6 F and 4Ω (b) 2/9 F and 9/2Ω (c) 2/3 F and 1/2Ω (d) ½ F and 1Ω

Q.58 For the equivalent @ Figure circuit shown in the given figure, the value of and are respectively.

(a) and 15 (b) and (c) and (d) and Q.59 For the circuit shown in the given figure, when the switch is at position A, the current i(t) = I sin( ) A When switch is moved to position B at time t = 0, the power dissipated at the switching instant in the resistor R remains unchanged

The value of I and the element X would respectively, be (a) 1 A and resistor (b) 2A and capacitor (c) 3 A and resistor (d) 4 A and capacitor Q.60 In the circuit shown in the given, figure, the values of ( ) and ( ) will be, respectively FINAL

(a) Zero and 1.5 A (b) 1.5 A and 3 A (c) 3 A and zero (d) 3 A and 1.5 A

Q.61 In the circuit shown in the given figure, C1 = C2 = 2 F and the capacitor C1 has a voltage of 20V when S is open.

If the switch S is closed at the voltage will be a (a) Fixed voltage of 20 V (c) Fixed voltage of -10V (b) Fixed voltage of 10 V (d) Sinusoidal voltage Q.62 The circuit shown in the given figure is in the steady state with the switch S closed

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The current ( ) after S is opened at is (a) A decreasing exponential (c) A damped sinusoid (b) An increasing exponential (d) Oscillatory

Q.63 A resistor R of 1Ω and two inductors and of inductances 1 H and 2 H, respectively, are connected in parallel, At some time, the currents through and are 1A and 2A respectively. The current through R at time will be (a) Zero (b) 1 A (c) 2 A (d) 3 A Q.64 A unit step current is applied to a network consisting of only passive elements. The voltage across the current source observed is

( ) ( ). The simplest possible network will consist of the elements (a) 1 resistor and 2 capacitors (c) 2 resistors and 1 capacitors (b) 1 resistor and 2 inductors (d) 2 resistors and 1 inductor Q.65 If the numerator of a second order transfer function F(s) is a constant, then the filter is a (a) band pass filter (b) band stop filter (c) High pass filter (d) Low pass filter Q.66 The pole Zero pattern shown in the given figure is for

(a) A low pass filter (b) A high pass filter (c) An all pass filter (d) A band pass filter Q.67 The dual of a parallel R-C circuit is a (a) Series R-C circuit (b) Series R-L circuit (c) Parallel R-C circuit (d) Parallel R-L circuit

( ) Q.68 Driving point impedance Z(s) = is not realizable because the

a) Number of zeros is more than the number of poles b) Poles and zeros lie on the imaginary axis c) Poles and zeros do not alternate on imaginary axis d) Poles and zeros are not located on the real axis

Q.69 The function of can be realized FINAL a) Both as a driving point impedance and as a driving point admittance b) As an impedance, but not as an admittance c) As an admittance, but not as an impedance d) Neither as an impedance nor as an admittance Q.70 If and G are the resistance, inductance, capacitance and conductance of a transmission line respectively, then the condition for distortion less transmission line is (a) R/C = G/L (b) RC = LG (c) (d) Q.71 Assertion (A): A circuit containing reactance is said to be in resonance if the voltage across the circuit is in phase with the current through it. Reason (R): At resonance, the power factor of the circuit is zero. Codes: (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is not a correct explanation of A (c) A is true but R is false (d) A is false but R is true

Q.72 In the circuit shown in the given figure, will absorb maximum power when its value is

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(a) 2.75 (b) 7.5 (c) 25 (d) 27 Q.73 For the given circuit, the current I is

(a) 2 A (b) 5 A (c) 7 A (d) 9 A Q.74 In a linear circuit, the superposition principle can be applied to calculate the (a) Voltage and power (b) Voltage and current (c) Current and power (d) Voltage, current and power Q.75 Match List I with List II for the co-tree branches 1, 2, 3 and 8 of the graph shown in the given figure and select the correct answer using the codes given below the lists:

List I List II A. Twigs 1. 4, 5, 6, 7 B. Links 2. 1, 2, 3, 8 C. Fundamental cutest 3. 1, 2, 3, 4 D. Fundamental loop 4. 6, 7, 8 Codes: A B C D a) 1 2 3 4 b) 3 2 1 4 c) 1 4 3 2 d) 3 4 1 2

( )( ) Q.76 The First Cauer form realization of the driving point reactance ; is ( ) FINAL

Q.77 In the circuit shown in the given figure, power dissipated in the 5 resistor is

(a) Zero (b) 80 W (c) 125 W (d) 405 W IES – 2002(ECE) Q.78 The maximum power that a source with an internal resistance of 2 can supply to a resistive load is (a) 12 W (b) 18 W (c) 36 W (d) 48 W Q.79 Consider the following statements associated with the superposition theorem: 1. It is applicable to d.c. circuits only 2. It can be used to determine the current in a branch or voltage across a branch 3. It is applicable to networks consisting of more than one source 4. It is applicable to networks consisting of a linear and bilateral elements Which of these statements are correct? (a) 1,2 and 3 (b) 2,3 and 4 (c) 3,4 and 1 (d) 4,1 and 2 Electronics/Electrical Engineering

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Q.80 Figure given below shows a graph with 6 vertices and 8 edges.

With reference to the above graph, match List I with List II and select the correct answer using the codes given below the lists: List I List II A. Fundamental circuit of chord 6‟ 1. The edge set (1‟, 2‟, 4‟,6‟) B. Fundamental circuit of chord 7‟ 2. The edge set (2‟, 4‟, 5‟, 7‟) C. Fundamental circuit of chord 8‟ 3. The edge set (2‟, 3‟, 5‟, 8‟) 4.The edge set (1‟, 2‟, 4‟, 7‟) 5. The edge set cannot be determined Codes: A B C a) 1 2 3 b) 4 3 2 c) 2 3 4 d) 2 5 3 Q.81 In the graph shown in the figure, one possible tree is formed by the branches 4, 5, 6, 7.

Then one possible fundamental loop is: (a) 1, 4, 5 (b) 2, 3, 5 (c) 3, 4, 8 (d) 6, 7, 8 Q.82 Which one of the following statements is not a property R-L driving point impedance? a) The first critical frequency at the origin is a zero b) The last critical frequency is a pole c) The impedance at is always less than the impedanceFINAL at s= zero d) The slope of the impedance curve is positive at all points Q.83 In a network containing resistances and reactance the roots of the characteristic equation give for the circuit (a) The force response (b) The total response (c) The natural response (d) The damped response Q.84 A series RL circuit is initially relaxed, A step voltage is applied to the circuit. If is the time constant of the circuit, the voltage across R and L will be the same at time t equal to

(a) (b) . / (c) (d) . /

Q.85 For the following circuit a source of ( ) is applied.

Then the resulting response ( ) is given by (a) (b) (c) – (d) Q.86 The time constant of the circuit after the switch shown in the figure is opened is

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(a) 0.2 s (b) 5 s (c) 0.1 s (d) Dependent on R and hence cannot be determined unless R is known Q.87 Match List-I with List-II and select the correct answer: List-I A. A series RLC circuit is overdamped when B. The unit of the real part of the complex frequency is C. If F(s) is the Laplace transform of f(t) then F(s) and f(t) are known as D. If f(t) and its first derivative are Laplace transferrable then the initial value of f(t) is given by List-II 1. ( ) ( ) 2. 3. rad/s 4. inverse functions 5. 6. neper sec-1 7. ( ) ( ) 8. transform pairs Codes: A B C D a) 5 6 8 1 b) 5 6 1 8 c) 6 5 3 4 d) 6 5 2 7 Q.88 Consider the following : Energy storage capability of basic passive elements is due to the fact that 1. Resistance dissipates energy 2. Capacitance stores energy 3. Inductances dissipates energy Which of the above is/are correct? FINAL (a) 1,2 and 3 (b) 1 and 3 (c) 3 alone (d) 1 and 2

Q.89 √ has the dimension of

(a) Time (b) Capacitance (c) Inductance (d) Resistance Q.90 A network N‟ is a dual of network N if a) Both of them have same mesh equation b) Both of them have the same node equations c) Mesh equations of one are the node equations of the other d) KCL and KVL equations are the same Q.91 A current ( ) as shown in the figure is passed through a capacitor.

The charge (in micro-coulomb) acquired by the capacitor after is (a) 7.5 (b) 13.5 (c) 14.5 (d) 15 Q.92 In the circuit given below, viewed from AB, the circuit can be reduced to an equivalent circuit as Electronics/Electrical Engineering

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a) 5 volt source in series with 10 resistor b) 7 volt source in series with 2.4 resistor c) 15 volt source in series with 2.4 resistor d) 1 volt source in series with 10 resistor Directions: The following items consist of two statements one labeled as ‘Assertion (A)’ and the other as ‘Reason (R)’. You are to examine these two statements carefully and select the answer these items using the codes given below: Codes: (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is not a correct explanation of A (c) A is true but R is false (d) A is false but R is true Q.93 Assertion (A): When a sinusoidal voltage is switched on to a circuit consisting of R-L-C elements, the response consists of two components expressed by free response and forced response. Reason (R): The response at is called free response as the voltage was just then switched and the one at t= very large is forced response as it consists of values of R, L, C applied voltage and its frequency.

Q.94 Assertion (A): A series and a series ar connected in parallel. Parallel resonance will occur at all

frequencies when . Reason (R): An inductor must be operated below the self resonant frequency. Q.95 There are four types of controlled sources namely . It is required to select a proper controlled source configuration for interfacing the output of a high impedance microphone to a low impedance loudspeaker. The proper source will be a) (Voltage Controlled Voltage Source) b) (Voltage Controlled Current Source) c) (Current Controlled Current Source) d) (Current Controlled Voltage Source) IES – 2003(ECE) Q.96 Which one of the following is the state-space model ofFINAL the circuit shown below?

̇ ( ) ( ) ̇ ( ) ( )

(a) [ ] [ ] [ ] 6 7 ( ) (c) [ ] [ ] [ ] 0 1 ( ) ̇ ( ) ( ) ̇ ( ) ( )

( ) ( ) ( ) , - [ ] ( ) , - [ ] ( ) ( )

̇ ( ) ( ) ̇ ( ) ( ) (b) [ ] 6 7 [ ] 0 1 ( ) (d) [ ] [ ] [ ] 0 1 ( )

̇ ( ) ( ) ̇ ( ) ( )

( ) ( ) ( ) , - [ ] ( ) , - [ ] ( ) ( ) Q.97 With the conventional notation ̇ for the state description of a linear time-invariant network, examine the validity of the following statements relating to the matrix A: 1. A is symmetrical if the network is reciprocal. 2. The sum of the natural frequencies of the network is equal to the determinant of A. Which of these statements is/are true? (a) Both 1 and 2 (b) 1 only (c) 2 only (d) Neither 1 nor 2 Q.98 Which one of the following is NOT a correct statement about the state-space model of a physical system?

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a) State-space model can be obtained only for a linear system b) Eignevalues of the system represent to the roots of the characteristic equation c) ̇ represents linear state-space model of a physical system d) ( ) represents the state vector of the system Q.99 In the circuit shown below, the voltage across 2 resistor is 20 V. The 5 resistor connected between the terminals A and B can be replaced by an ideal

(a) Voltage source of 25 V with + terminal upward (c) Current source of 2 A upward (b) Voltage source of 25 V with + terminal downward (d) Current source of 2 A downward Q.100 The current flowing through the voltage source in the circuit shown below is

(a) 1.0 A (b) 0.75 A (c) 0.5 A (d) 0.25 A Q.101 The number of edges in a complete graph of n vertices is

( ) (a) ( – ) (b) (c) n (d) n – 1

Q.102 In the circuit shown below, if | | | |

(a) will lag by 8/6, will lead by 8/6

(b) will lag by 6/8, will lead by 8/6FINAL

(d) will lead by 6/8, will lag by 6/8 Q.103 A two port network is reciprocal, if and only if

(a) (b) BC – AD = -1 (c) (d) Q.104 In the circuit shown below, the switch is closed at . The current through the capacitor will decrease exponentially with a time constant

(a) 0.5 s (b) 1 s (c) 2 s (d) 10 s Q.105 In the circuit shown below the switch is moved from position A to B at time . The current through the inductor satisfies the following conditions.

1. ( )

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2. ( ) 3. ( ) The value of R is (a) 0.5 ohm (b) 2.0 ohm (c) 4.0 ohm (d) 12 ohm Q.106 In a circuit the voltage across an element is ( ) ( – ) . The circuit is (a) Undamped (b) Underdamped (c) Critically damped (d) Overdamped Q.107

The correct sequence of the time constants of the circuits shown above in the increasing order is (a) 1 – 2 – 3 – 4 (b) 4 – 1 – 2 – 3 (c) 4 – 3 – 1 – 2 (d) 4 -3 – 2 – 1 Q.108 An iron cored choke of large inductance is connected to a d.c. supply as shown in the circuit below. A capacitor C is also connected across the switch. The role of C is to also connected across the switch. The role of C is to

(a) Improve the power factor of the circuit (b) Minimize the current drawn from supply (c) Prevent the arcing across switching under switching conditions (d) Increase the magnetic flux in the core Q.109 Bartlett‟s bisection theorem holds for which one of the following terminal networks? (a) Reciprocal network (b) Balanced network (c) Symmetric network (d) Non-linear network Q.110 Match List I with List II and select the correct answerFINAL using the codes given below the lists: List I A. Internal impedance of an ideal current source is B. For attenuated natural oscillations, the poles of the transfer function must the on the C. A battery with an e.m.f. E and internal resistance R delivers current to a load . Maximum power transferred is D. The roots of the characteristic equation give List II 1. Force response of the circuit 2. Natural response of the circuit 3. 4. 5. Left hand part of the complex frequency plane 6. Right hand part of the complex frequency plane 7. Infinite 8. Zero Codes: A B C D a) 7 6 3 1 b) 8 5 4 2 c) 8 6 4 1 d) 7 5 3 2

Q.111 In Maxwell bridge as shown below, the value of C and its shunting resistance are unknown. The bridge balance relations are . The values of C and are

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(a) (c) (b) (d)

Q.112 In the pass band of a symmetric lattice filter, the nature of and where and represent the reactance of the series arm and the diagonal arm of the lattice is of (a) The same sign (b) The opposite sign (c) The same sign and equal magnitude (d) Or arbitrary sign Q.113 Match List I (Quantities) with List II (Units) and select the correct answer: List I List II A. R/L 1. Second B. 1/LC 2. Ohm C. CR 3. ( ) D. √ 4. ( ) Codes: A B C D a) 4 3 1 2 b) 3 4 2 1 c) 4 3 2 1 d) 3 4 1 2 Directions: The following items consist of two statements one labeled as ‘Assertion (A)’ and the other as ‘Reason (R)’. You are to examine these two statements carefully and select the answer these items using the codes given below: Codes: (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is not a correct explanation of A (c) A is true but R is false (d) A is false but R is true Q.114 Assertion (A): Kirchhoff”s voltage law states that a closed path in a network, the algebraic sum of all voltage in a single direction is zero. FINAL Reason (R): Law of conservation of charge is the basis of this law. Q.115 Assertion (A): Superposition theorem is used to calculate the current in a particular branch in a linear network by considering the effect of each of the independent sources, taken one at a time. Reason (R): In a linear, network; the behavior of the circuit does not vary depending upon the source. Q.116 Assertion (A): Maximum power transfer from a source with complex internal impendence to a complex load will occur if the source impedance is same as the load impedances. Reason (R): The efficiency of maximum power transfer cannot exceed 50%. Q.117 Assertion (A): The current in a series R-L-C circuit driven by a sinusoidal voltage source may lead, lag or be in phase with the applied voltage. Reason (R): Series resonance does not imply unity power factor condition. Q.118 Assertion (A): A two terminal network representing a given driving point reactance function is said to be canonic or a fundamental network. Reason (R): A driving point reactance function is totally specified by the location of poles and zeros. IES – 2004(ECE) Q.119 Consider the following circuit:

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For the above circuit, which one of the following statements is correct? The voltage V0 is independent of R, if the input signal frequency

(a) Is √ (b) Is [ √ ] (c) Is √ (d) Has any value Q.120 Consider the following circuit.

For what value of , the circuit shown above exhibits unity power factor?

(a) (b) (c) (d) √ [√ ] [√ ] Q.121 Consider the following graph.

Which one of the following is not a tree of the above graph?

Q.122 Consider a spanning tree of the connected graph:

What is the number of fundamental cut-sets? (a) 15 (b) 16 (c) 8 (d) 7 Q.123 The input voltage and current for linear passive networkFINAL is given by and Now consider the following network:

Which one of the following is the transfer matrix 0 1 of the network shown above?

(a) 0 1 (b) 0 1 (c) 0 1 (d) 0 1

Q.124 For an ideal step-down ( ) transformer, which one of the following is the ABCD parameter matrix?

(a) 0 1 (b) 0 1 (c) [ ] (d) [ ]

Q.125 Which one of the following is the transfer function of an electrical lowpass filter using R and C elements?

(a) (b) (c) (d) , - , - , - , - Q.126 Assertion (A): A driving point impedance function has multiple zeros on of the s-plane. Reason (R): A positive real function has no multiple pole or zero on of the s-plane. Codes: (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is not a correct explanation of A (c) A is true but R is false (d) A is false but R is true

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Q.127 If ( ) ( ) is the given network function, which one of the following describes the correct Bode plot? a) A straight line with a slope of 20 dB/ decade. b) A straight line with a slope of 20 dB/ decade passing through the point 0 dB and 1 rad/s c) Constant at 0 dB for and a slope of 20 dB/decade for . d) Constant at 0 dB for and a slope of -20 dB/decade for Q.128 The driving point impedance of a reactive network has poles at 0, 40 rad/s and infinity. Zeros are located at 20 and 60 rad/s. The impedance at 10 rad/s is –j70 . Which one of the following givens the form of the first foster network of the driving point impedance function?

a) An inductor a parallel combination of an inductor and a capacitor . And a capacitor all in series. b) Two parallel combinations inductors and capacitors in series c) Two series combination of inductors and capacitors connected in parallel. d) None of the above Q.129 The 2-port network shown in the circuit given below is connected in parallel with another 2-port network which has

The y – parameters of the composite network will satisfy which one of the following?

(a) (b) (c) (d) Q.130 Which one of the following statement is correct? The poles and zeroes of the driving point reactance function of an L – C network (a) Lie on the real axis of line s-plane (c) Lie on the unit circle (b) Alternate (d) Are arbitrary Q.131 What is the locus of the tip of the voltage phasor across R in a series R-L-C circuit? (a) A parabola (b) An ellipse (c) A circle (d) A rectangular hyperbola Q.132 Consider the following circuit:

FINAL

If and , then what is the input impedance of the CRO in the above circuit? (a) 1 MΩ (b) 1.5 MΩ (c) 3 MΩ (d) 5 MΩ Q.133 Consider the following circuit:

What is the power delivered to resistor R in the above circuit? (a) -15 W (b) 0 W (c) 15 W (d) Cannot be determined unless the value of R is known Q.134 Consider the following circuit:

In the above circuit, the current is 2 A when the value of is 20Ω. What will be the value of , when is changed to 10Ω? (a) 1 A (b) 2 A (c) 3 A (d) 4 A

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Q.135 Consider the following network:

Which one of the following is the differential equation for v in the above network?

(a) (c)

(b) (d)

Q.136 Consider the following circuit:

What is the current I in the above circuit? (a) 0 A (b) 2 A (c) 5 A (d) 6 A Q.137 Which one of the following statements is correct? In a four branch parallel circuit, current flows in the each branch. If one of the branches opens, the current in the other branches (a) Increases (b) Decreases (c) Are unaffected (d) Double IES – 2005(ECE)

Q.138 What is the expression for in respect of the network shown below?

(a) (b) (c) (d)

Q.139 If a unit step current is passed through a capacitor what will be the voltage across the capacitor? (a) 0 (b) A step function (c) AFINAL ramp function (d) An impulse function Q.140 Two two-port networks are connected in parallel. The combination is to be represented as a single two-port network. The parameter of this network is obtained by addition of the individual: (a) Z-parameters (b) h-parameters (c) Y-parameters (d) ABCD parameters Q.141 For the network shown below.

Match List I (Y-parameter) with List II (Value) and select the correct answer using the codes given below the lists: List I List II

A. 1. B. 2. -1 C. 3. D. 4. S Codes; A B C D a) 3 2 4 1 b) 1 4 2 3 c) 3 4 2 1 d) 1 2 4 3

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Q.142 Consider the following statements: Superposition theorem is applicable to a linear network in determining 1. The current response 2. The voltage responses 3. The power responses Which of the statements given above are correct? (a) 1 and 2 (b) 1, 2 and 3 (c) 1 and 3 (d) 2 and 3 Q.143 If two identical 3 A, 4 Norton equivalent circuits are connected in parallel with like polarity, the combined Norton equivalent circuit will be (a) 3 A, 8 (b) 6 A, 8 (c) 0 A, 2 (d) 6 A, 2 Q.144 Consider the following statements:

Network in figure (A) can be replaced by the network shown in figure (B) below. When and , respectively, are:

1. 5 A and 2 2. 10 A and 1 3. 15 A and 1/2 4. 30 A and 1/5 Which of the following statements given above is/are correct? (a) 1 only (b) 2, 3 and 4 (c) 1, 2, 3 and 4 (d) 2 and 3 Q.145 For the circuit given below what is the expression for the voltage ?

(a) (b) (c) (d) FINAL Q.146 Consider the following properties of particular network theorem: 1. The theorem is not concerned with type of elements. 2. The theorem is only based on the two Kirchhoff‟s laws. 3. The reference directions of the branch voltages and currents are arbitrary except that they have to satisfy Kirchoff‟s laws. Which of the following theorems has the above characteristics? (a) Thevenin‟s theorem (c) Tellegen‟s theorem (b) Norton‟s theorem (d) Superposition theorem Q.147 For a network of 11 branches and 6 nodes, what is the number of independent loops? (a) 4 (b) 5 (c) 6 (d) 11 Q.148 Which one of the following statements is not correct? a) A tree contains all the verticals of its graph b) A circuit contains all the verticals of its graph c) The number of f-circuits is the same as the number of chords d) There are at least two edges in a circuit Q.149 An RLC series circuit has a resistance R of 20 Ω and a current which lags behind the applied voltage by . If the voltage across the inductor is twice the voltage across the capacitor, what is the value of inductive reactance? (a) 10 Ω (b) 20 Ω (c) 40 Ω (d) 60 Ω Q.150 R and c are connected in parallel across a sinusoidal voltage source of 240 V. If the current through the source and the capacitor are 5A, and 4A, respectively, what is the value of R? (a) 24 Ω (b) 48 Ω (c) 80 Ω (d) 240 Ω

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Q.151 A parallel circuit consists of two branches: one with a pure capacitor and the other has resistor of 5Ω in series with a variable inductor. To this circuit an a.c. voltage of fixed value and frequency is connected. The circuit will exhibit two resonances if: a) The resistance of the capacitor is less than 10Ω b) The reactance of the capacitor is greater than 10 Ω c) The reactance of the capacitor equals 10 Ω d) The capacitor is removed by a short circuit Q.152 In a series RLC circuit, the locus of the tip of the admittance phasor in the complex plane as the frequency is varied, is: a) A semicircle in the upper half of the G-B plane having the centre at (1/R, 0) and radius 1/R b) A circle in the upper half of the G-B plane having the centre at (1/(2R),0) and radius 1/(2R)

c) A semicircle in the bottom half of the G-B plane having the centre at 2 3 and radius 1/(2R)

d) A semicircle in the upper half of the G-B plane having the centre at (-1/R,0) and radius 1/R Q.153 Which one of the following statements is not correct for the circuit shown below at resonant frequency?

(a) The current is maximum (b) The equivalent impedance is real (c) The inductive and capacitive reactance are equal in magnitude

(d) The quality factor equals √

Q.154 A parallel circuit has two branches. In one branch, R and L are in series and in the other branch, R and C are in series. The circuit will exhibit unity power factor when:

(a) R = √ (b) R = √ (c) R = √ (d) R =

Q.155 A step voltage is applied to the circuit shown below . What is the transient current response of the circuit?

(a) Undamped sinusoidal FINAL(c) Underdamped (b) Overdamped (d) Critically damped Q.156 Assertion (A): If a network contains a diode. Thevenin‟s theorem cannot be applied. Reason (R): Thevenin‟s theorem is applicable to linear and bilateral networks only. (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is NOT the correct explanation of A (c) A is true but R is false (d) A is false but R is true IES – 2006(ECE) Q.157 Which of the following theorems can be applied to any network-linear or non-linear, active or passive, time- variant or time –invariant? (a) Thevenin theorem (b) Norton theorem (c) Tellegen theorem (d) Superposition theorem Q.158 The circuit shown below is under steady state condition with the switch closed. The switch is opened at . What is the time constant of the circuit?

(a) 0.1 s (b) 0.2 s (c) 5 s (d) 10 s

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Q.159 If the two circuits shown below are equivalent, then which of the following is/are correct?

1. E = 2 V, R = 5Ω 2. E = 4 V, R = 4 Ω 3. E = 6 V, R = 3 Ω 4. E = 10 V, R = 1 Ω Select the correct using the code given below: (a) Only 1 and 2 (b) Only 3 (c) 1, 2, 3 and 4 (d) None Q.160 For the network shown in the figure given below, what is the value of Z(s)?

( ) (a) (b) (c) (d) ( ) ( ) Q.161 Two 2-port networks with transmission matrices

0 1 and 0 1

Are connected in cascade. Which is the transmission matrix of the combination?

(a) 0 1 (b) 0 1 (c) 0 1 (d) 0 1

Q.162 Which one of the following is a the transmission matrix for the networks shown in the figure given below?

FINAL (a) [ ] (b) [ ] (c) [ ] (d) [ ]

Q.163 What is the value of the parameter for the 2-port network shown in the figure given below?

(a) 0.125 Ω (b) 0.167 Ω (c) 0.250 Ω (d) 0.625 mho

Q.164 The currents and at the output of 2-port network can be written as

– Which one of the following gives the parameters of an equivalent network shown above?

(a) (c) (b) (d)

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Q.165 For the network graph shown in the figure given below, which one of the following not a tree?

Q.166 What is the characteristic impedance of a line having resistance R, inductance L, capacitance C and conductance G?

(a) √ (b) √ (c) (d) √ . /

Q.167 Which of the following are the conditions for a two port passive network to be a reciprocal one?

1. 2. 3. Select the correct conditions form the code given below: (a) Only 1 and 2 (b) Only 2 and 3 (c) Only 1 and 3 (d) 1,2 and 3

Q.168 What is the open circuit impedance Z‟11 (s) of the network shown in the figure given below?

(a) 10 +2s (b) . / (c) . / (d) 10 – 2s

Q.169 What is the value of for the network shown below?

(a) -2Ω (b) -1/2 Ω (c) 1 Ω (d) 2 Ω Q.170 What is the total number of tress for the graph shown FINALbelow?

(a) 4 (b) 8 (c) 12 (d) 16

Q.171 A network with independent sources and resistors shown below in figure (a) has a Thevenin voltage and Thevenin resistance . What are the Norton equivalent current and resistance in the figure (b)?

(a) (b) (c) (d) None of the above ( )

Q.172 The terminal volt ampere conditions of a linear reciprocal network N are shown in figure (a). What is the current I corresponding to the terminal condition shown in the figure (b)?

(a) -1 A (b) 9 A (c) 10 A (d) 11 A

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Q.173 If the switch S in the circuit shown below is opened at . What are the values of ( ) and ( ),

respectively?

(a) 100 V, 10000 V/s (b) 100 V, -10000 V/s (c) -100 V, 10000 V/s (d) -100 V, -10000 V/s

Q.174 If and are the RC driving point admittance and impedance functions, respectively, such that

( )( )

( )

Then, the value of can be

1. 2. 3. (d) s + 2 ( )( ) Which of the above are correct? (a) 1 and 2 (b) 2 and 3 (c) 3 and 4 (d) 1 and 4 IES – 2007(ECE) Q.175 A network has 4 nodes and 3 independent loops. What is the number of branches in the network? (a) 5 (b) 6 (c) 7 (d) 8 Q.176 Which one of the following functions is an RC driving point impedance?

( )( ) ( )( ) ( )( ) ( )( ) (a) (b) (c) (d) ( )( ) ( )( ) ( )( ) ( )( ) Q.177 P(s) = Q(s) = Which one of the following statements is correct for above P(s) and Q(s) Polynomials? (a) Both P(s) and Q(s) are Hurwitz (b) Both P(s) and Q(s) are non-Hurwitz (c) P(s) is Hurwitz but Q(s) is non-Hurwitz (d) P(s) is non-Hurwitz but Q(s) is Hurwitz Q.178 A two port network is reciprocal if and only if (a) (b) BC – AD = -1 FINAL(c) (d) Q.179 Consider the following statements for a driving point function ( ) 1. Re ( ) is an even function of and is 0 or positive for all values of . 2. Im ( ) is an even function of and is 0 or positive for all values of . 3. Re ( ) is an odd function of and is 0 or negative for all values of . 4. Re F(s) = 0 for Re s = 0. Which of the statements given above is/are correct? (a) 1 only (b) 1 and 4 (c) 2,3 and 4 (d) 4 only Q.180 Consider the following expression for the driving point impedance:

( )( ) ( ) ( ) 1. It represents an LC circuit. 2. It represents an RLC circuit. 3. It has poles lying on the axis. 4. It has a pole at infinite frequency and a zero at zero frequency. Which of the statements given above are correct? (a) 2 and 4 (b) 1 and 3 (c) 1 and 4 (d) 2 and 3 Q.181 What are the ABCD parameters of the single element circuit given below?

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(a) 0 1 (b) 0 1 (c) 0 1 (d) 0 1

Q.182 Consider the following statements associated with two-port networks:

1. 2. 3. 4. AD – BC = 1 Which of the statements given above are correct? (a) 1,2 and 3 (b) 2,3 and 4 (c) 1,3 and 4 (d) 1,2 and 4 Q.183 Consider the two port transistor circuit as given below: Match List I (Hybrid Parameter) with List II (Circuit Element) and select the correct answer using the codes given below the lists:

List I List II

A. 1.

B. 2. C. 3. D. 4. Codes: A B C D a) 2 1 4 3 b) 4 3 2 1 c) 2 3 4 1 d) 4 1 2 3 Q.184 Which of the following is/are correct? The circuit shown in the figure below:

FINAL

1. Is reciprocal 2. Has 3. Has Select the correct answer using the codes given below: (a) 1 and 3 (b) 1 and 2 (c) 1 and 4 (d) 3 only Q.185 Which one of the following is correct? The circuit shown in the figure below.

(a) Is reciprocal but not symmetrical (c) Is both reciprocal and symmetrical (b) Is not reciprocal but symmetrical (d) Is neither reciprocal nor symmetrical Q.186

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The graph of a network is shown in figure above. Which one of the figures shown below is not a tree of the graph?

Q.187 A 2-terminal network consists one of the RLC elements. The element is connected to an a.c. supply. The current through the elements is I.A. When an inductor is inserted in series between the source and the elements, the current through the element becomes 2I A. What is this element? (a) A resistor (b) An inductor (c) A capacitor (d ) Cannot be a single element Q.188 What are the source voltage and source resistance, respectively for the Thevenin‟s equivalent circuit as seen from the terminals indicated in the circuit given below?

(a) 2.0 V, 24Ω (b) 20 V, 48 Ω (c) 20 V, 4.8 Ω (d) 20 V, 12 Ω Q.189 What is the Thevenin resistance seen from the terminals AB of the circuit shown in the figure below?

(a) 2 (b) 4 (c) 8 (d) 12 Q.190 What is the value of R required for maximum power transfer in the network shown below?

(a) 2 (b) 4 (c) 8 (d) 16 Q.191 In the circuit shown below, if the current through the resistorFINAL R is zero, what is the value of I?

(a) 1 A (b) 2 A (c) 3 A (d) 4 A Q.192 A reactive network has poles at , 4000 rad/s and infinity and zeros at and 6000 rad/s. The impedance of the network is –j 700 Ohm at 1000 rad/s. What is the correct expression for the driving point impedance?

( )( ) ( ) (a) – ( ) (b) ( ) ( ) ( )( )

( )( ) ( ) (c) ( ) (d) ( ) ( ) ( )( ) Q.193 What is the minimum number of elements required to realize a given driving point susceptance function? a) One greater than the total number of internal poles and zeros b) Equal to the total number of internal poles and zeros. c) One less than the total number of internal poles and zeros d) None of the above Q.194 ( ) : Input voltage ( ): Output voltage Consider the circuit shown below:

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What is the natural response of this system? (a) A sinusoid with constant amplitude (c) Zero (b) A growing sinusoid (d) A decaying sinusoid IES – 2008(ECE) Q.195

In the circuit shown above, the switch is open for a long time and closed at time . What is the current through the switch after the switch is closed? (a) Zero (b) 1 A (c) 2 A (d) 5 A Q.196 In the circuit shown below, the switch is closed at . What is the initial value of the current through the capacitor?

(a) 0.8 A (b) 1.6 A (c) 2.4 A (d) 3.2 A Q.197 Consider a circuit which consists of resistors and independent current sources, one independent voltage source connected between the nodes and . The equations are obtained for voltage of n unknown nodes with respect to one reference node in the form

What are the elements of the ? FINAL (a) All conductances (c) Mixed conductances (b) All resistances (d) Mixed conductances and resistances Q.198

In the circuit shown above, what is the voltage ( )?

(a) (b) v (c) (d) 1 Q.199 In the circuit shown below, when is the power absorbed by the 4 resistor, maximum?

(a) R = 0 (b) R = 2 (c) R = 4 (d) R = Q.200 In a network containing active components, output voltage a) Will always be greater than input voltage b) Will always be equal to the input voltage c) Can be less than or greater than input voltage only d) Will be less than, equal to or greater than input voltage Q.201

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Which one of the following represents the linear mathematical model of the physical system shown in the above figure?

( ) ( ) ( ) ( ) (a) ( ) ( ) (c) ( ) ( )

( ) ( ) ( ) ( ) (b) ( ) (d) ( ) ( )

Q.202 If the state space equation of a system is ̇ 0 1

And the initial state value ( ) , – - . The steady-state value is , - what is the respective values of A and B? (a) 0, 0 (b) -3, -2 (c) 0, 1 (d) Q.203 Match List – I (form) with List II (Method) with respect to the synthesis of R-C driving point function ( ) ( ) and select the correct answer using the code given below the lists: List I List II A. foster I Form 1. Continued fraction expansion of Z(s) around . B. Foster II form 2. Partial fraction expansion of ( ) C. Causer I form 3. Continued fraction expansion of ( ) around D. Causer II form 4. Partial fraction expansion of Z(s) Codes: A B C D a) 1 2 4 3 b) 4 3 1 2 c) 1 3 4 2 d) 4 2 1 3 Q.204 The lowest and the highest critical frequency of an R-L driving point impedance are, respectively (a) a zero, a pole (b) a pole, a pole (c) a zero, a zero (d) a pole, a zero

Q.205 For an RC driving – point impedance function ( )

(a) ( ) ( ) FINAL(b) ( ) ( ) only

(a) (b) (c) (d)

Q.207 A two port network has . Its and parameters will respectively, be

(a) (b) (c) (d) Q.208 A reciprocal two-port network is symmetrical if

(a) (b) A = C (c) (d) Directions: The following items consist of two statements one labeled as ‘Assertion (A)’ and the other as ‘Reason (R)’. You are to examine these two statements carefully and select the answer these items using the codes given below: Codes: (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is not a correct explanation of A (c) A is true but R is false (d) A is false but R is true Q.209 Assertion (A): The Kirchhoff‟s current law states that the sum of currents entering at any node is equal to the sum of currents leaving that node. Reason (R): The Kirchoff‟s current law is based on the law of conservation of charge. Q.210 Assertion (A): In a linear network, the superposition theorem can be used to calculate power dissipation in a resistive branch of the network.

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Reason (R): Superposition theorem is valid for currents and voltages, and therefore is valid also for power dissipation. Q.211 Assertion (A): Power factor is defined as the ratio of apparent power to the average power in an a.c. circuit. Reason (R): The magnitude of power factor is always less than unity. Q.212 Assertion (A): Sinusoidal response in an a.c. circuit be represented in rectangular form as , exactly in a way similar to vectors which we come across for force analysis in mechanics. Reason (R): Phasors are nothing but vectors. Q.213 Assertion (A): A high pass R-C circuit has a lower cut off frequency but does not have any upper cut off frequency. Reason (R): The transfer function of a high pass R-C circuit can be written as

| | ( )

√ ( )

Where

Q.214

For the circuit shown in the above figure, what is the natural frequency? (a) 1 M rad/s (b) 2 M rad/s (c) 3 M rad/s (d) 5 M rad/s Q.215 Which one of the following relations for power is not correct? (a) (b) , - (c) , - (d) Q.216 What is the number of chords of a connected graph G of n vertices and e edges? (a) ( ) (b) (c) (d) Q.217 What is the approximate load resistor that draws maximum power form the source in the circuit given below?

FINAL

(a) ( ) (b) ( ) (c) ( ) (d) None of the above Q.218 Match List I (Theorem/Law) with List II (Property) and select the correct answer using the code given below the lists: List I List II A. Norton‟s theorem 1. Effects of independent source in a linear circuits are additive B. Superposition theorem 2. Law of non-accumulation of charge holds good at nodes C. Thevenin‟s theorem 3. Current sources with shunt resistor D. Kirchoof‟s current law 4. Voltage source with series resistor Codes: A B C D a) 2 4 1 3 b) 3 1 4 2 c) 2 1 4 3 d) 3 4 1 2 Q.219 Which of the following statements are associated with Thevenin‟s theorem? 1. Impedance through which current is required is removed and open circuit voltage is found. 2. It is applicable to only d.c. circuits. 3. The network is replaced by a voltage source and a series impedance remains after removing the load impedance. Select the correct answer using the codes given below. (a) 1 and 2 only (b) 1 and 3 only (c) 2 and 3 only (d) 1, 2 and 3

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Q.220 Width of resonance curve in an R-L-C network is determined by which one of the following? (a) R alone (b) L alone (c) C alone (d) All R, L and C Q.221 Consider the following statements: When a series R-L-C circuit is under resonance 1. Current is maximum through R 2. Magnitude of the voltage across L is equal to that across C 3. The power factor of the circuit is unity Which of the statements given above are correct? (a) 1, 2 and 3 (b) 1 and 2 only (c) 2 and 3 only (d) 1 and 3 only Q.222 Consider the following statements with regard to a complete incidence matrix: 1. The sum of the entries in any column is zero. 2. The rank of the matrix is where n is the number of nodes. 3. The determinant of the matrix of a closed loop is zero. Which of the statements given above are correct? (a) 1 and 2 only (b) 2 and 3 only (c) 1 and 3 only (d) 1, 2 and 3 IES – 2009(ECE) Q.223 For a series R-L-C circuit, the characteristic equation is given as

If is denoted by and by , then under the condition of , the system will be √ (a) Critically damped (b) Under damped (c) Undamped (d) Over damped Q.224 In the circuit given below, the switch has been in position 1 for quite a long time. At the switch is moved to position 2. At this position what is the time constant?

(a) 0.1 s (b) 1 s (c) 0.11 s (d) 1.11 s Q.225 In the circuit given below, the switch is open for a long time. At time , the switch is closed. What are the initial and final values of voltage across the inductor?FINAL

(a) (a) 0 V and 0 V (b) 0 V and 80 V (c) 80 V and 0 V (d) 80 V and 80 V Q.226 The voltage applied to an R-L circuit at when switch is closed is ( ). The circuit resistance is 80Ω and inductance is 0.6 H (in which initial current is zero). What is the maximum amplitude of current flowing through the circuit? (b) (a) 1 A (b) 2 A (c) 5 A (d) 10 A

Q.227 A series R-C circuit with R = 3 and at 50 Hz is supplied with a voltage . What is the RMS value of the current flowing through the circuit? (a) 5 A (b) 10 A (c) 20 A (d) 22.36 A Q.228 What is the approximate steady state current in the circuit shown below?

(c) 50 A (b) 25 A (c) 5 A (d) 1 A Q.229 Consider the following statements regarding the properties of an R-L-C series circuit under resonance: 1. Current in the circuit is in phase with applied voltage. 2. Voltage drop across capacitor C and inductance L are equal in magnitude.

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3. Voltage across the capacitor is equal in magnitude to the applied voltage. 4. Current in the circuit is maximum. Which of the above statements is/are correct? (a) 1 only (b) 1, 2 and 4 (c) 2 and 4 (d) 1, 3 and 4 Q.230 Which one of the following is applicable to any network linear or non-linear, active or passive, time-varying or invariant –as long as Kirchhoff‟s laws are not violated? (a) Tellegen‟s theorem (c) Maximum power transfer theorem (b) Reciprocity theorem (d) Superposition theorem Q.231 Number of fundamental cut-sets of any graph will be (a) Same as the number of twigs (c) Same as the number of the nodes (b) Same as the number of tree branches (d) Equal to one Q.232 If in an electric network R, L and C are connected in series and supplied by a voltage source then its dual network will be described by the differential equation :

( ) ( ) (a) ( ) ( ) ∫ ( ) (c) i( ) ( ) ∫ ( )

( ) ( ) (b) ( ) ( ) ∫ ( ) (d) ( ) ( ) ∫ ( )

Q.233 In a network with twelve circuit elements and five nodes, what is the minimum number of mesh equations? (a) 24 (b) 12 (c) 10 (d) 8 Q.234 With respect to transmission parameters, which one of the following is correct? (a) A and B are dimensionless (c) A and D are dimensionless (b) B and C are dimensionless (d) B and D are dimensionless Q.235 Match List I (Network parameter) with List II (Measure under open – circuit conditions) and select the correct answer using the code given below the lists: List I List II

A. 1. |

B. 2. |

C. 3. |

D. 4. |

Codes: A B C D FINAL a) 1 4 2 3 b) 3 4 2 1 c) 1 2 4 3 d) 3 2 4 1 Q.236 Which one of the following driving point functions does not represent an LC network?

( ) ( ) ( )( ) ( ) (a) ( ) (b) ( ) (c) ( ) (d) ( ) ( )( ) ( ) ( )( ) ( ) Q.237 If a two port network is reciprocal as well as symmetrical, which one of the following relationships is correct?

(a) and (c) and A = D (b) and (d) All of the above Q.238 If the connection of two ports is such that the transmission matrix of the overall network is the product of the transmission matrices of the individual networks, what type of connection is it? (a) Series connection (b) Cascade connection (c) Parallel connection (d) None of the above Q.239 Consider the below network, impedance of this network as a function of the complex frequency s consists of a certain number of zeros and poles. What is the location of poles?

(a) -2 (b) -2, (c) 2 (d) 2, Q.240 Consider the following network function

( ) ( ) ( )( )( )

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In order to make N(s) as rational network function, it is essential to include (a) Zero at origin (b) Zero at infinity (c) Pole at origin (d) Pole at infinity Q.241 For determining the network functions of a two port network, it is required to consider that (a) All initial conditions remain same (c) Part of initial conditions are equal to zero (b) All initial conditions are zero (d) Initial conditions vary depending on nature of network Q.242 All poles and zeros of a driving point immittance function of an L-C network (a) Should lie on the axis (c) Should lie on the –ve real axis (b) Should lie on the real axis (d) Can lie anywhere in s-plane Q.243 Assertion (A): Ideal current sources and ideal voltage source do not exist in reality. Reason (R): All sources have infinite internal impedances. (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is NOT the correct explanation of A (c) A is true but R is false (d) A is false but R is true IES – 2010(ECE) Q.244 A first order circuit is excited with a dc source. The current ( ) through any element of the circuit can be written as ( and are the final and initial values, respectively, of the current)

(a) ( ) (b) ( )

Fig. for Q.245 Fig. for Q.246 (a) 0 (b) 10 (c) 10 (d) ( )

Q.246 In the circuit shown below, the switch is closed after a long time. The current ( ) through the switch is

(a) 1 A (b) (c) (d) 0 A

Q.247 The value of R in the below circuit is FINAL

Fig. for Q.247 Fig. for Q.248 (a) 4 (b) 40 (c) 44 (d) 440 Q.248 For the network shown below ( – ) , (I = the current delivered by the voltage source V). The Thevenin voltage and resistance for the network N across the terminals AB are respectively (a) -10 V, 5 (b) 10 V, 5 (c) -10 V, 0.2 (d) 10 V, 0.2 Q.249 The value of current in 80 resistor of below circuit is

Fig. for Q.249 Fig. for Q.250 (a) 0.5 A (b) 2.0 A (c) 5.0 A (d) 20.0 A

Q.250 Thevenin equivalent voltage and resistance across the terminals AB in the below circuit are (a) 6 V, 5 (b) 4 V, 5 (c) 2 V, 2.4 (d) 2 V, 2.5

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Q.251 What is the voltage across the load resistance in the below circuit? The value of each resistor connected in the circuit is 10 .

Fig. for Q.251 Fig. for Q.252 (a) 3.33 V (b) 33.33 V (c) 333.33 V (d) 0 V

Q.252 In the circuit shown below, the current through is (a) 6 A (b) 4 A (c) 2 A (d) 0 Q.253 In the circuit shown below, the current I is

(a) 1 A (b) 1.5 A (c) 2.5 A (d) 4 A Q.254 It is required to find the current through a particular branch of a linear bilateral network without mutual coupling when the branch impedance takes four different values. Which one of the following methods will be preferred? (a) Mesh analysis (c) Nodal analysis (b) Thevenin‟s equivalent circuit (d) Superposition theorem Q.255 A source having internal impedance of ( ) is to deliver maximum power to a resistive load. The load resistance should be that of the first one is (a) (b) 12 (c) 15 (d) 21 Q.256 A voltage source of 240 V having an internal impedance of ( ) is supplying power to a complex load impedance . What will be the maximum power transferred to the load? (a) 2.4 kW (b) 3.6 kW (c) 4.8 kW (d) 6.0 kW Q.257 In the circuit shown below, switch S is closed at . The time constant of the circuit and initial value of current ( ) are FINAL

(a) 30 sec, 0.5 A (b) 60 sec, 1.0 A (c) 90 sec, 1.0 A (d) 20 sec, 0.5 A Q.258 In the below shown circuit, the independent current source generates zero current for and a pulse , for . At what instant of time, will the current attain the maximum value in the circuit?

Fig. for Q.258 Fig. for Q.259 (a) 0.25 sec (b) 0.5 sec (c) 1 sec (d) 2 sec Q.259 Voltage and current expression for the below circuit are given at as . The value of L will be (a) 0.005 H (b) 0.05 H (c) 0.5 H (d) 5 H Q.260 The power dissipated in the 1 resistor is 1 W due to the 5 V voltage source alone and 576 W due to 30 A current source alone. The total power absorbed in the same resistor due to both the sources is

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(a) 577 W (b) 575 W (c) 625 W (d) 529 W

Q.261 The driving point impedance of a network is given by ( ) . The Foster realization of the network is ( )

Q.262 In the below circuit, the value of C for the circuit to exhibit a power factor of 0.86 is approximately

(a) 0.4 F (b) 0.6 F (c) 1.4 F (d) 0.1 F Q.263 Consider the following statements: They are given as necessary conditions for driving point functions with common factors in ( ) and ( ) cancelled. 1. The coefficients of the polynomial in p(s) and q(s) must be real. 2. Poles and zeroes must be conjugate pairs if imaginary of complex. 3. The terms of lowest degree in p(s) and q(s) may differ in degree by one at most. Which of the above statements is/are correct? (a) 1, 2 and 3 (b) 1 only (c) 1 and 2 only (d) 2 and 3 only Q.264 Consider the following statements: 1. The coefficients in the polynomials p(s) and q(s) must be real and positive. 2. Poles and zeroes of Z(s) must be conjugate if imaginary or complex.

( ) Which of these statements are associated with the drivingFINAL point function ( ) ? ( ) (a) Both 1 and 2 (b) 1 only (c) 2 only (d) Neither 1 nor 2

Q.265 A two-port network has the ABCD parameters 0 1 . Two such identical networks are cascaded. The ABCD

parameters are cascaded. The ABCD parameters of the overall cascaded network will be

(a) 0 1 (b) 0 1 (c) 0 1 (d) 0 1

Q.266 With reference to the below network the value of will be

Fig. for Q.266 Fig. for Q.267 (a) -3 (b) 3 (c) -1 (d) -5 Q.267 The value of V that would result in a steady state current of 1 A through the inductor in the below circuit is (a) 30 V (b) 15 V (c) 20 V (d) 25 V Q.268 Consider the following statements for a symmetrical T section:

1. and are equal. 2. and are equal. 3. and are equal.

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4. and are equal. Which of these statements are correct? (a) 1 and 2 only (b) 2 and 3 only (c) 3 and 4 only (d) 1, 2, 3 and 4 Q.269 Match List I (Excitation) with List II (Two port parameters) and select the correct answer using the code given below the lists: List I List II

A. 1. z B. 2. y C. 3. g D. 4. h Codes: A B C D a) 1 2 3 4 b) 4 2 3 1 c) 1 3 2 4 d) 4 3 2 1

Q.270 The below network contains resistors and controlled sources. is

(a) (b) (c) (d)

Q.271 In the case of ABCD parameters, if all the impedances in the network are doubled, then a) A and D remain unchanged, C is halved and B is doubled b) A, B, C and D are doubled. c) A and B are doubled, C and D are unchanged d) A and D are unchanged, C is doubled and B is halved Q.272 Which of the following pair of values of L and C should be used in a tank circuit to obtain a resonant frequency of 8 kHz? The bandwidth is 800 Hz and winding resistanceFINAL of the coil is 10 ohms. (a) and (b) 10 H and 0.2 (c) 1.99 mH and 0.2 (d) 1.99 mH and 10 Q.273 Consider the following statements: 1. Power factor will be unity. 2. Current in circuit will be maximum 3. current in circuit will be minimum. Which of these statements are correct with respect to resonance in R-L-C parallel circuit? (a) 1, 2 and 3 (b) 1 and 2 only (c) 2 and 3 only (d) 1 and 3 only Q.274 The current in the below network is

(a) | | ( ) (b) | | ( ) (c) | | ( ) (d) | | ( ) IES – 2011(ECE) Q.275 Consider the circuit shown below. The portion of the circuit left to the terminals AB can be replaced by

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Which of the following is correct? (a) 1 and 2 only (b) 2 and 3 only (c) 1, 2 and 3 only (d) 1, 2, 3 and 4 Q.276 Time constants of R-L and R-C circuits are respectively: and (a) 1 sec and 1 sec (b) 1 sec and 2 sec (c) 2 sec and 3 sec (d) 2 sec and 4 sec Q.277 Which one of the following gives the characteristics of an ideal voltages source?

Q.278 The circuit shown in the figure is in steady state before the switch is closed at . The current ( ) through the switch is

a) (a) 1/3 A (b) 2/3 A (c) 1 A (d) 0 A Q.279 Consider the following statements: 1. Voltage across a capacitor cannot change abruptly. 2. Voltage across an inductor cannot change abruptly. 3. Current through a capacitor cannot change abruptly. 4. Current through an inductor cannot change abruptly. Which of these statements are correct? (a) 1 and 2 only (b) 2 and 3 only (c) 3 and 4 only (d) 1 and 4 only Q.280 Match List I with List II and select the correct answer using the code given below the lists: List I FINALList II A. Super position theorem 1. Impedance matching in audio circuits B. Thevenin‟s theorem 2. Linear bilateral networks C. Kirchoff‟s voltage and current laws 3. Large network in which currents in few elements to be determined. D. Maximum power transfer theorem 4. Currents and voltage in all branches of a network Codes: A B C D b) 1 4 3 2 c) 2 4 3 1 d) 1 3 4 2 e) 2 3 4 1 Q.281 The current through the branch AB in the figure shown is

Fig. for Q.281 Fig. for Q.282 (a) 10 A, from A to B (b) 10 A, from B to A (c) 0 (d) 20 A, from B to A Q.282 In the circuit shown, the switch is opened at . The circuit is (a) Critically damped (b) Under – damped (c) Over – damped (d) Undamped

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Q.283 In the circuit shown, the initial current through the inductor is given in the figure. The initial value of the

voltage across the inductor ( ) is

Fig. for Q.283 Fig. for Q.284 (a) 12.5 V (b) 5.0 V (c) 10.0 V (d) 0.0 V

Q.284 For the network shown in the figure, and are, respectively

(a) and (c) and

(b) and (d) and

Q.285 A two-port network satisfies the following relations:

1. The network is reciprocal 2. and 3. and 4. and Which of these relations are correct? (a) 1, 2, 3 and 4 (b) 2 and 3 only (c) 3 and 4 only (d) 1 and 2 only

Q.286 In the circuit shown, 2-port network N has , and . The

current gain is

FINAL

(a) -50 (b) 50 (c) +20 (d) -20

Q.287 In the 2-port network shown in the figure, the value of is

(a) (b) (c) -3 mho (d) 3 mho

( ) Q.288 For a network transfer function ( ) , where ( ) and ( ) are polynomials in s, ( ) 1. The degree of P(s) and Q(s) are same. 2. The degree of P(s) is always greater than the degree of Q(s). 3. The degree of P(s) in independent of the degree of Q(s) 4. The maximum degree of P(s) and Q(s) differ at the most by one. Which of these statements are correct? (a) 1, 2, 3 and 4 (b) 1, 2, and 3 only (c) 1, 2 and 4 only (d) 2, 3 and 4 only Q.289 The driving point impedance of the network shown in figure is

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(a) 10 + 2s (b) 10 + 2s + (c) 10 (d)

Q.290 The valid pole zero patterns for an RL driving point impedance function, are

(a) 1 and 2 only (b) 2 and 3 only (c) 3 and 4 only (d) 1, 2, 3 and 4

( )( ) Q.291 The Foster I realization of the driving point impedance function ( ) is shown below. ( )

The values of and are respectively,

(a) 3 H and (b) 3 H and (c) and (d) and

Q.292 Consider the following statements: 1. Poles and zeros are simple and interlace. 2. Residues at the poles on the imaginary axis are real. 3. ( ) ( ). 4. The slopes of the reactance curves are positive

Which of these properties are correct for an RC driving point impedance ( )? (a) 1 and 3 only (b) 2 and 4 only (c) 3 and 4 only (d) 1, 2, 3 and 4

Q.293 Two coils and turns are wound concentrically on a straight cylindrical core of radius r and permeability . The windings have length and respectively as shown in figure. The mutual inductance will be

FINAL

1. Proportional to . 2. Proportional to . 3. Inversely proportional to . 4. Inversely proportional to . Which of these statements are correct? (a) 1, 2, 3 and 4 (b) 2, 3 and 4 only (c) 1, 2 and 3 only (d) 1, 3 and 4 only Q.294 Assertion (A): The power factor of an inductor is zero. Reason (R): The voltage across and current through the inductor are in quadrature. Q.295 Assertion (A): When a series RLC circuit is in resonance the current flowing in the circuit is maximum. Reason (R): The inductive reactance and the capacitive reactance are equal in magnitude at resonance. Q.296 A series resonant circuit has a resistance of 47 ohms, inductance of 2 H and capacitance of 2 with a supply voltage of 10 volts. The current through the circuit at resonance is (a) 0.833 amp (b) 0.212 amp (c) 0.196 amp (d) 0 amp

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Electrical Engineering (IES)

IES – 2001(EE) Direction : The following 4 items consist of two statements one labelled as ‘Assertion A’ and the other labelled as ‘Reason R’. You are to examine these two statements carefully and decide if the Assertion A and the Reason R are individually true and if so, whether the Reason is a correct explanation of the Assertion. Select your answers to these items using the codes given below and mark your answer sheet accordingly. (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is NOT the correct explanation of A (c) A is true but R is false (d) A is false but R is true Q.1 Assertion (A): The current in a constant inductive system does not change instantaneously. Reason (R): In constant inductive system the flux linkage is conserved initially. Q.2 Assertion (A): Equivalent network obtained from transformation relationships in general is valid only for one frequency. Reason (R): The impedances involved in vary with frequency. Q.3 Assertion (A): Norton‟s theorem is applied to a network for which no equivalent Thevenin‟s network exists. Reason (R): Norton‟s Theorem enables one to calculate quickly current and voltage in a particular branch of interest in a complicated network. Q.4 Assertion (A): A unit current impulse applied to a capacitor of „C‟ farads instantly inserts 1/2C Joules of energy in it. Reason (R): A unit current impulse has infinite current for zero duration and encloses a charge of one coulomb in it. Q.5 The current in the given circuit with a dependent voltage source is

FINAL (a) 10 A (b) 12 A (c) 14 A (d) 16 A Q.6 The value of resistance „R‟ shown in the given figure is

(a) (b) 2.5 (c) 1 (d) 4.5 Q.7 An electric circuit with 10 branches and 7 nodes will have (a) 3 loop equations (b) 4 loop equations (c) 7 loop equations (d) 10 loop equations

Q.8 For the circuit shown in the given figure, the current through L and the voltage across are respectively

(a) Zero and RI (b) I and zero (c) Zero and Zero (d) I and RI Q.9 For the circuit shown in the given figure, when the voltage E is 10 V, the current is 1A. If the applied voltage across terminal C – D is 100 V, the short circuit current flowing through the terminals A – B will be

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(a) 0.1 A (b) 1 A (c) 10 A (d) 100 A

Q.10 The Thevenin‟s equivalent resistance for the given network is

(a) 1 (b) 2 (c) 4 (d) Infinity Q.11 For the circuit shown in the given figure the current I is given by

(a) 3 A (b) 2 A (c) 1 A (d) Zero Q.12 The value of V in the circuit shown in the given figure is

(a) 1 V (b) 2 V (c) 3 V (d) 4 V

Q.13 The Norton‟s equivalent of circuit shown in figure I is drawn in the circuit shown in figure II. The value of and in figure II are respectively FINAL

(a) 5/2 A and 2 (b) 2/5 A and 1 (c) 4/5 A and 12/5 (d) 2/5 A and 2 Q.14 A pole of driving point admittance function implies. a) Zero current for a finite value of driving voltage b) Zero voltage for a finite value of driving current c) An open circuit condition d) None of (a), (b) and (c) mentioned in the question Q.15 The driving point function of the circuit shown in the given figure when and , (the elements are normalized) will respectively be

(a) 1/s and 2/s (b) 1/s and 0.75 (c) 0.75 and 2/s (d) 2/s and 0.75

Q.16 The response of a network is expressed by the differential equation . If , the dominant

solution for is of the nature

(a) (b) (c) (d) Q.17 A unit step ( ) is applied to the RL network

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The current is given by (a) (b) [ ( )] ( ) (c) , - ( ) (d) ( ) Q.18 The response of an initially relaxed system to a unit ramp excitation is ( ). Its step response will be

(a) (b) (c) (d)

Q.19 Two current waveforms as shown in the Figure 1 and Figure 2 are passed through identical resistors of 1 . The ratio of heat produced in these resistors in a given time by current of figure I to figure II is

(a) 2 : 1 (b) 1 : 2 (c) 1 : 1 (d) 1 : √ Q.20 The response of a network is ( ) for where is real positive. The value of „t‟ at which the ( ) will become maximum, is (a) (b) 2 (c) 1/ (d) Q.21 Cauer and Foster forms of realizations are used only for (a) Driving point reactance functions (c) Driving point impedance functions (b) Transfer reactance functions (d) Transfer impedance functions

Q.22 For the given driving point impedance function ( ) , the circuit realization is shown in the given ( ) figure. Then the values of L and C are, respectively

(a) 0.5 and 5 (b) 2 and 1 (c) 4 and 1 (d) 4 and 3

Q.23 The h parameters and are related to z and y parametersFINAL as (a) and (c) and

(b) and (d) and

Q.24 The driving point impedance ( ) .

The system is initially at rest. For a voltage signal of unit step, the current i(t) through the impedance Z is given by

(a) (b) (c) (d)

Q.25 If , the voltage of the source of the given circuit, is given by

(a) (b) (c) (d) Q.26 The steady state in the circuit, shown in the given figure is reached with S open. S is closed at t = 0. The current I at is

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(a) 1 A (b) 2 A (c) 3 A (d) 4 A

Q.27 The system function ( ) . For an input signal , the steady state response is

(a) . / (b) (c) . / (d) √ √ Q.28 The value of the capacitance „C‟ in the given ac circuit to make it a constant resistance circuit OR for the supply current to the independent of its frequency is

(a) 1/16 F (b) 1/12 F (c) 1/8 F (d) 1/4 F Q.29 The resonant frequency of the given series circuit is

(a) √ (b) √ (c) √ (d) √

Q.30 The transfer function

( ) is for an active ( ) (a) Low pass filter (b) Band pass filter (c) High pass filter (d) All pass filter IES – 2002(EE) Q.31 The resistance seen from the terminals A and B of the device whose characteristic is shown in the figure below is

(a) (b) (c) (d) 5

Q.32 The Fig. 1 shows a network in which the diode is an idealFINAL one.

The terminal characteristics of the network is given by

Q.33 The current through 120 ohm resistor in the circuit shown in the figure below is

(a) 1 A (b) 2 A (c) 3 A (d) 4 A Q.34 The characteristic of an element is shown in the figure given below. The element is

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(a) Non – linear, active, non – bilaterial (c) Non – linear, passive, non – bilateral (b) Linear, active, non bilateral (d) Non linear, active, bilateral Q.35 If the combined generator and line impedance is ( ) , then for the maximum power transfer to a load impedance from a generator of constant generated voltage, the load impedance is given by which one of the following (a) ( ) (b) ( ) (c) ( ) (d Q.36 Superposition theorem is not applicable for (a) Voltage calculate (b) Bilateral elements (c) Power calculations (d) Passive elements Q.37 For the circuit shown in figure below the power delivered by the 2 volt source is given by

(a) 4 W (b) 2 W (c) -2 W (d) -4 W Q.38

The , - parametres of the network given in Fig. 1 are given by

(a) 6 7 (b) 6 7 (c) [ ] (d) 6 7

Q.39 The impulse response of an LTI system is given by ( ). If input to the system is given by then the output of the system is given by (a) ( ) ( ) (b) ( ) ( ) (c) ( ) (d) ( )

( ) Q.40 For the circuit shown in the given figure below. If , ( ) and , then R is

FINAL

(a) 2 K (b) 3 K (c) 5 K (d) 10 K Q.41 In the circuit shown in the given figure, the switch is closed at .

The current through the capacitor will decreased exponentially with a time constant: (a) 0.5 s (b) 1 s (c) 2 s (d) 10 s Q.42 In the circuit shown in the given figure the switch is moved form position A to B at time . The current through the inductor satisfies the following conditions: ( ) ( ) ( ) .

The value of R is

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(a) 0.5 ohm (b) 2 ohm (c) 4 ohm (d) 12 ohm Q.43 In the given RC circuit, the current ( ) .

The applied voltage ( ) is (a) ( ) (c) ( ) (b) ( ) (d) ( ) Q.44 In the circuit shown in the given figure.

The current through the inductor L is (a) 0 A (b) 3 A (c) 4 A (d) 8 A

Q.45 A parallel circuit consists of two branches. One branch has and L connected in series and the other branch has and C connected in series. Consider the following statements:

1. The two branch currents will be in quadrature if . 2. The impedance of the whole circuit is independent of frequency, if and √ 3. The circuit is in resonance for all the frequencies if 4. The two branch currents will be in phase at √ Which of the above statements are corrects? (a) 1 and 2 (b) 2 and 3 (c) 1 and 3 (d) 3 and 4

Q.46 Three currents and are approaching a node.

If ( ) , and ( ) , then is (a) 0 (b) ( ) (c) ( ) (d) √ ( ) Q.47 At resonant frequency a R-L-C series circuit draws maximum current due to the reason that a) The difference between capacitance reactance andFINAL inductance reactance is zero b) The impedance is more than the resistance c) The voltage across the capacitor equals the applied voltage d) The power factor is less than unity Q.48

In the given circuit, at resonance, in Amperes is equal to (a) 0 (b) 10 (c) 5 (d) 0.5 Q.49 Consider the following statements about the quality factor of a R-L-C circuit: 1. For the critically damped circuit, the quality factor Q = ½ 2. Higher the value of quality factor higher will be the bandwidth of the circuit 3. Higher the value of quality factor lower will be the bandwidth of the circuit. 4. For underdamped circuits the value of Q is greater than ½ Which of these statements are correct? (a) 1 and 2 (b) 1 and 3 (c) 2 and 4 (d) 1, 3 and 4 Q.50 When two Wattmeter method of measurement of power is used to measure power in a balanced three phase circuit; if the Wattmeter reading is zero, then (a) Power consumed in the circuit is zero (b) Power factor of the circuit is zero (c) Power factor is unity (d) Power factor is 0.5 Q.51 The inductance matrix of a system of two mutually coupled inductor shown in figure 1 is given by Electronics/Electrical Engineering

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0 1

When the inductors are connected as shown in figure 2, the equivalent inductance of the system is given by (a) 20 H (b) 4 H (c) 16 H (d) 8 H Direction : The following 5 items consist of two statements one labelled as „Assertion A‟ and the other labelled as „Reason R‟. You are to examine these two statements carefully and decide if the Assertion A and the Reason R are individually true and if so, whether the Reason is a correct explanation of the Assertion. Select your answers to these items using the codes given below and mark your answer sheet accordingly. (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is NOT the correct explanation of A (c) A is true but R is false (d) A is false but R is true Q.52 Assertion (A): Node voltage analysis of networks is a method that uses Kirchoff‟s current law to obtain a set of simultaneous equations that, when solved, will provide equations that, when solved, will provide information concerning the magnitudes and information concerning the magnitudes and phase angles of the voltage across each branch. Reason (R): The ideal generator maintains a constant voltage amplitude and wave shape regardless of the amount of current it supplied to the circuit. Q.53 Assertion (A): All networks made of passive, linear time invariant elements are reciprocal. Reason (R): Passivity and time invariance of elements do not guarantee reciprocity of the network. Q.54 Assertion (A): Transfer impedance of network is always the reciprocal of its transfer admittance Reason (R): The impedance of a network is the reciprocal of its admittance Q.55 Assertion (A): There are pulsations in power of a balanced three phase system Reason (R): The three phase generators produce sinusoidal voltage and current. IES – 2003(EE) FINAL Q.56 Assertion (A): In a series R-L-C circuit, the current is minimum at resonant frequency Reason (R): The maximum voltage across the capacitor occurs at a frequency lower than the resonant frequency Q.57 The black box as shown in the circuit below contains resistors and independent sources. For R = 0 and 2, the value of current I is 3 and 1.5 respectively. The values of I for R = 1 will be

Fig. for Q.57 Fig. for Q.58 (a) 0.5 (b) 1.5 (c) 2.0 (d) 3.0

Q.58 For the circuit shown below, the value of is 0 when I = 4 A. The value of I when , is (a) 6 A (b) 8 A (c) 10 A (d) 12 A

Q.59 The linear network as shown below has only resistors. If and ; V is found to be 80 V. V = 0 when and . Then the value of V when is

Fig. for Q.59 Fig. for Q.60 (a) 25 V (b) 50 V (c) 75 V (d) 100 V

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Q.60 The total impedances of ( ) of the circuit shown below is (a) ( ) (b) ( ) (c) ( ) (d) ( )

Q.61 The impedances of a parallel RLC network is ( ) . Then the value of R, L and C are respectively

(a) 10 (b) 1 (c) (d) 2

Q.62 For a driving point impedance function ( ) ; the voltage will lead the current sinusoidal input, if

(a) real positive and (b) is real positive and is real negative and (c) and are real positive and (d) and are real negative and Q.63 The impedance Z(s) In the below circuit is

( ) ( ) ( ) ( ) (a) 4 5 (b) 4 5 (c) 4 5 (d) 4 5 . / ( ) . / ( ) . / ( ) . / ( )

( ) Q.64 A unit step current of 1 A is applied to a network whose driving point impedance is ( ) ( ) ( ) Then the steady state and initial values of the voltage developed across the source are respectively (a) ( ) (b) ( ) (c) ( ) (d) ( )

Q.65 For the two port network as shown below, is equal to

(a) (b) . / (c) (d)

Q.66 The driving point impedance function ( ) can be realized as a

(a) R – C network (b) R – L network (c) L – C network (d) R – L – C network Q.67 FINAL

Fig. for Q.67 Fig. for Q.68

The lattice circuit has the following impedances , . Then the Z- parameters would be – (a) ( ) (b) ( ) (c) ( ) (d) ( )

Q.68 In the circuit shown, the initial voltage across the capacitor is 2 V and I is a unit step current source. Then the voltage across the capacitor for is (a) ( ) ( ) (b) ( ) ( ) (c) ( ) ( ) (d) ( ) ( ) Q.69 A circuit is modelled by the following differential equation:

( ) ( ) ( )

The response ( ) is of the form (with symbols having their standard meanings)

(a) (b) ( ) (c) ( ) (d) ( )

Q.70 The capacitor in the circuit as shown below is initially charged to 12 V with and open, is closed at while is closed at . The waveform of the capacitor is represented by

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Q.71 A 10 mH inductor cariies a sinusoidal current of 1 A r.m.s. at a frequency of 50 Hz. The average power dissipated by the inductor is (a) 0 W (b) 0.25 W (c) 0.5 W (d) 1.0 W Q.72 In a network made up of linear resistors and ideal voltage sources, values of all resistors are doubled. Then the voltage across each resistor is (a) Doubled (b) Halved (c) Decreases four times (d) Not changed

Q.73 The incandescent bulbs rated respectively as and for operation at a specified mains voltage are connected in series across the mains as shown in the above figure. Then the total power supplied by the mains to the two bulbs are

Fig. for Q.73 Fig. for Q.74

(a) (b) √ (c) ( ) (d) √

Q.74 Consider the circuit as shown below which has a current dependent current source. The value is

(a) 1 (b) 2 (c) (d)

Q.75 A certain network consists of a large number of ideal linear resistances. One of which is designated as R and two constant ideal sources. The power consumed by R is when only the first source is active, and when only the second source is active. If both sources are active simultaneously, then the power consumed by R is

(a) (b) √ √ (c) (√ √ ) (d) ( ) IES – 2004(EE) Q.76 Consider the following circuit: FINAL

Which one of the following statements is correct? The circuit shown above is (a) Passive and linear (b) Active and linear (c) Passive and non linear (d) Active and non linear Q.77 Consider the following circuit

In the above circuit, when What is the value of I when ? (a) 5.5 A (b) 10 A (c) 15 A (d) 20 A Q.78 Three parallel resistive branches are connected across a, d c supply. What will be the ratio of the branch currents if the branch resistances are in the ratio (a) 3 : 2 : 6 (b) 2 : 4 : 6 (c) 6 : 3 : 2 (d) 6 : 2 : 4 Q.79 Consider the following circuit:

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What is the value of current I in the 5Ω resistor in the above circuit? (a) 0 A (b) 2 A (c) 3 A (d) 4 A Q.80 A voltage source having an internal impedance of ohms supplies power to a resistive load. What should be load resistance for maximum power transferred to it?

(a) 8 ohms (b) 6 ohms (c) 10 ohms (d) √ ohms Q.81 Consider the circuits A and B given below.

For what values respectively of I and R, the circuit B is equivalent to circuit A? (a) 3 A, 40Ω (b) 4 A, 24 Ω (c) 1 A, 60 Ω (d) 2 A, 100 Ω Q.82 Consider the following circuit:

What is the value of the current I in the above circuit? (a) 1 A (b) 2 A (c) 3 A (d) 4 A Q.83 Consider the following circuit:

What should be the value of resistance R, in the above circuit if it has to absorb the maximum power from the source? FINAL (a) 8/3 ohms (b) 3/8 ohms (c) 4 ohms (d) 8 ohms Q.84 The transfer function of a system

( ) ( ) . The system is at rest for . What will be the value of ( ) for , if ( ) ( ), ( ) where ( ) is a unit step? (a) (b) (c) (d) Q.85 Consider the following circuit:

For the circuit shown above, by how much the voltage across the inductor leads the voltage across the capacitor? (a) (b) (c) (d) Q.86 Consider the following circuit:

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The circuit shown above is in steady state before closing the switch. What is the current ( ) through the switch if the circuit is closed at ? (a) -4 A (b) 0 A (c) 4 A (d) 12 A Q.87 Consider the following circuit

The circuit shown above attains a steady state with the switch S closed. What is the value of ( ) for . If the switch S is opened at ? (a) (b) (c) (d) Q.88 Consider the following diagram:

Which one of the following gives Laplace transform of the wavelength ( ) shown in the above diagram? (a) , - (c) , - (b) , - (d) , - Q.89 Consider the following pole – zero diagram of a system function ( ) ( ) ( ).

What will be the magnitude of the voltage phasor for ( ) (a) 3/2 (b) 1 (c) 2/3 (d) 1/3 Q.90 A balanced delta connected load has an impedance of ohms per phase. What is the impedance per phase of its equivalent star? FINAL (a) (b) (c) (d)

Q.91 For a parallel RLC circuit, the damped frequency is √ and bandwidth is 2 r/s. What is the resonant frequency?

(a) 2 (b) √ (c) √ (d) 3 Q.92 Consider the following circuit :

In the above circuit ( ) as and ( ) as , What are, respectively the values of and ? (a) (b) 4 (c) 3 (d) 6 Q.93 Consider the following circuit:

For the above circuit the current source is sinusoidal with frequency equal to the resonant frequency of the circuit. What is the value of current through the resistor? (a) 0 (b) 0.1 I (c) I (d) 10 I

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Q.94 In an a.c. series RLC circuit, the voltage across R and L is 20 V, voltage across L and C is 9 V and C is 9 V and voltage across RLC is 15 V. What is the voltage across C? (a) 7 V (b) 12 V (c) 16 V (d) 21 V Q.95 Consider the following circuit.

What is the short circuit natural frequency at port 1 of the above circuit? (a) (b) (c) (d) Q.96 Two resistors of equal value are connected in series across the lines B and C of a symmetrical 3-phase 400-V system. What is the magnitude of the voltage between the line A and the junction of the resistors?

(a) 400/√ (b) √ (c) (d) √ Q.97 Two identical T-sections, such as one shown below are connected in series.

What is the of the combination?

(a) (b) (c) (d)

Q.98 The realization of the driving point impedance function ( ) ( ) ( ) is shown in the circuit given below:

What are respectively the values of and ? (a) 5, 2 (b) 2, 5 (c) 2, 3 (d) 2, 1 Q.99 Impedance ( ) ,( ) ( )- ,( )( )- is realized in the Foster‟s second form. What will be the values, respectively of R and L in one of the series R-L branches? FINAL (a) (b) (c) (d)

Q.100 Assertion (A): If Thevenin‟s equivalent of a circuit is known, its Norton equivalent is also known. Reason (R): Norton‟s equivalent is reciprocal of Thevenin‟s equivalent. (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is NOT the correct explanation of A (c) A is true but R is false (d) A is false but R is true IES – 2005(EE) Q.101 In the circuit given below, the steady state is attained with S open. S is closed at , What is the value of current I at ?

(a) 2 A (b) 2.25 A (c) 3 A (d) 4 A Q.102 For the a.c. circuit given below, what is the value of I?

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(a) (b) (c) (d) Q.103 Match List I (Property of Network) with List II (Relevant Theorem) and select the correct answer using the code given below the lists: List I List II A. Linearity 1. Superposition Theorem B. Structure 2. Norton‟s Theorem C. Equivalent circuit 3. Tellengen‟s Theorem D. Bilateral 4. Millman‟s Theorem Codes: A B C D a) 2 4 1 3 b) 1 3 2 4 c) 2 3 1 4 d) 1 4 2 3

Q.104 In the circuit given below, I = 1 A for . What is the value of I for ?

(a) 7 A (b) 4 A (c) 3 A (d) 2 A Q.105 The black box, N contains resistors and independent sources. If and 1.5 A for R = 0 and 2Ω, respectively, then what is the value of I for R = 1Ω?

(a) 1 A (b) 2 A (c) 3 A (d) 4 A

Q.106 For the circuit shown below, the value of R is adjusted, so as to make the current in equal to zero. What is the value of R? FINAL

(a) 1Ω (b) 2 Ω (c) 3 Ω (d) 4 Ω

Q.107 For the circuit shown below, what is the voltage across the current source ?

(a) 0 (b) 2 V (c) 3 V (d) 6 V Q.108 In an RLC series circuit, if the resistance R and the inductance L are kept constant but capacitance C is decreased, then which one of the following statements is/are correct? 1. Time constant of the circuit is charged. 2. Damping ratio decreases. 3. Natural frequency increases. 4. Maximum overshoot is unaffected. (a) 1 and 2 (b) 2 only (c) 2 and 3 (d) 3 and 4 Q.109 For the given list of driving point impedance functions, which one can be realised using R and C elements only

( ) ( )( ) ( ) ( ) ( ) ( ) ( ) ( ) ( )( ) ( ) ( ) ( )( )

(a) ( ) (b) ( ) (c) ( ) (d) ( )

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Q.110 For the 2-port network shown in the figure given below, what is the value of the parameter ?

(a) 1.5 (b) -0.4 (c) 0.6 (d) -0.5 Q.111 A 3-phase delta connected symmetrical load consumes P watt of power from a balanced supply. If the same load is connected in star to the same supply, then what is the power consumption?

(a) (b) P (c) √ (d) 3 P Q.112 A network has a zero at and poles at , the multiplier being unity. If the input is unit step function, then what is the steady state response? (a) (b) (c) (d) Q.113 What are the poles and zeroes of Z(s) of the below network?

(a) (b) (c) (d) Q.114 A unit impulse voltage is applied at to the R-L circuit shown below while ( ) . What is the expression for ( )?

(a) (b) (c) (d) Q.115 A circuit has two parallel branches. In one branch. R and L are connected in series while in the other, R and C are connected in series. If √ , which one of the following is not correct? a) The circuit is in resonance b) The two branch currents are in quadrature c) The circuit has an impedance independent of its frequency d) The two branch currents are in phase FINAL Q.116 Which one of the following gives the correct short circuit parameter matrix Y for the network shown below?

(a) 0 1 (b) 0 1 (c) 0 1 (d) 0 1

Q.117 For the two port network shown below, what is the voltage transfer function ( ) ( )?

(a) ( ) (b) ( ) (c) ( ) (d) ( ) Q.118 For a series RLC resonant circuit, what is the total reactance at the lower half power frequency?

(a) √ (b) √ (c) R (D) – R Q.119 The current behavior in a circuit is expressed by ( ) for . Which one of the following figures shows the pole zero pattern of ( )?

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Q.120 For the circuit shown below, the poles of the driving point impedance function are at which one of the following locations?

(a) A pole at (c) A double pole at (b) A pole at (d) Poles at and IES – 2006(EE) Q.121 In the network shown below, what is the current I in the direction shown?

(a) 0 (b) 1/3 A (c) 5/6 A (d) 4 A Q.122 Match List I (Term) with List II (Concept) and select the correct answer using the code given below the lists: List I List II A. Norton equivalent of one port 1. Network where loop and node equations have a symmetric coefficient matrix B. Open circuit output admittance 2. Hybrid parameter C. Reciprocal network 3. Parameters where and are expressed as functions of and D. Transmission parameters 4. Current source in parallel with Thevenin impedance Codes: A B C D a) 1 3 4 2 b) 4 2 1 3 c) 1 2 4 3 FINAL d) 4 3 1 2 Q.123 In the circuit shown in the figure below, for what value of C will the current I be in phase with the sinusoidal source voltage ?

(a) (b) (c) (d) 1 F √

Q.124 In the circuit shown in the figure below. If ( ) , then what are the initial and steady state voltages across the capacitor?

(a) 1 V and 1 V, respectively (c) 0 and 1 V, respectively (b) 1 V and 0, respectively (d) 0 and 0, respectively Q.125 In the circuit shown below, the constant current source of value I is switched on at . What are the values of currents and at , with zero initial conditions?

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a) I 0 b) 0 I

d) 0 Q.126 In the circuit shown in the figure given below, the switch is opened at after having been closed for a long time. What is the current through 50Ω resistor?

(a) (b) (c) (d) Q.127 At , the switch k is thrown from b to a of the circuit as shown below. What are the values of ( ) and ( ) ?

(a) 50 V, 90 mA (b) 50 V, 100 mA (c) 50 V, 110 mA (d) 50 V, 120 mA Q.128 An R-C series circuit, initially at rest has a step voltage signal. The response ( ) across C is ( ) . If now there is an initial voltage at C of 3 volts, what is ( ) for the same step signal? (a) (b) (c) (d) None of these

Q.129 In the circuit shown in the below figure, ( ) √ ( ) and ( ) √ ( ). What is the voltage ( ) across the 1 grounded resistor? FINAL

(a) * + (c) * + (b) * ( ) ( )+ (d) * + Q.130 For the network shown as below, when I = 0, V = 20 V and when R = 0, I = 10 A. If now R = 3Ω, what is the value of the current I?

(a) 6.67 A (b) 6.0 A (c) 4.0 A (d) 10 A

Q.131 Norton equivalent to the network N to the left of AB is current source form B to A, . The current through R when it is connected across AB = 2 A. What is the value of resistance R?

(a) 1 Ω (b) 2 Ω (c) 3 Ω (d) 4 Ω Q.132 In a series R-L-C circuit, the maximum voltage across the capacitor occurs at a frequency (a) Double the resonant frequency (b) Equal to resonant frequency (c) √ times the resonant frequency (d) Below the resonant frequency

Q.133 In the circuit shown below, what is the voltage across 5 Ω resistor? ( ) Electronics/Electrical Engineering

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(a) -30 V (b) 30 V (c) 1250 V (d) -1250 V Q.134 Consider the following network functions

( )( ) ( )( ) ( ) ( ) 1. 2. 3. 4. ( )( ) ( ) ( )( ) ( ) Which of the above functions can represent L-C driving point immittances? (a) Only 1 and 2 (b) Only 2 and 3 (c) Only 2 and 4 (d) Only 1 and 3 Q.135 A series R-L-C circuit, excited by a 100 V, variable frequency source has a resistance of 10Ω and an inductive reactance of 50 Ω at 100 Hz. If the resonance frequency is 500 Hz, what is the voltage across the capacitor at resonance? (a) 100 V (b) 500 V (c) 2500 V (d) 5000 V Q.136 What is the transfer function of a system whose impulse response is ?

(a) (b) (c) (d)

Q.137 Consider the following statement in connection with the properties of R-C impedance functions: 1. All the poles and zeros are simple. 2. Poles and zeros interlace. 3. Poles and zeros are located on the negative real axis of the s-plane. Which of the statements given above are correct? (a) 1, 2 and 3 (b) Only 1 and 2 (c) Only 2 and 3 (d) Only 1 and 3

( )( ) Q.138 ( ) may be synthesized into Cauer first form as ( )

Q.139 If the driving point impedances of the network shown in the figure below is given by FINAL

. /

Then what is the driving point impedances ?

(a) . / (b) . / (c) . / (d) . /

( and are scale factors) IES - 2007 Q.140 Assertion (A): A four terminal passive liner network will always have an equivalent T-network. Reason (R): The Thevenin‟s theorem is applicable in cases of transfer functions also. Codes: (a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is not the correct explanation of A (c) A is true but R is false (d) A is false but R is true Q.141 What is the driving point operational impedance of the network below?

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( ) ( ) ( ) (a) (b) (c) (d) ( ) ( ) ( ) ( )

Q.142 If ( ) for the circuit shown below, then what is the value of ?

(a) (b) (c) (d)

Q.143 For the circuit shown below, what is the value of I?

(a) 10 A (b) 6 A (c) 3.7 A (d) 3 A

Q.144 For the network shown in the figure given below, ( ) and ( ) . What are the values of and respectively?

(a) 2 (b) 3 (c) 1 (d) 2 Q.145 Consider the circuit in the below figure. What is the power delivered by the 24 V source?

FINAL

(a) 96 W (b) 144 W (c) 192 W (d) 288 W Q.146 Steady state is reached with S open. S is closed at . What is the value of the current I at ?

(a) 1 A (b) 2 A (c) 3 A (d) 4 A Q.147 Consider the following statements on mesh and nodal analysis: 1. Networks that contain many series connected elements, voltage source or meshes having common current sources (super meshes) are more suitable for mesh analysis than for nodal analysis. 2. Networks with parallel connected elements, current source or nodes connected by voltage source are more suitable for nodal analysis than mesh analysis. 3. A circuit with fewer nodes than meshes is better analyzed using mesh analysis, while a circuit with fewer meshes, than nodes is better analyzed using nodal analysis. Which of the statements given above are correct? (a) 1 and 2 (b) 2 and 3 (c) 1 and 3 (d) 1, 2 and 3 Q.148 The incidence matrix A of a connected graph is given below:

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The following statements are associated with the above matrix: 1. Branches 2, 3 are in series. 2. Branches 4, 5 are in series. 3. Voltages of branches 4, 5 and 6 form an independent set. Which of the statements given above is/are correct? (a) 1 only (b) 2 only (c) 1 and 3 (d) 1, 2 and 3 Q.149 The circuit in the figure given below is in steady state with switch S open. The switch is closed at . What

are the values of ( ) and ( ), respectively?

(a) 0 V, 0 V (b) 0 V, 2 V (c) 2 V, 0 V (d) 2 V, 2 V Q.150 In the below network, S is closed for a long till steady state is attained. S is opened at . What are the values of voltage V at and ?

(a) 8 V, 8 V (b) 4 V, 8 V (c) 8 V, 4 V (d) 4 V, 4 V Q.151 An impedance function has poles and zeros as follows: Poles -1 -3 FINAL Zeros -2, -4 And impedance has its value ( ) . Then which one of the following expresses Z(s)?

( ) ( ) ( ) ( ) (a) (b) (c) (d) ( ) ( ) ( ) ( ) Q.152 Consider the following statements: If a high Q parallel resonant circuit is loaded, then 1. The circuit impedance reduces. 2. The resonant frequency reduces. 3. The bandwidth reduces. Which of the statements given above is/are correct? (a) 1 and 2 (b) 1 only (c) 2 and 3 (d) 1, 2 and 3 Q.153 For a series RLC resonant circuit, which one of the following gives the impedances at the lower and upper half power frequencies, respectively?

(a) √ √ (b) . / . / √ √ (c) (d) √ √ Q.154 When is a series RLC circuit over damped?

(a) (b) (c) (d)

Q.155 A 3-phase 3 – wire supply feeds a star connected load consisting of 3 equal resistors. If one of the resistors is to be removed, then what is the reduction in power as compared to the original power? (a) 25% of the original power (c) 50% of the original power (b) 33.3% of the original power (d) 66.6% of the original power

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Q.156 The driving point impedance, Z(s) of an RC network is given by

( ) 0 1 ( ) If it is realized in the first foster form, then what shall be the first and the last elements? First element Last element (a) Resistance Capacitance (b) Capacitance Resistance (c) Resistance Resistance (d) Capacitance Capacitance Q.157 The pole zero diagram of an impedance Z(s) is shown in the below figure. K = 1

Poles ( ) are at and √ and zero (O) is at . √

For a signal the steady state response across Z(s) is ( ). What is the value of ? (a) (b) (c) (d) IES – 2008(EE) Q.158 In a two element series network, the voltage and current respectively are given as, ( ) ( ) ( ) ( ) ( ) ( ) then the power factor of the network is approximately. (a) 0.9 (b) 0.6 (c) 0.3 (d) 0.1 Q.159 A capacitor is fed from an a.c. voltage source containing a fundamental and a third harmonic of strength one third of fundamental. The third harmonic current flowing through the capacitor expressed as percentage of the fundamental under steady state condition will be (a) 150% (b) 100% (c) 50% (d) 33% Q.160 According to maximum power transfer theorem, when is the maximum power absorbed by one network from another network? a) The impedance of one of the network is half that of the outer. b) The impedance of one is the complex conjugate of the other c) The impedance of one is equal to that of the otherFINAL d) Only the resistive parts of both are equal Q.161 For the circuit shown below, the black box contains resistors and independent sources only. The current I is 3 A and 1.5 A for R = 0 and 2 , respectively. For R = 1 , what is the current?

(a) 1 A (b) 2 A (c) 3 A (d) 4 A Q.162 What is the time constant of the circuit below?

(a) 0.5 s (b) 1 s (c) 2 s (d) 4 s

Q.163 In the network shown below, it is given that V and at a time , where t is the time after the

switch S is closed. What is the value of C?

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(a) 0.05 F (b) 0.1 F (c) 0.15 F (d) 0.2 F

Q.164 A series R-L circuit is to be connected to an a.c. source ( ) ( ) volt. Which one of the following is correct? The transient current will be absent if the source is connected at a time such that

(a) (b) (c) (d) has any arbitrary value

Q.165 A series R-L-C circuit is switched on to a step voltage V at t = 0. What are the initial and final values of the current in the circuit, respectively? (a) V/R, V/R (b) Zero, infinity (c) Zero, Zero (d) Zero, V/R Q.166 A lossy capacitor is represented by an ideal capacitor C with a high resistance R in parallel. What is the Q of the circuit at frequency ? (a) (b) ( ) (c) (d) ( ) Q.167 A voltage of is applied to an impedance . Which one of the following is the power triangle?

Q.168 For the network shown below, if the current ( ) √ ( ) then what is the value of R?

(a) 1 (b) 3 (c) √ (d) √ Q.169 A, B, C and D represent the transmission parameters of a two port network. When is the network reciprocal? (a) AB – CD = 1 (b) AD – BC = 1 FINAL(c) AB – CD = 0 (d) AD – BC = 0 Q.170 Match List I (Network parameter) with List II (Dimension) and select the correct answer using the code given below the lists: List I List II

A. 1. Impedance B. 2. Admittance C. 3. Current ratio D. 4. Voltage ratio Codes: A B C D a) 2 4 1 3 b) 2 3 1 4 c) 1 3 2 4 d) 1 4 2 3 Q.171 In the circuit shown below, what is the value of the current I?

(a) 1 A (b) 2 A (c) 3 A (d) 4 A

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Q.172 If the voltage V across 10 resistance is 10 V, what is the voltage E of the voltage source in the circuit shown below?

(a) -50 V (b) -10 V (c) +10 V (d) +50 V Q.173 What is the value of the current I in the circuit shown below?

(a) 20 A (b) 25 A (c) 30 A (d) 36 A Q.174 For the network shown in the figure below, what is the voltage across the current source I?

(a) V – RI (b) V + RI (c) Zero (d) RI – V Q.175 Voltage source is represented as shown in the figure given below. FINAL

What is the equivalent current source?

Q.176 For the circuit shown, what is the voltage V if the source voltage is reduced by 50%?

(a) IR + E (b) E – IR (c) 2IR – (E/2) (d) (E/2 – IR) Q.177 In the circuit shown below, when is the power absorbed by the 1 resistor maximum?

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(a) R = 0 (b) R = 2 (c) R = 4 (d) R = Q.178 Two coils are coupled in such a way that the mutual inductances between them is 16 mH. if the inductances of the coils are 20 mH and 80 mH respectively, the coefficient of coupling is (a) 0.01 (b) 0.4 (c) 0.1 (d) 0.0025 Q.179 Which one of the following is correct? The impedance function

( )( ) ( ) is an ( ) (a) LC driving point function (c) RC driving point function (b) RL driving point function (d) RLC driving point function Q.180 The network function.

( ) ( ) represents an ( )( ) (a) RL impedance only (c) RL admittance and RC impedance (b) RC impedance only (d) RC admittance and RL impedance IES – 2009(EE) Q.181 Consider the following with respect to the circuit as shown below

1. √ 2. | | 3. Which of the above statements is/are correct? FINAL (a) 1 only (b) 2 and 3 (c) 1 and 3 (d) 1 and 2

( ) Q.182 A network function ( ) has a single pole at and a single zero √ . If the excitation ( ) √ ( ) , then what is the angle of lead or lag of the current? (a) Lead the voltage by (c) Lead the voltage by (b) Lag the voltage by (d) Lag the voltage by Q.183 If the current flowing through a 20 ohm resistor is given as, ( ) then what is the power consumed by the resistor? (a) 1000 W (b) 660 W (c) 500 W (d) 180 W

Q.184 For the below given circuit, if supply frequency, and volts, then what is the lead angle of with ?

(a) (b) (c) (d) Q.185 A human nerve cell has an open circuit voltage of 80 mV and it can deliver a current of 5 nA through a 6 M ohm load. What is the maximum power available from the cell? (a) 0.16 nW (b) 16 mW (c) 1.6 W (d) 16 pW Q.186 The poles and zeroes of a driving point impedance function, z(s) are as

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Poles 0, -2 Zeroes -1, -3 and ( ) then what is z(s)?

( ) ( ) ( ) ( ) (a) (b) (c) (d) ( ) ( ) ( ) ( ) Q.187 Consider the following driving point immittance functions:

( ) 1. ( ) ( )( ) ( ) 2. ( ) ( ) ( )( ) 3. ( ) ( )( ) ( )( ) 4. ( ) ( ) Which of these are LC immittance functions? (a) 1 and 2 (b) 3 and 4 (c) 2 and 3 (d) 4 only

Q.188 For the z-port network as shown below, what is the value of parameter?

(a) (b) (c) (d)

( ) Q.189 For the below shown network, the functions ( ) is when R is 2 ohm. What is the value of L and ( ) C?

(a) 0.3 H and 1 F (b) 0.4 H and 0.5 F (c) 0.5 H and 0.1 F (d) 0.5 H and 0.01 F Q.190 Consider the following with respect to the below circuit: FINAL

1. The transfer function of the circuit is .

2. If ( ) ( ) ( ) 3. If ( ) .

( ) ( )( ) Which of these is/are correct? (a) 1 only (b) 1 and 2 (c) 1, 2 and 3 (d) 2 only Q.191 What is the current through the 2 resistance for the circuit as shown below?

(a) 5 A (b) 4 A (c) 3 A (d) 2 A Q.192 For the circuit as shown below, what are the values of the Norton‟s equivalent current and conductance between AB terminals?

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(a) and (c) and

(b) and (d) and

Q.193 For the circuit as shown in the fig. (a) the current through the ammeter is Amps. What is the current in the ammeter for the circuit in Fig. (b)?

(a) (b) Amps (c) (d) Amps Q.194 What is the voltage across the current source for the below shown circuit?

(a) 5.0 V (b) 7.5 V (c) 12.5 V (d) 17.5 V Q.195 What is the value of I for the below shown circuit, if V = 2 volts?

(a) 2 A (b) 4 A (c) 6 A (d) 8 A Q.196 In the below shown circuit, if V = 3 volts for E = 1 volt, I = 0, and V = 2 volts for I = 2 A and E = 0. When E = 1 volt and I is replaced by a resistor of 2 ohm, then whatFINAL is the value of V?

(a) 2 volts (b) 4 volts (c) 6 volts (d) 8 volts Q.197 The network shown below is initially at rest. What is the initial current I when the switch S is closed at ?

(a) 0 A (b) 5 A (c) 10 A (d) 20 A

Q.198 The current as shown below is in the steady state. The switch S is closed at . What are the values of v and

at ?

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(a) 0 and 4 (b) 4 and 0 (c) 2 and 0 (d) 0 and 2 Q.199 The current waveform as shown below, is applied in a pure resistor of 10 . What is the power dissipated in the resistor?

(a) 270 W (b) 135 W (c) 52 W (d) 7 W Q.200 The switch of below circuit was open for long, and at it is closed. What is the final steady state voltage across the capacitor and the time constant of the circuit?

(a) 0 V and 0.1 sec (b) 20 V and 0.2 sec (c) 10 V and 0.2 sec (d) 10 V and 0.1 sec Q.201 The poles and zeroes of an all pass network are located in which part of the s-plane? a) Poles and zeroes are in the right half of s-plane b) Poles and zeroes are in the left half of s-plane c) Poles in the right half and zeroes in the left half of s-plane d) Poles in the left half and zeroes in the right half of s-plane Q.202 In an RLC series resonant circuit, if the maximum stored energy is increased by 10% and at the same time the energy increased by 10% and at the same time the energy dissipated per cycle is reduced by 10%, it will result in which one of the following? (a) An 11% decrease in quality factor (c) A 22% increase in quality factor (b) An increase in the resonant frequency by 11% (d) A decrease in the resonant frequency by 22%

Q.203 Why is the network function, ( ) not positive real?

(a) The highest degree of numerator and denominator polynomials differ by one (b) The terms of the lowest degree in the numerator and denominator polynomials differ in degree by one (c) The poles and zeroes have zero real parts (d) It has multiple poles on the imaginary axis FINAL( ) Q.204 The network realization of RC impedance function, ( ) is as shown below. What are the values of ( ) and ?

(a) 1 and 2 (b) 2 and 1 (c) 2 and 3 (d) 3 and 2

Q.205 If the z-parameters for the T-network as shown below are and , then what are the values of and ?

(a) 10 and 30 (c) 30 and 10 (b) 20 and 20 (d) 40 and 10 Q.206 Assertion (A): A capacitor has one pole at infinity and one zero at s = 0, where , is the angular frequency.

Reason (R): The driving point impedance of a capacitor is .

(a) Both A and R are true and R is the correct explanation of A (b) Both A and R are true but R is not the correct explanation of A (c) A is true but R is false

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(d) A is false but R is true Q.207 For the circuit as shown below, if the current leads the applied voltage by , what is the resistance value in ohm?

(a) 0.5 (b) 1.0 (c) 2.0 (d) 9.5 Q.208 Consider the following equations with respect to the below network:

( ) 1. ( ) ( ) ( )

( ) 2. ( ) ( ) ( )

( ) 3. ( ) ( )

( ) 4. ( ) ( )

Which of the above statements is/are correct? (a) 1 only (b) 2, 3 and 4 (c) 1, 3 and 4 (d) 1, 2 and 4 Q.209 Find the voltage of the node A with respect to „O‟ for the circuit as shown in below.

(a) 40 V (b) 20 V FINAL(c) 50 V (d) 60 V Q.210 For the AC circuit as shown below, if the rms voltage across the resistor is 120 V, what is the value of the inductor?

(a) 0.5 H (b) 0.6 H (c) 1.0 H (d) 1.5 H Q.211 Consider the following statements: 1. Amplifier gain and phase shift. 2. Filter transfer functions. 3. Two port network parameters. 4. Power gain in a two port circuit. Which of the above quantities can be measured using a vector voltmeter? (a) 1 and 3 only (b) 1, 2 and 4 (c) 1, 2 and 3 (d) 3 and 4 Q.212 Replace the below shown circuit by a single voltage source in series with an impedance.

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(a) 2V, (b) 1 V, 3 (c) 3 V, 1 (d) 2 V, 3

Q.213 For the circuit as shown below, if and I is removed, then V = 5 volts. If E = 0 and I = 1 A, then V = 5 volts. For and I replaced by a resistor of 5 , what is the value of V in volts?

(a) 5.0 (b) 2.5 (c) 7.5 (d) 3.5 Q.214 For the circuit as shown below, what is the value of I?

(a) 4 A (b) 3 A (c) 2 A (d) 1 A

Q.215 In the below shown circuit, under what conditions the output will be proportional to (with T = time period

of input)

(a) RC = T (b) RC >> T (c) RC << T (d) Both R and C large IES – 2010(EE) FINAL

Q.216 For the driving point impedance function, ( ) , the circuit realization is shown below. The values of

„a‟ and „b‟ respectively are

(a) 4 and 5 (b) 2 and 5 (c) 2 and 1 (d) 2 and 3 Q.217 For the following driving point impedance functions. Which of the following statements is true?

( )( ) ( ) ( ) ( ) ( ) ( )( )

(a) is not positive real (c) is positive real (b) is not positive real (d) is positive real Q.218 A reactance network in the Foster‟s I form has poles at ( ) and (infinity). The element in box-1 in the above network is

(a) A capacitor (b) An inductor (c) A parallel LC circuit (d) A series LC circuit

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Q.219 For the circuit shown above, the natural frequencies at port 2 are given by and , without knowing which refers to open circuit and which to short – circuit. Then the impedances and are given respectively by

(a) (b) (c) (d)

Q.220 A two port network is defined by the relation :

The value of is (a) 3 (b) -3 (c) 3/41 (d) 2/31 Q.221 The Y-parameters of the network shown above are

(a) 0 1 (b) 0 1 (c) 0 1 (d) 0 1

Q.222 A balanced RYB sequence, Y-connected (Star connected) source with is connected to a (Delta connected) balanced load of ( ) ohms per phase. Then the phase current and line current values respectively, are

(a) (b) √ (c) (d) √ √ Q.223 A two port network is described by the following equations:

Then, which one of the following is not correct? FINAL

(a) (b) (c) (d)

Q.224 The system matrix of a continuous time system is given by 0 1. Then the characteristic equation is

(a) (b) (c) (d) Q.225 Consider the following statements the transfer impedances of a 2-port network remain constant when the position of excitation and response are interchanged if the network 1. is linear 2. Contains bilateral elements 3. has high impedance 4. Is resonant. Which of these statements is/are correct? (a) 1 and 2 only (b) 1, 3 and 4 only (c) 2 only (d) 1, 2, 3 and 4 Q.226 For a parallel RLC circuit, if , and , the bandwidth and quality factor are respectively (a) 20 rad/s, 0.05 (b) 10 rad/s, 20 (c) 20 rad/s, 10 (d) 0.05 rad/s, 20 Q.227 If a series RLC circuit resonates at 1.5 kHz and consumes 100 watts from a 100 volts AC source operating at resonant frequency with a bandwidth of 0.75 kHz; the values of R, L and Q factor of the circuit are respectively

(a) (b) (c) (d)

Q.228 The resonant frequency of an RLC series circuit is 1.5 MHz with the resonating capacitor of 150 pF. The bandwidth is 10 kHz. The effective value of the resistor is (a) (b) 9.5 (c) 7.4 (d) 4.7

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Q.229 For the circuit shown above, the two natural frequencies of the driving point impedance ( ) are given by and . It is not known, which is for open circuit and which is for short circuit. Then Z(s) is given by

( ) ( ) ( ) ( ) (a) (b) (c) (d) ( ) ( ) ( ) ( ) Q.230 For the circuit shown in figure below, the values of ( ) as and are respectively given by

(a) (b) (c) (d)

Q.231 If the initial voltage across the capacitor of 2 Farad is ( ) , the voltage and charge on the capacitor at sec after connecting a current source at are respectively (a) 2 V, 4 coulomb (b) -2 V, 4 coulomb (c) 4 V, 8 coulomb (d) 8 V, 4 coulomb Q.232 Consider the following statements A step voltage is applied to an under damped series RLC circuit in which R is variable, if R is 1. Increased, the steady state voltage across C will be reduced. 2. Increased, the frequency of transient oscillations across C will be reduced. 3. Reduced, the transient oscillations will die down at a fast rate. 4. Reduced to zero, the peak amplitude of the voltage across C will be double that of input voltage Which of these statements is/are correct? (a) 2 only (b) 4 only (c) 2 and 4 only (d) 1, 2, 3 and 4 Q.233 For the circuit shown in figure below, the switch has been in position A for a long time. At , the switch is moved to B. Then, the capacitor voltage ( ) for is FINAL

(a) ( ) ( ) (c) ( ) ( )

(b) ( ) ( ) (d) ( ) ( ) Q.234 For a series RLC circuit energized with a sinusoidal voltage source of frequency 4 rad/s, the applied voltage lags the current by an angle of degree. Then the value of R for L = 1 H and C = 0.05 F is (a) 4.0 ohm (b) 2.0 ohm (c) 1.0 ohm (d) 0.5 ohm Q.235 For the given circuit shown in the figure below, the initial inductor current and the voltage across the capacitor are zero and 2, respectively. When the switch S is closed at , the values of v and are, respectively

(a) 2, -4 (b) 0, 0.25 (c) 0, -0.5 (d) 2, 0 Q.236 For an a.c. circuit, if ( ) ( ) and ( ) ( ) the reactive power absorbed by the circuit is (a) 100 VARs (b) 200 VARs (c) 300 VARs (d) 400 VARs

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Q.237 For the circuit shown in the figure below, the voltage across the 1 ohm resistor is given by

(a) 7 V/4 (b) 5 V/4 (c) 7 V/3 (d) 2 V/3

Q.238 A load is connected to an active network. At the terminals to which the load is connected, and . Then the maximum power supplied to the load is (a) 360 W (b) 90 W (c) 60 W (d) 10 W Q.239 Applying Norton‟s Theorem, the Norton‟s equivalent circuit to the left of the terminals a and b in the below circuit is having equivalent current source ( ) and equivalent resistance ( ) as

(a) (c) (b) (d)

Q.240 The maximum power that can be transferred in the load in the below circuit is

(a) 12.25 W (b) 62.5 W (c) 24.5 W (d) 500 W Q.241 The Thevenin‟s equivalent of the circuit shown in the figure below is FINAL

(a) 0.75 V, 1.5 (b) 1.5 V, 1.5 (c) 1.5 V, 0.75 (d) 5.0 V, 1.5 Q.242 For the circuit shown in the figure below. I is

(a) 0 A (b) 1 A (c) 2 A (d) 3 A

Q.243 The currents and in the below circuit are respectively

(a) 4 A, 4 A (b) 3 A; 5 A (c) 2 A ; 6 A (d) 6 A; 2A

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Q.244 The currents and in the below circuit are respectively

(a) 1.818 A; -0.4545 A (c) (b) 2.451 A, -1.568 A (d) 1.56 A; -2.45 A Q.245 If the power dissipated in the circuit shown below is 8W, then the value of E will be

(a) 2 V (b) 4 V (c) 8 V (d) 16 V

Q.246 The currents and in the below circuit are respectively

(a) 5 A; 10 V (b) 10 A; 20 V (c) 6 A; 12 V (d) 4 A; 8 V Q.247 For the circuit shown in figure below, the value of current, I is

FINAL

(a) 2 A (b) 3 A (c) 6 A (d) 12 A IES – 2011(EE) Q.248 Three parallel branches of resistance are connected across a d.c. source as shown in the figure. What is ?

(a) 3 : 2 : 6 (b) 2 : 4 : 6 (c) 6 : 3 : 2 (d) 6 : 2 : 4

Q.249 In the circuit shown, the current is

(a) 4 A (b) 2 A (c) 4.76 A (d) 20 A

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Q.250 The following are the results of tests conducted on the below star – connected load:

The resistance between B and C with A open : 22Ω The resistance between C and A with B open : 18Ω

The individual resistance of , and are respectively, (a) 8Ω, 14 Ω, and 4 Ω (c) 4 Ω, 8 Ω and 14 Ω (b) 10 Ω, 2 Ω and 8 Ω (d) 6 Ω, 6 Ω and 8 Ω

Q.251 When KCL is applied at the super node in the below circuit, the current equation in terms of node voltages and is

(a) (b) (c) (d)

Q.252 The node voltage V in the circuit is

FINAL (a) 6 V (b) 30 V (c) 36 V (d) 92 V Q.253 Match List I with List II and select the correct answer using the code given below the lists: List I List II A. Equivalent circuit 1. Sueprposition B. Linearity 2. Norton‟s C. Bilateral 3. Tellegen‟s D. Structure 4. Reciprocity Codes: A B C D a) 3 1 4 2 b) 2 1 4 3 c) 3 4 1 2 d) 2 4 1 3 Q.254 The Norton equivalent between A and B for the circuit is

Fig. for Q.254 Fig. for Q.255 (a) 2 A and 2.5 Ω (b) 0.5 A and 1 Ω (c) 1 A and 2 Ω (d) 0.4 A and 2 Ω

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Q.255 The voltage across the 2 Ω resistance in the circuit is (a) 16 V (b) 60 V (c) 18 V (d) 10 V

Q.256 Thevenin equivalent circuit to the left of the terminals a and b in the circuit, has equivalent voltage source and equivalent resistance , respectively, as

Fig. for Q.256 Fig. for Q.257 (a) 12 V and 16 Ω (b) 20 V and 4 Ω (c) 12 V and 12 Ω (d) 12 V and 3 Ω

Q.257 In the circuit, if ( ) , the expression for ( ) for is

(a) ( ) (c) ( )

(b) ( ) (d) ( ) Q.258 A 0.2 H inductor with an initial current of 4 A is in parallel with a resistor of 100 Ω. The current at 0.8 ms is

(a) (b) (c) (d)

Q.259 In the below network, the switch K is opened at . Then at is

(a) 1000 V/sec (b) 100 V/sec (c) 10 V/sec (d) 1 V/sec

Q.260 For the driving point impedance function of a circuit, ( ) , and real. Then voltage will lead the

current if and are (a) Positive and (b) Positive and (c) Positive and real negative, respectively (d) Negative and real positive respectively Q.261 A 100 Ω resistor has an effective inductance of 0.1 and a distributed capacitance of 10 pF. Its time constant at medium frequency is (a) 0 ns (b) 1 ns FINAL(c) 2 ns (d) 3 ns Q.262 The nature of current response ( ) for for the network shown is

( ) Q.263 For the below circuit, the current gain function has poles and zeros as ( )

(a) No zeros, √ √ (b) , √ , √ (c) No zeros, (d) √ √ Electronics/Electrical Engineering

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Q.264 Match List I with List II and select the correct answer using the code given below the lists:

Codes: A B C D a) 3 1 4 2 b) 2 1 4 3 c) 3 4 1 2 d) 2 4 1 3

( ) Q.265 For the network function , the ( ) at for the relaxed circuit with unit step ( ), is ( ) (a) 0.5 V (b) 1.0 V (c) 1.5 V (d) 2.0 V Q.266 For the parallel RLC circuit shown. If R = 10 Ω, L = 0.1 H and C = 0.1 F, the current I is sinusoidal of frequency equal to the resonant frequency of the circuit, then the current through R is

FINAL

Fig. for Q.266 Fig. for Q.267 (a) 0 (b) 0.1 I (c) I (d) 10 I Q.267 The voltage transfer function of the network is

(a) (b) (c) (d)

( ) Q.268 The transfer function of the 2-port network is ( )

Fig. for Q.268 Fig. for Q.269

(a) (b) (c) (d) ( )

Q.269 Consider the two port network as shown. The hybrid parameter is ( ) ( ) ( ) (a) (b) (c) (d)

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Q.270 A 2-port network is defined by the relation

Then is

(a) (b) (c) 1 (d)

Q.271 For the two port network, the impedance parameter matrix , - [ ] is

(a) 0 1 (b) 0 1 (c) 0 1 (d) 0 1

Q.272 When port – 1 of a two port network is short circuited, and , then which of the following is true?

(a) (b) (c) (d)

Q.273 The driving point impedance function, ( ) , may be realized by

(a) R – C network (b) R – L network (c) L – C network (d) None of the above networks Q.274 If an RC driving point impedance functions, Z(s) has equal number of poles and zeros at finite locations, then (a) ( ) ( ) (b) ( ) ( ) (c) ( ) ( ) (d) ( ) ( ) Q.275 Which one of the following networks represents the Cauer‟s IInd form for the given driving point impedance function

( ) ? FINAL

Q.276 Assertion (A): A network is said to be in resonance when the voltage and current at the network input terminals are in phase. Reason (R): In a two terminal network containing at least one inductor and one capacitor, the resonance is defined as the condition which exists when the input impedance of the network is purely resistive. (a) Both A and R area individually true and R is the correct explanation of A (b) Both A and R in individually true but R is not the correct explanation of A (c) A is true correct explanation of A (d) A is false but R is true

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Electrical Engineering GATE

Q.1 All resistance in the circuit in Figure are of R ohms each. The switch is initially open. What happens to the lamp‟s intensity when the switch is closed? GATE 1992 (EE)

(a) Increases (b) Decreases (c) Remains the samess (d) Answer depends on the value of R Q.2 All the resistances in Figure are 1Ω each. The value of current „I‟ is GATE 1992 (EE)

(a) (b) (c) (d)

Q.3 The characteristic as seen from the terminal pair (A, B) of the network of fig. (I) is shown in fig. (2). If an inductance of value 6 mH is connected across the terminal – pair (A, B), the time constant of the system will be GATE 1996 (EE)

(a) 3 (b) (c) 32 sec (d) Unknown unless the actual network is specified Q.4 An ideal voltage source will charge an ideal capacitor GATE 1997 (EE) (a) In infinite time (b) Exponentially (c) Instantaneously (d) None of these Q.5 A practical current source is usually represented by FINAL GATE 1997 (EE) (a) A resistance in series with an ideal current source (b) A resistance in parallel with an ideal current source (c) A resistance in parallel with an ideal voltage source (d) None of the above Q.6 Energy stored in a capacitor over a cycle, when excited by an a.c. source is GATE 1997 (EE) a) The same as that due to a.c. source of equivalent magnitude b) Half of that due to a d.c. source of equivalent magnitude c) Zero d) None of the above Q.7 In the circuit shown in Figure, it is desired to have constant direct current i(t) through the ideal inductor L. The nature of the voltage source v(t) must be GATE 1998 (EE)

(a) Constant voltage (c) An ideal impulse (b) Linearly increasing voltage (d) Exponentially increasing voltage Q.8 For the circuit shown in figure, the capacitance measured between terminals B and Y will be GATE 1999 (EE)

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(a) ( ) (b) ( ) (c) ( ) (d) Q.9 A voltage waveform ( ) is applied across a 1 H inductor for , with initial current through it being zero. The current through the inductor for is given by GATE 2000 (EE) (a) 12 t (b) 24 t (c) (d) Q.10 Two incandescent light bulbs of 40 W and 60 W rating are connected in series across the mains. Then GATE 2001 (EE) (a) The bulbs together consume 100W (c) The bulbs together consume 50 W (b) The 60 W bulb glows brighter (d) The 40 bulb glows brighter Q.11 Given two coupled inductor and , their mutual inductance M satisfies GATE 2001 (EE) ( ) (a) √ (b) (c) √ (d) √

Q.12 Fig. shows the waveform of the current passing through an inductor of resistance and inductance 2 H. the energy absorbed by the inductor in the first four seconds is GATE 2003 (EE)

(a) 144 J (b) 98 J (c) 132 J (d) 168 J

Q.13 A segment of a circuit is shown in fig. . The voltage is given by GATE 2003 (EE)

(a) (b) (c) 16 sin 2t (d) 16 cos 2t Q.14 In the figure given below the value of R is GATE 2005 (EE) FINAL

(a) 2.5 Ω (b) 5.0 Ω (c) 7.5 Ω (d) 10.0 Ω Q.15 The current through the 2k Ω resistance in the circuit shown in fig. is GATE 2009 (EE)

(a) 0 mA (b) 1 mA (c) 2 mA (d) 6 mA Q.16 As shown in the figure, a 1 Ω resistance is connected across a source that has a load line . The current through the resistance is GATE 2010 (EE)

(a) 25 A (b) 50 A (c) 100 A (d) 200 A Q.17 Figure shows a d.c. resistive network and its graph is drawn aside. A „proper tree‟ chosen for analysing the network will contain the edges: GATE 1994 (EE)

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(a) ab, bc, ad (b) ab, bc, ca (c) ab, bd, cd (d) ac, bd, ad Q.18 The graph of an electrical network has N nodes and B branches. The number of links, L, with respect to the choice of a tree, is given by GATE 2002 (EE) (a) B – N + 1 (b) B + N (c) N – B + 1 (d) N – 2B – 1 Q.19 The number of chords in the graph of the given circuit will be GATE 2008 (EE)

(a) 3 (b) 4 (c) 5 (d) 6 Q.20 Superposition principle is not applicable to a network containing time varying resistors. (True/ False) GATE 1994 (EE)

Q.21 In the fig. . Thevenin‟s impedance seen from X – Y is GATE 2003 (EE)

(a) (b) (c) (d)

Q.22 In the figure the current source is the impedances are , and . The Thevenin equivalent looking into the circuit across X – Y is GATE 2006 (EE) FINAL

(a) √ ( ) (c) ( ) (b) ( ) (d) √ ( ) Q.23 In the circuit given below, the value of R required for the transfer of maximum power to the load having a resistance of 3Ω is GATE 2011 (EE)

(a) Zero (b) 3Ω (c) 6 Ω (d) Infinity Q.24 The impedance looking into nodes 1 and 2 in the given circuit is GATE 2012 (EE)

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(a) 50Ω (b) 100 Ω (c) 5 k Ω (d) 10.1 k Ω Q.25 In the circuit shown below, the current through the inductor is GATE 2012 (EE)

(a) (b) (c) (d) 0 A

Q.26 The time constant of the network shown in Fig. is GATE 1992 (EE)

(a) 2 RC (b) 3 RC (c) RC/2 (d) 2RC/3

Q.27 In the circuit of fig. the switch „S‟ is closed at with ( ) and ( ) . In the steady state equals GATE 1992 (EE)

(a) 200 V (b) 100 V (c) Zero (d) -100 V Q.28 In the series RC circuit shown in Fig. the voltage across C starts increasing when the d.c., source is switched on. The rate of increase of voltage across C at the instant just after the switch is closed (i.e., at ), will be GATE 1996 (EE)

FINAL

(a) Zero (b) Infinity (c) RC (d) I/RC Q.29 A unit step voltage is applied at to series RL Circuit with zero initial conditions. GATE 2001 (EE) a) It is possible for the current to be oscillatory. b) The voltage across the resistor at is zero. c) The energy stored in the inductor in the steady state is zero. d) The resistor current eventually falls to zero. Q.30 In the Fig. given below, the initial capacitor voltage is zero. The switch is closed at . The final steady state voltage across the capacitor is GATE 2005 (EE)

(a) 20 V (b) 10 V (c) 5 V (d) 0 V Q.31 The switch in the circuit has been closed for a long time. It is opened at . At , the current through the 1 capacitor is GATE 2010 (EE)

(a) 0 A (b) 1 A (c) 1.25 A (d) 5 A

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Q.32 In the following circuit (Fig.) i(t) under steady state is GATE 1993 (EE)

(a) Zero (b) 5 (c) 7.07 sin t (d) 7.07 sin ( ) Q.33 The following circuit (Fig.) resonates at GATE 1993 (EE)

(a) All frequencies (b) 0.5 rad/sec (c) 5 rad/sec (d) 1 rad/sec Q.34 At resonance, the given parallel circuit constituted by an iron – cored coil and a capacitor behaves like GATE 1994 (EE)

(a) An open – circuit (b) A short – circuit (c) A pure resistor of value R (d) A pure resistor of value much higher than R Q.35 A series R – L – C circuit ahs the following parameter values: GATE 1995 (EE) R = 10Ω, L = 0.01 H, C = 100 mF. The Q factor of the circuit at resonance is - - - - -

Q.36 In the circuit of Figure, ammeter reads 12 A and reads 9 A. will read - - - - GATE 1995 (EE) FINAL

Q.37 In the circuit shown in Fig. X – is an element which always absorbs power. During a particular operation, it sets up a current of 1 amp in the direction shown and absorbs . It is possible that X can absorb the same power for another current . Then the value of this current is GATE 1996 (EE)

(a) ( √ ) (b) ( √ ) (c) 5 amps (d) None of these Q.38 A sinusoidal source of voltage V and frequency f is connected to a series circuit of variable resistance, R and a fixed reactance, X. The locus of the tip of the current phasor, I , as R is varied from 0 to is GATE 1998 (EE) (a) a semicircle with a diameter of V/X. (c) An ellipse with V/R as major axis. (b) a straight line with a slope of R/X. (d) A circle of radius R/X and origin at ( ) Q.39 A circuit with resistor, inductor and capacitor in series is resonant at Hz. If all the component values are now doubled, the new resonant frequency is GATE 1999 (EE)

(a) (b) still (c) (d)

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Q.40 A series R – L – C circuit when excited by a 10 V sinusoidal voltage source of variable frequency, exhibits resonance at 100 Hz and has 3 dB bandwidth of 5 Hz. The voltage across the inductor L at resonance is GATE 1999(EE)

(a) 10 V (b) √ (c) (d) 200 V √ Q.41 The RMS value of half – wave rectified symmetrical square wave current of 2 A is GATE 1999(EE)

(a) √ (b) 1 A (c) 1/√ (d) √ Q.42 The current in the circuit shown in fig. is GATE 1999(EE)

(a) 5 A (b) 10 A (c) 15 A (d) 25 A Q.43 In a series RLC circuit at resonance, the magnitude of the voltage developed across the capacitor GATE 2001(EE) a) Is always zero b) Can never be greater than the input voltage c) Can be greater than the input voltage, however, it is out of phase with the input voltage d) Can be greater than the input voltage , and is in phase with the input voltage. Q.44 The value of of Z in fig., which is most appropriate to cause parallel resonance at 500 Hz is GATE 2004(EE)

(a) 125.00 mH (b) 304.20 (c) (d) Q.45 The rms value of the current ( ) in the current shown below is GATE 2011(EE) FINAL

(a) (b) (c) 1 A (d) √ √ Q.46 The voltage applied to a circuit is √ ( ) volts and the circuit draws a current of √ ( ) ampperes. Taking the voltage as the reference phasor, the phasor representation of the current in amperes is GATE 2011(EE) (a) √ (b) (c) (d) √ Q.47 The average power delivered to an impedance ( ) by a current ( ) GATE 2012 (EE) (a) 44.2 W (b) 50 W (c) 62.5 W (d) 125 W

Q.48 In the following figure, and are ideal capacitors. has been charged to 12 V before the ideal switch s is closed at . The current ( ) for all t is GATE 2012(EE)

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(a) Zero (b) A step function (c) An exponentially decaying function (d) An impulse function Q.49 If a two – port network is passive, then we have, with the usual notation, the following relationship GATE 1994(EE)

(a) (b) (c) (d) Q.50 For the circuit shown in the fig. the transfer function is equal to GATE 1995(EE)

Q.51 A passive 2-port network is in steady state. Compared to its input, the steady state output can never offer GATE 2001(EE) (a) higher voltage (b) lower impedance (c) greater power (d) better regulation Q.52 For the two port network shown in the fig., the Z-matrix is given by GATE 2005(EE)

(a) [ ] (b) [ ] (c) [ ] (d) [ ]

Q.53 A major advantage of active filters is that they can be realized without using GATE 1997(EE) (a) op – amps (b) inductors (c) resistors (d) capacitors Q.54 The circuit shown in the fig. Is GATE 2007(EE)

FINAL

(a) A voltage source with voltage (b) A voltage source with voltage

Two Marks Questions Q.55 The equivalent Inductance seen at terminals A – B in fig. is ...... H. GATE 1992 (EE)

Q.56 A 10 V battery with an internal resistance of 1Ω is connected across a nonlinear load whose V – I characteristic is given by . The current delivered by the battery is . . . . .A. GATE 1997 (EE) Q.57 The value of E and I for the circuit shown in Figure, are . . . . . V and . . . . .A. GATE 1997 (EE)

Q.58 The voltage and current waveforms for an element are shown in figure. The circuit element is . . . . and its value is ...... GATE 1997 (EE)

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Q.59 The effective inductance of the circuit across the terminals A, B in the Figure shown below is GATE 1998 (EE)

(a) 9 H (b) 21 H (c) 11 H (d) 6 H Q.60 When a periodic triangular voltage of peak amplitude 1 V and frequency 0.5 Hz is applied to a parallel combination of 1Ω resistance and 1 F capacitance, the current through the voltage source has waveform GATE 1999 (EE)

Q.61 When a resistor R is connected to a current source, it consumes a power of 18 W. When the same R is connected to a voltage source having the same magnitude as the current source, the power absorbed by R is 4.5 W. The magnitude of the current source and the value of R are GATE 1999 (EE)

(a) √ and 1 (b) 3 A and 2 (c) 1 A and 18 (d) 6 A and 1.5

Q.62 Currents and meet at a junction (node) in a circuit. All currents are marked as entering the node. If ( ) and ( ) mA, then will be GATE 1999 (EE) (a) ( ) (b) ( ) , (c) ( ) (d) ( ) Q.63 The circuit shown fig. is equivalent to a load of GATE 2000 (EE) FINAL

(a) (b) (c) (d) 2 ohms

Q.64 Consider the star network shown in Fig. The resistance between terminals A and B with C, open is 6 Ω, between terminals B and C with A open is 11Ω, and between terminals C and A with B open is 9Ω. Then GATE 2001 (EE)

(a) (b) (c) (d) Q.65 In Fig. the value of R is GATE 2003 (EE)

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(a) 10 (b) 18 (c) 24 (d) 12 Q.66 In Fig. the value of the source voltage is GATE 2004 (EE)

(a) 12 V (b) 24 V (c) 30 V (d) 44 V

Q.67 In Fig. and are , 10 and 10 respectively. The resistance and in equivalent star – connection are GATE 2004 (EE)

(a) 2.5, 5, 5 (b) 5, 2.5, 5 (c) 5, 5, 2.5 (d) 2.5, 5, 5 Q.68 In Fig. the value of resistance R in is GATE 2004 (EE)

(a) 10 (b) 20 (c) 30 (d) 40 Q.69 A 3 V dc supply with an internal resistance of 2 supplies a passive non linear resistance characterized by the

relation = . The power dissipated in the non-linear resistance is GATE 2007 (EE) (a) 1.0 W (b) 1.5 W (c) 2.5 W (d) 3.0 W Q.70 Assuming ideal elements in the circuit shown below, thFINALe voltage will be GATE 2008 (EE)

(a) -3 V (b) 0 V (c) 3 V (d) 5 V Q.71 In the circuit shown in the figure, the value of current will be given by GATE 2008 (EE)

(a) 0.31 A (b) 1.25 A (c) 1.75 A (d) 2.5 A Q.72 The equivalent capacitance of the input loop of the circuit shown is GATE 2009 (EE)

(a) 2 (b) (c) 200 (d)

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Q.73 For the circuit shown, find out the current flowing through the 2 resistance. Also identify the changes to be made to double the current through the 2 resistance. GATE 2009 (EE)

(a) (5 A; Put ) (c) ( ) (b) ) (d) ( ) Q.74 If the 12 resistor draws a current of 1 A as shown in the figure, the value of GATE 2010 (EE)

Q.75 The matrix A given below is the node incidence matrix of a network. The columns correspond to braches of the

network while the rows corresponds to nodes. Let , - denote the vector of branch voltages while

, - that of branch currents,The vector , - denotes the vecotor of node voltages relative to a common ground.

| | GATE 2007 (EE)

Which of the following statements is true?

(a) The equations are KVL equations for the network for some loops (b) The equations are KVL equations for the network for some loops (c) E = AV (d) AV = 0 are KVL equations for the network Q.76 For the circuit shown in fig. The Norton equivalent source current value is . . . A and its resistance is . . . Ohms GATE 1997 (EE)

FINAL

Q.77 Viewed from the terminals A, B the following circuit shown in figure can be reduced to an equivalent circuit of a single voltage source in series with a single resistor with the following parameters. GATE 1998 (EE)

(a) 5 volts source in series with 10Ω resistor (c)15 volt source in series with 2.4 Ω resistor (b) 7 volt source in series with 2.4 Ω resistor (d) 1 volt source in series with 10 Ω resistor Q.78 In Fig. the potential difference between points P and Q is GATE 2003 (EE)

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(a) 12 (b) 10 V (c) -6 V (d) 8 V Q.79 Two ac sources feed a common variable resistive load as shown in fig. Under the maximum power transfer condition, the power absorbed by the load resistance is GATE 2003 (EE)

(a) 2200 W (b) 1250 W (c) 1000 W (d) 625 W Q.80 In the given fig. the Thevenin‟s equivalent pair (voltage, impedance), as seen at the terminals P – Q, is given by GATE 2005 (EE)

(a) (2 V, 5 Ω) (b) (2V, 7.5 Ω) (c) 4 V, 5 Ω) (d) 4 V, 7.5 Ω) Statement for Linked Answer Questions 81 & 82:

Q.81 For the circuit given above, the Thevenin‟s resistance across the terminal A and B is GATE 2009 (EE) (a) 0.5 k Ω (b) 0.2 k Ω (c) 1 k Ω (d) 0.11 k Ω Q.82 For the circuit given above, the Thevenin‟s voltage across the terminals A and B is GATE 2009 (EE) (a) 1.25 V (b) 0.25 V (c) 1 V (d) 0.5 V Q.83 Assuming both the voltage sources are in phase, the value of R for which maximum power is transferred from circuit A to circuit B is GATE 2012 (EE) FINAL

(a) 0.8 Ω (b) 1.4 Ω (c) 2 Ω (d) 2.8 Ω

Q.84 If then is GATE 2012 (EE)

(a) -5 V (b) 2 V (c) 3 V (d) 6 V Q.85 A rectangular voltage pulse of magnitude V and duration T is applied to a series combination of resistance R and capacitance C. The maximum voltage developed across the capacitor is GATE 1999 (EE) (a) , ( )- (b) (c) V (d) V ( ) Q.86 An 11 V pulse of 10 duration is applied to the circuit shown in Fig. Assuming that the capacitor is completely discharged prior to applying the pulse, the peak value of the capacitor voltage is GATE 2002 (EE)

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(a) 11 V (b) 5.5 V (c) 6.32 V (d) 0.96 V

Q.87 Consider the circuit shown in fig. If the frequency of the source is 50 Hz, then a value of which results in a transient free response is GATE 2002 (EE)

(a) 0 ms (b) 1.78 ms (c) 2.71 ms (d) 2.91 ms Q.88 In the circuit shown in fig. the switch S is closed at time . The voltage across the inductance at , is GATE 2003 (EE)

(a) 2 V (b) 4 V (c) -6 V (d) 8 V Q.89 In Fig. the capacitor initially has a charge of 10 Coulomb. The current in the circuit one second after the switch S is closed will be GATE 2004 (EE)

(a) 14.7 A (b) 18.5 A (c) 40.0 A (d) 50.0 A Q.90 The circuit shown in the fig. is in steady state, when the switch is closed at . Assuming that the inductance is ideal, the current through the inductor at equals GATE 2005 (EE)

FINAL

(a) 0 A (b) 0.5 A (c) 1 A (d) 2 A Statement for Linked Answer Questions 91 and 92: A coil of inductance 10 H and resistance 40 Ω is connected as shown in the Fig. After the switch S has been in contact with point 1 for a very long time, it is moved to point 2 at . Q.91 If, at , the voltage across the coil is 120 V, the value of resistance R is GATE 2005 (EE)

(a) 0 Ω (b) 20 Ω (c) 40 Ω (d) 60 Ω Q.92 For the value of R obtained in the above question the time taken for 95% of the stored energy to be dissipated is close to GATE 2005 (EE) (a) 0.10 sec (b) 0.15 sec (c) 0.50 sec (d) 1.0 sec

Q.93 An ideal capacitor is charged to a voltage and connected at across an ideal inductor L. (The circuit now consists of a capacitor and inductor alone). If we let √ , the voltage across the capacitor at time is given by GATE 2006 (EE)

(a) (b) ( ) (c) ( ) (d) ( )

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Q.94 In the circuit shown in Fig. switch is initially closed and is open. The inductor L carries a current of 10 A

and the capacitor is charged to 10 V with polarities as indicated. is initially Closed at and is opened at . The current through C and the voltage across L at is GATE 2007 (EE)

(a) 55 A, 4.5 V (b) 5.5 A, 45 V (c) 45 A, 5.5 V (d) 4.5 A, 55 V Q.95 The time constant for the given circuit will be GATE 2008 (EE)

(a) 1/9 s (b) 1/4s (c) 4 s (d) 9 s

Q.96 In the Fig. shown, all elements used are ideal. For time remained closed and open. At is

opened and is closed. If the voltage across the capacitor at is zero, the voltage across the capacitor combination at will be GATE 2009 (EE)

(a) 1 V (b) 2 V (c) 1.5 V (d) 3 V

Q.97 In the given circuit, the voltage ̅ has a phase angle of ------with respect to ̅ . GATE 1994 (EE)

Q.98 A coil (Which can be modelled as a series RL circuit) has been designed for high – Q performance at a rated voltage and a specified frequency. If the frequency of operation is doubled, and the coil is operated at the same rated voltage, then the Q – factor and the active power P consumed by the coil will be affected as follows FINAL GATE 1996 (EE) (a) P is doubled, Q is halved (b) P is halved, Q is doubled (c) P remains constant, Q is doubled (d) P decreased 4 times, Q id doubled Q.99 Two identical coils of negligible resistance when connected in series across a 200 V , 50 Hz source draws, a current of 10 A. When the terminals of one of the coils are reversed, then current drawn is 8 A. The coefficient of coupling between the two coils is . . . . . GATE 1997 (EE) Q.100 A fixed capacitor of reactance – j 0.02 Ω is connected in parallel across a series combination of a fixed inductor of reactance j 0.01 Ω and a variable resistance R. As R is varied from zero to infinity, the locus diagram of the admittance of this L – C – R circuit will be GATE 1999 (EE) (a) A semi - circle of diameter j 100 and center at zero. (b) A semi circle of diameter j 50 and center at zero. (c) A straight line inclined at an angle. (d) A straight line parallel to the x-axis. Q.101 The voltage phasor of a circuit is V and the current phasor is A. The active and the reactive powers in the circuit are GATE 1999 (EE) (a) 10 W and 17.32 VAR (c) 20 W and 60 VAR (b) 5 W and 8.66 VAR. (d) √ and √ . Q.102 The impedance seen by the source in the circuit in Fig. is given by GATE 2000 (EE)

(a) ( ) (c) ( ) (b) ( ) (d) ( ) Q.103 In the circuit shown in fig. what value of C will cause a unity power factor at the ac source? GATE 2002 (EE)

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(a) (b) 165 (c) 0.681 (d) 6.81 Q.104 A first order, low pass filter is given with R = and C = 5 . What is the frequency at which the gain of the voltage transfer function of the filter is 0.25? GATE 2002 (EE) (a) 4.92 kHz (b) 0.49 kHz (c) 2.46 kHz (d) 24.6 kHz Q.105 A series R – L – C circuit 50 ; L = 100 and . The lower half power frequency of the circuit is GATE 2002 (EE) (a) 30.55 kHz (b) 3.055 kHz (c) 51.92 kHz (d) 1.92 kHz

Q.106 In the circuit shown in fig. it is found that the input ac voltage ( ) ahnd current are in phase. The coupling

coefficient is , where M is the mutual inductance between the two coils. The value of K and the dot √ polarity of the coil P – Q are GATE 2002 (EE)

(a) K = 0.25 and dot at P (b) K = 0.5 and dot at P (c) K = 0.25 and dot at Q (d) K = 0.5 and dot at Q Q.107 In the circuit of fig. the magnitudes of and are twice that of . The inductance of the coil is GATE 2003 (EE)

(a) 2.14 mH (b) 5.30 H FINAL(c) 3.18 mH (d) 1.32 H Q.108 In Fig. the admittance values of the elements in Siemens are , respectively. The value of I as a phasor when the voltage E across the element is V is GATE 2004 (EE)

(a) (b) (c) (d)

Q.109 The RL circuit of the figure is fed from a constant magnitude, variable frequency sinusoidal voltage source . At 100 Hz, the R and L elements each have a voltage drop . If the frequency of the source is changed to 50 Hz, then new voltage drop across R is GATE 2005 (EE)

(a) √ (b) √ (c) √ (d) √

Q.110 The circuit shown in the figure is energized by a sinusoidal voltage source at a frequency which causes resonance with a current of I. GATE 2006 (EE)

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The phasor diagram which is applicable to this circuit is

Q.111 The R - L – C series circuit shown is supplied from a variable frequency voltage source. The admittance – locus of the R – L – C network at terminals AB for increasing frequency is GATE 2007 (EE)

FINAL

Q.112 In the figure given below all phasors are with reference to the potential at point “O”. The locus of voltage phasor as R is varied from zero to infinity is shown by GATE 2007 (EE)

Q.113 The resonant frequency for the given circuit will be GATE 2008 (EE)

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(a) 1 rad/s (b) 2 rad/s (c) 3 rad/s (d) 4 rad/s

Q.114 A lossy capacitor , rated for operation at 5 kV, 50 Hz is represented by an equivalent circuit with an ideal capacitor in parallel with a resistor . The value of is found to be 0.102 and the value of . Then the power loss tan of the lossy capacitor operating at the rated voltage, respectively, are GATE 2011 (EE) (a) 10 W and 0.002 (b) 10 W and 0.0025 (c) 20 W and 0.025 (d) 20 W and 0.04 Common data Questions: Common data for Question 115 and 116: An RLC circuit with relevant data is given below.

Q.115 The power dissipated in the resistor R is GATE 2011 (EE)

(a) 0.5 W (b) 1 W (c) √ W (d) 2 W

Q.116 The current ⃗ in the fig. above is GATE 2011 (EE)

(a) – (b) (c) (d) √ √ Statement for Linked Answer Questions 117 and 118:

In the circuit shown, the three voltmeter readings are FINAL

Q.117 The power factor of the load is GATE 2011(EE) (a) 0.45 (b) 0.50 (c) 0.55 (d) 0.60

Q.118 If , the approximate power consumption in the load is GATE 2012 (EE) (a) 700 W (b) 750 W (c) 800 W (d) 850 W Q.119 Using Thevenin equivalent circuit, determine the rms value of the voltage across the 100 ohm resistor after the switch is closed in the 3-phase circuit shown in figure. GATE 1992 (EE)

Q.120 A set of 3 equal resistors, each of value , connected in star across RYB of given Fig. consumes the same power as the unbalanced delta – connected load shown. The value of - - - - - . GATE 1994 (EE)

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Q.121 A balanced delta connected load of ( ) per phase is connected to a 400 V, 50 Hz, 3-phase supply lines. If the input power factor is to be improved to 0.9 by connecting a bank of star connected capacitors the required kV AR of the bank is GATE 2003 (EE) (a) 42.7 (b) 10.2 (c) 28.8 (d) 38.4 Q.122 A 400 V, 50 Hz, three phase balanced source supplies power to a star connected load whose rating is √ ( ). The rating (in kVAr) of the delta connected (capacitive) reactive power bank necessary to bring the to unity is (a) 28.78 (b) 21.60 (c) 16.60 (d) 12.47 Q.123 A three phase balance star connected star connected voltage source with frequency rad/s is connected to a star connected balanced load which is purely inductive. The instantaneous line currents and phase to neutral voltages are denoted by ( ) and ( ) respectively and their rms values are denoted by V and I. GATE 2007 (EE)

√ √

If , - √ √

[ √ √ ] The magnitude of R is (a) 3 VI (b) VI (c) 0.7 VI (d) 0 Q.124 A 230 V(phase), 50 Hz, three phase, 4-wire system has a phase sequence ABC. A unity power factor load of 4 kW is connected between phase A and neutral N. It is desired to achieve zero neutral current through the use of a pure inductor and a pure capacitor in the other two phases. The value of inductor and capacitor are (a) 72.95 mH in phase C and 139.02 in phase B GATE 2007 (EE) (b) 72.95 mH in phase B and 139.02 in phase B (c) 42.12 mH in phase C and 240.79 in phase B (d) 42.12 mH in phase B and 240.79 in phase C Q.125 For the two port network shown in Fig., the admittances matrix is GATE 1997 (EE)

Q.126 A two port device is defined by the following pair of equations:FINAL GATE 2000 (EE)

and

Its impedance parameters ( ) are given by (a) ( ) (b) ( ) (c) ( ) (d) ( ) Q.127 A two port network, shown in fig. is described by the following equations: GATE 2002 (EE)

The admittance parameters, and for the network shown are (a) and respectively (c) and respectively

(b) and respectively (d) and respectively

Q.128 The for a two – port network are defined by [ ] [ ] [ ]. GATE 2003 (EE)

For the two port network shown in fig. the value of is given by

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(a) 0.125 (b) 1.167 (c) 0.625 (d) 0.25

Q.129 The Z matrix of a 2-port network is given by 0 1. The element of the corresponding Y matrix of the

same network is given by GATE 2004 (EE) (a) 1.2 (b) 0.4 (c) -0.4 (d) 1.8 Q.130 Two networks are connected in cascade as shown in the fig. With the usual notations the equivalent A, B, C and D

constants are obtained. Given that, C = 0.025 , the value of is GATE 2005 (EE)

(a) (b) (c) 1 Ω (d) 0Ω

Q.131 The parameters of the circuit shown in the fig. are If , the output

voltage, input impedance and output impedance respectively are GATE 2006 (EE)

(a) 1 V, (b) 1 V, 0, 10Ω (c) 1 V, 0, (d) Q.132 The two port network P shown in the fig., has ports 1 and 2, denoted by terminals (a, b) and (c, d), respectively. It has an impedance matrix Z with parameters denoted by . A 1 Ω resistor is connected in series with the network at port I as shown in the fig. The impendence matrix of the modified two – port network (shown as a dashed box) is GATE 2010 (EE) FINAL

(a) ( ) (b) ( ) (c) ( ) (d) ( )

Common Data for Questions 133 and 134: With 10 V dc connected at port A in the linear nonreciprocal tow port network shown below, the following were observed: (i) 1Ω connecting at port B draws a current of 3 A (ii) 2.5 connected at port B draws a current of 2 A GATE 2012 (EE)

Q.133 With 10 V dc connected at port A, the current drawn by 7Ω connected at port B is (a) 3/7 A (b) 5/7 A (c) 1 A (d) 9/7 A Q.134 For the same network with 6 V dc connected at port A, 1Ω connected at port B draws 7/3 A. If 8 V dc connected to port A, the open circuit voltage at port B is (a) 6 V (b) 7 V (c) 8 V (d) 9 V Q.135 In the circuit shown in the fig. the current source I = 1 A, the voltage source

. The current (in A) through and the voltage source V respectively, will be GATE 2006 (EE)

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(a) 1, 4 (b) 5, 1 (c) 5, 2 (d) 5, 4

Q.136 The state equation for the current in the network shown below in terms of the voltage and the independent source V, is given by GATE 2007 (EE)

(a) (c)

(b) (d)

Statement for Linked Answer Questions 137 and 138: The current ( ) sketched in the fig. flows through an initially uncharged 0.3 nF capacitor.

Q.137 The charge stored in the capacitor at , will be GATE 2008 (EE) (a) 8 nC (b) 10 nC (c) 13 nC (d) 16 nC Q.138 The capacitor charged upto 5 , as per the current profile given in the figure, is connected across an inductor of 0.6 mH. Then the value of voltage across the capacitor after 1 will approximately be GATE 2008 (EE) (a) 18.8 V (b) 23.5 V (c) -23.5 V (d) -30.6 V Statement for Linked Answer Questions 139 and 140: A general filter circuit is shown in fig. FINAL

Q.139 If and , the circuit acts as a GATE 2008 (EE) (a) All pass filter (b) Band pass filter (c) High pass filter (d) Low pass filter Q.140 The output of the filter in Q.141 is given in the circuit shown in fig. GATE 2008 (EE)

The gain vs frequency characteristic of the output ( ) will be

Statement for Linked Questions 141 and 142: The L-C circuit shown in the fig. has an inductance L = 1 mH and a capacitance .

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Q.141 The initial current through the inductor is zero, while the initial capacitor voltage is 100 V. The switch is closed at . The current through the circuit is: GATE 2010 (EE) (a) ( ) (b) ( ) (c) ( ) (d) ( ) Q.142 The L – C circuit of Q.141 is used to commutate a thyristor, which is initially carrying a current of 5 A as shown in the fig. below. The values and initial conditions of L, and C are the same as in Q.141. The switch is closed at . If the forward drop is negligible, the time taken for the device to turn off is GATE 2010 (EE)

(a) (b) 156 (c) 312 (d) 26 Five Marks Questions

Q.143 Solve the circuit shown in fig. using the mesh method of analysis and determine the mesh currents and . Evaluate the power developed in the 10 V voltage source. GATE 1999 (EE)

Q.144 In the resistor network shown in fig. all resistor valuesFINAL are . A current of 1 A passes from terminal a to terminal b, as shown in the figure. Calculate the voltage between terminals a and b. [Hint: You may exploit the symmetry of the circuit] GATE 2002 (EE)

Q.145 Find the Thevenin equivalent about AB for the circuit shown in Figure. GATE 1997 (EE)

Q.146 Predict the current I in fig. in response to a voltage of The impedance values are given in ohms. Use Thevenin‟s theorem. GATE 2000 (EE)

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Q.147 An electrical network is fed by two ac sources, as shown in fig. Given that ( ) ( ) and ( ) . Obtain the Thevenin equivalent circuit (Thevenin voltage and impedance) across terminals X and Y, and determine the current , through the load . GATE 2002 (EE)

Q.148 In the circuit shown in fig. ( ) . What are the values of ( ) and ( ) at seconds? GATE 1997 (EE)

Q.149 The switch in the following circuit, shown in fig. has been connected to the 12 V source for a long time. At , the switch is thrown 24 V. GATE 1998 (EE)

(a) Determine ( ) and ( ) (b) Write the differential equation governing ( ) for (c) Compute the steady state value of ( ) FINAL

Q.150 In the given circuit, the capacitor is initially charged to 12 V. find the mathematical expression for the voltage across the capacitor after closing the switch at GATE 1999 (EE)

Q.151 A constant current source is supplying 10 A to a circuit shown in fig. the switch S, which is initially closed for a sufficiently long time, is suddenly opened. Obtain the differential equation governing the behaviour of the inductor current and hence obtain the complete time response of the inductor current. What is the energy stored in L, a long time after the switch is opened. GATE 2002 (EE)

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Q.152 A circuit consisting of a single resistor R and an inductor L in series in driven by a 25 V rms, 50 Hz sinusoidal voltage source. A capacitor is to be placed in parallel with the source to improve the power factor. Given that the average power dissipated in the R is 100 W and that the reactive power delivered to the L is 75 VAR, what value of C will yield a 0.9 p.f. lagging as seen by the source? GATE 1998 (EE)

Q.153 Determine the impedance seen by the source in the network shown in fig. GATE 1998 (EE)

Q.154 Determine the resonance frequency and the Q – factor of the circuit shown in fig. GATE 2001 (EE) Data : R = 10Ω, C = 3 ,

And M = 10 mH

Q.155 For the network shown in Fig. obtain the state equations in terms of capacitor voltage, and inductor . GATE 1999 (EE) FINAL

Q.55 Which of the following equations represents the Gauss „ law in a homogenous isotropic medium? Electronics/Electrical Engineering

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GATE 1992(EE)

(a) ⃗⃗⃗ ⃗ (b) ̅ ⃗⃗⃗ ⃗⃗⃗ (c) ̅ ⃗ (d) ̅ ⃗⃗

Q.56 An electrostatic potential is given by √ volts in the rectangular co – ordinate system. The magnitude of the electric field at is - - - - - V/m GATE 1992(EE) Q.57 The line integral of the vector potential A around the boundary of a surface S represents GATE 1993(EE) (a) Flux through the surface S (c) Magnetic density (b) Flux density in the surface S (D) Current density Q.58 In electrostatic field ̅ ⃗⃗ (True/False) GATE 1994(EE) Q.59 Static magnetic field induce currents in closed conducting loops. GATE 1994(EE) Q.60 A monochromatic plane electromagnetic wave travels in vacuum in the ( system of coordinates). The electric and magnetic fields can be expressed as GATE 1995(EE)

^ (a) ⃗⃗( ) ( ) a y (c) ⃗⃗( ) ( ) ^ ⃗⃗⃗( ) ( ) a z ⃗⃗⃗( ) ( )

(b) ⃗⃗( ) ( ) (d) ⃗⃗( ) ( )

⃗⃗⃗( ) . / ⃗⃗⃗( ) . /

Q.61 If stand for voltage, energy and charge, then v can be expressed as GATE 1996(EE)

(a) (b) (c) (d)

Q.62 The energy stored in the magnetic field of solenoid 30 cm long and 3 cm diameter wound with 1000 turns of wire carrying a current of 10 A is GATE 1996(EE) (a) 0.015 J (b) 0.15 J (c) 0.5 J (d) 1.15 J Q.63 In a uniform electric field, field lines and equipotentials GATE 1997(EE) (a) Are parallel to one another (b) intersect at (c) Intersect at (d) Are orthogonal Q.64 The reflection coefficient for the transmission line shown in fig. at is GATE 1998 (EE)

FINAL (a) +1 (b) -1 (c) 0 (d) 0.5 Q.65 The laws of electromagnetic induction (Faraday‟s and Lenz‟s law) are summarized in the following equation GATE 1998(EE)

(a) (b) (c) (d) None of these

Q.66 Two parallel wires separated by a distance „d‟ are carrying a current „I‟ in the same direction. The magnetic field along a line running parallel to these wires and midway between them GATE 1999(EE) (a) Depends upon „I‟ (b) Is zero (c) Depends upon „d‟ (d) Depends upon the permeability of medium between the wires. Q.67 An electromagnetic field is radiated from GATE 1999(EE) (a) A stationary point charge (b) A capacitor with a DC voltage (c) A conductor carrying a DC current (d) An oscillating dipole Q.68 An electron with velocity „u‟ is placed in an electric field, E and magnetic field, B. The force experienced by the electron is given by GATE 2000(EE) (a) –e E (b) (c) – ( ) (d) – ( )

Q.69 Given a vector field ⃗, the divergence theorem stats that GATE 2002(EE) (a) F.. ds F dV (b) F. d s   F dV sv sv (c) F.. d s   F dV (d) F d s  . F dV sv sv Q.70 Two conductors are carrying forward and return current of +I and –I as shown in fig. The magnetic field intensity ⃗⃗⃗ at point P is GATE 2003(EE)

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(a) a y (b) a x (c) (d) a x

Q.71 A parallel plate capacitor is shown in fig. It is made of two square metal plates of 400 mm side. The 14 mm space between the plates is filled with two layers of dielectrics of thick and thick. Neglecting fringing of fields at the edges the capacitance is GATE 2004(EE)

(a) 1298 pF (b) 944 pF (c) 354 pF (d) 257 pF Q.72 The inductance of long solenoid of length 1000 mm wound uniformly with 3000 runs on a cylindrical paper tube of 60 mm diameter is GATE 2004(EE) (a) 3.2 (b) 3.2 (c) (d) 3.2 H Q.73 Which of the following statements holds for the divergence of electric and magnetic flux densities? (a) both are zero GATE 2006(EE) (b) These are zero for static densities but non zero for time varying densities (c) It is zero for the electronic flux density (d) It is zero for the magnetic flux density Q.74 The concept of an electricity short, medium, and long line is primarily based on the GATE 2006(EE) (a) Nominal voltage of the line (b) Physical length of the line (c) wavelength of the line (d) Power transmitted over the line Q.75 Divergence of the vector field GATE 2007(EE) ( ) ( ) ( ) ( ) (a) (b) (c) (d) none of these

Q.76 Divergence of the three dimensional radial vector field ⃗ is GATE 2010(EE) (a) 3 (b) 1/r FINAL(c) iˆˆ j kˆ (d) 3iˆˆ j kˆ Q.162 The capacitance of the arrangement shown in figure is ...... pF GATE 1997 (EE)

Q.163 The capacitance of an isolated sphere of radius 10 cm in air is equal to .. . . .pF (fill in the blank) GATE 1997 (EE) Q.164 The velocity of propagation of electromagnetic wave on an underground cable with relative permittivity of 3 will be . . . . .m/sec (Fill in the blank) GATE 1997 (EE) Q.165 For a single phase overhead line having solid cooper conductors of diameter 1 cm, spaced 60 cm between centers, the inductance in mH/km is GATE 1999 (EE)

(a) (b) (c) ( ) (d) ( )

Q.166 The electric field E (in voitls/meter) at the point (1, 1, 0) due to a point charge of located at ( ) (coordinates in metres) is GATE 2001 (EE)

(a) ( ) (b) ( ) (c) ( ) (d) ( ) √ √

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Q.167 Given the potential function in free space to be ( ) ( ) volts, the magnitude (in volts/meter) and the direction of the electric field at a point ( ), where the dimensions are in meters, are GATE 2001 (EE)

(a) ( ) (b) ( ) √ (c) √ [( ) √ ] (d) √ [( ) √ ] Q.168 The conductors of a 10 km long, single phase, two wire line are separated by a distance of 1.5 m. The diameter of each conductor is 1 cm. If the conductors are of copper, the inductance of the circuit is GATE 2001 (EE) (a) 50.0 mH (b) 45.3 mH (c) 23.8 mH (d) 19.6 mH Q.169 A point charge of is placed in a space with a permittivity of as shown in Fig. The potential difference between two points P and Q at distances of 40 mm and 20 mm respectively from the point charge is GATE 2003 (EE)

(a) 0.22 kV (b) -22.5 V (c) -2.24 kV (d) 15 V Q.170 A parallel plate capacitor has an electrode area of , with a spacing of 0.1 mm between the electrodes. The dielectric between the plates is air with a permittivity of . The charge on the capacitor is 100 V. The stored energy in the capacitor is GATE 2003 (EE) (a) (b) (c) (d)

Q.171 A composite parallel plate capacitor is made up of two different dielectric material with different thicknesses ( and ) as shown in fig. The two different dielectric materials are separated by a conducting foil F. The voltage of the conducting foil is GATE 2003 (EE)

(a) 52 V (b) 60 V (c) 67 V (d) 33 V Q.172 Fig. shows an ideal single phase transformer. The primaryFINAL and secondary coils are wound on the core as shown. Turns ratio ( ) . The correct phasors of voltage currents and core flux are as shown in GATE 2003 (EE)

(a) Fig. A (b) fig. B (c) Fig. C (d) Fig. D

Q.173 Consider the following statements with reference to the equation ⃗ GATE 2006 (EE)

(1) This is a point form of the continuity equation (2) divergence of current density is equal to the decreases of charge per unit volume per unit at every point. (3) This is Maxwell‟s divergence equation (4) This represents the conservation of charge Select the correct answer. Electronics/Electrical Engineering

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(a) Only 2 and 4 are true (c) 2, 3 and 4 are true (b) (b) 1, 2 and 3 are true (d) 1, 2 and 4 are true Q.174 A capacitor consists of two metal plates each and speed 6 mm apart. The space between the metal plates is filled with a glass plate of 4 mm thickness and a layer of paper of 2 mm thickness. The relative permittivity of the glass and paper are 8 and 2 respectively. Neglecting the fringing effect, the capacitance will be GATE 2008 (EE)

(given that ) (a) 983.33 pF (b) 1475 pF (c) 6637.5 pF (d) 9956.25 pF

Q.175 ( ) ( ) aˆx ( ) aˆ y . Its line integral over the straight line from GATE 2009 (EE)

( ) ( ) ( ) ( ) evaluates to (a) -8 (b) 4 (c) 8 ` (d) 0

Q.176 A capacitor is made with a polymeric dielectric having an of 2.26 and a dielectric breakdown strength of 50 kV/cm. The permittivity of free space is 8.85 pF/m. If the rectangular plates of the capacitor have a width of 20 cm and a length of 40 cm, then the maximum electric charge in the capacitor is GATE 2011 (EE) (a) (b) (c) (d) 10 Q.190 Match the appropriate item from the right hand side with those on the left hand side. GATE 1994 (EE) (a) Line charge (P) Maxwell (b) Magnetic (Q) Poynting vector (c) displacement current (R) Transmission line conductors (d) Power flow (S) Biot – Savart‟s law (T) Gauss‟s law (U) Faraday‟s law Q.191 Determine the electric field intensity at the point P for the arrangement shown in fig. GATE 1997 (EE)

FINAL

Q.192 A infinitely long straight wire carries 1000 A of current and in the vicinity there is a circular conducting loop of 100 mm diameter with the center of the loop 1 m away from the straight conductor. Both the wire and the loop are coplanar. Determine the magnitude and direction of current in the lop that procedures a zero flux density at its center. GATE 1997 (EE) Q.193 A square coil o 10 turns and 10 cm side is moved through a steady magnetic field of 1 at a constant velocity of 2 m/sec with its plane perpendicular to the field as shown in figure Plot the variation of induced e.m.f. as the coil moves along the field. GATE 1997 (EE)

Q.194 An infinite number of charges, each equal to „q‟ are placed along the and so on. Find the potential and electric field at point . Due to these system of charges. GATE 1998 (EE)

Q.195 An electron moves in the X-Y plane with a speed of its velocity vector makes an angle of with X axis. A

magnetic field of magnitude exis5s along the Y with compute the magnetic exerted on the electron a its direction GATE 1998 (EE)

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Q.196 A charge + Q is uniformly distributed throughout the volume of a dielectric sphere of radius „R‟ and dielectric constant „ from the center of the sphere, where the ragnes and . Indicated expression (s) for the critical point (s) on the sketch. GATE 1999 (EE) Q.197 (a) Show via the construction of a suitable Guassian surface, that the capacitance of spherical capacitor consisting of two concentric shells of radii a and b is given by

( )

(a) A current I in the short conducting element shown in Fig. produces a flux density at point 1. Determine the magnitude and the direction of the flux density vector at point 2 GATE 2008 (EE)

⃗ Q.198 The magnetic vector potential in a region is defined by ( ) aˆz . An infinitely long conductor, having a cross section area, and carrying a dc current, I = 5 A in the y direction, passes through this region as shown in fig. Determine the expression for (a) ⃗⃗ and (b) force density ⃗ exerted on the conductor GATE 2002 (EE)

Q.199 In the given figure, and are ideal ammeters. If and read 3 A and 4 A respectively, then should read GATE 1996 (ECE)

FINAL

(a) 1 A (b) 5 A (c) 7 A (d) None of these Q.200 The number of independent loops for a network with n nodes and branches is GATE 1996 (ECE) (a) (b) (c) (d) Independent of the number of nodes

Q.201 The inverse Laplace transform of the function is GATE 1996 (ECE) ( )( ) (a) (b) (c) (d)

Q.202 The voltages and across the capacitors in the circuit in the given figure, under steady state are respectively. GATE 1996 (ECE)

(a) 80V, 32V, 48V (b) 80V, 48V, 32V (c) 20V, 8V, 12V (d) 20V, 12V, 8V Q.203 In the circuit shown in the figure is ( ) ( ), assuming initial voltage and capac8itors and currents through the inductors to be zero at the currents through the inductors to be zero at the time of switching ( ), then at anytime . GATE 1996 (ECE)

(1) Current increases monotonically with time

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(2) Current decreases monotonically with time

(3) Current remains constant at

(4) Current first increases then decreases (5) No current can ever flow Q.204 A DC voltage source is connected across a series R-L-C circuit. Under steady state conditions, the applied DC voltage drops entirely across the Gate 1995 (ECE) (a) R only (b) L only (c) C only (d) R and L combination Q.205 Consider a DC voltage source connected to a series R-C circuit. When the steady state reaches, the ratio of the energy stored in the capacitor to the total energy supplied by the voltage source, is equal to Gate 1995 (ECE) (a) 0.362 (b) 0.500 (c) 0.632 (d) 1.000 Q.206 Two 2 H inductors coils are connected in series and are also magnetically coupled to each other the coefficient of coupling being 0.1. The total inductance of the combination can be Gate 1995 (ECE) (a) 0.4 H (b) 3.2 H (c) 4.0 H (d) 3.3 H

Q.207 The RMS value of rectangular wave of period T, having a value of + V for a duration, ( ) and –V for the duration, , equals Gate 1995 (ECE)

(A) V (b) (c) (d) Q.208 √ Q.208 The value of the resistance, R, connected across the terminals, A and B, which will absorb the maximum power, is Gate 1995 (ECE)

2kΩ 4kΩ A B R 6kΩ FINAL4kΩ

(a) 4.00 kΩ (b) 4.11 kΩ (c) 8.00 kΩ (d) 9.00 kΩ Q.209 The current, ( ), through a 10Ω resistor in series with an inductance, is given by Gate 1995 (ECE) ( ) ( ) ( ) The RMS value of the current and the power dissipated in the circuit are:

(a) √ respectively (c) (b) √ (d) Q.210 The drift velocity of electrons, in silicon Gate 1995 (ECE) a) Is proportional to the electric field for all values of electric field b) Is independent of the electric field c) Increases at low values of electric field and decreases at high values of electric field exhibiting negative differential resistance d) Increases linearly with electric field at low values of electric field and gradually saturates at higher values of electric field Q.211 A series R-L-C circuit has a Q of 100 and an impedance of ( ) Ω at its resonant angular frequency of radian/sec. The values of R and L are: Gate 1995 (ECE) R = ohms, L = ohms. Q.212 For a 2-port network to be reciprocal, Gate 1992 (ECE)

(a) (b) (c) (d)

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Q.213 For the series R-L circuit of the given first figure, the partial fissure diagram at a certain frequency is shown in the given second figure. The operating frequency of the circuit is Gate 1992 (ECE)

(a) Equal to the resonance frequency (c) Greater than resonance frequency (b) Less than the resonance frequency (d) Not zero. Q.214 Assume that the operational amplifier in given figure is ideal. The current, I, through the 1K ohm resistor is . … Gate 1992 (ECE) 2kΩ

1kΩ

Q.215 Which of the following signals is /are periodic? Gate 1992 (ECE) (a) ( ) (c) ( ) ( ) (b) ( ) ( ) (d) ( ) Q.216 The Laplace transform of the periodic function ( ) described by the curve below, i.e. Gate 1993 (ECE) ( ) * ( ) ( + 0 otherwise is

Q.217 A dc circuit shown in the figure is has a voltage source V, a current source 1 and source 1 and several resistors. A particular resistor R dissipates a power of 4 Watts when V alone is active. The same resistor R dissipates a power of 9 Watts when 1 alone is active. the power dissipatedFINAL by R when both sources are active will be Gate 1993 (ECE)

(a) 1 W (b) 5W (c) 13W (d) 25W Q.218 In the series circuit shown in figure for series resonance, the value of the coupling coefficients K will be

16Ω -j12Ω J2Ω J8Ω (a0 0.25 (b) 0.5 (c) 0.999 (d) 1.0 Q.219 If the secondary winding of the ideal transformer shown in the circuit of fig. , has 40 turns, the number of turns in primary winding for maximum power transfer to the resistor will be

8Ω

2Ω Vg

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(a) 20 (b) 40 (c) 80 (d) 160 Q.218 A network contains linear resistors and ideal voltages sources. If values of all the resistors are doubled, then the voltage across each resistor is Gate 1993 (ECE) (a) Halved (b) Doubled (c) Increased by four times (d) Not changed Q.219 The two electrical sub network and are connected through three resistors as shown in the figure. The voltage across 5 ohm resistor and 1 ohm resistor are given to be 10 V and 5 V, respectively. Then voltage across 15 ohm resistor is Gate 1993 (ECE)

10V 11Ω 3Ω 1Ω 5V

(a) -105 V (b + 105 V (c) – 15 V (d) + 15 V Q.220 In the figure is and and are ideal ammeters. If reads 5A. reads 12 A, then should need. Gate 1993 (ECE)

(a) 7 A (b) 12 A (c) 13 A (d) 17 A Q.221 The Laplace transform of a unit ramp function starting at , is

(a) (b) (c) (d) ( ) ( )

Q.222 A series LCR circuit consisting of | | and | | , is connected across an a.c. supply of 200 V rms. The rms voltage across the capacitor is (a) (b) (c) (d) V Q.223 A ramp voltage, ( ) is applied to an RC differentiating circuit with R = 5k Ω and C = 4 . The maximum output voltage is (a) 0.2 volts (b) 2.0 volts (c) 10.0 volts (d) 50.0 volts Q.224 The condition that a z-port network is reciprocal, can FINALbe expressed in terms of its ABCD parameters as Gate 1994 (ECE) Q.225 In a series RLC high Q circuit, the current peaks at a frequency Gate 1991 (ECE) (a) Equal to the resonant frequency (c) Less than the resonant frequency (b) Greater than the resonant frequency (d) None of the above Q.226 Two two-port networks are connected in cascade. The combination is to be represented as a single two – port network. The parameters of the network are obtained by multiplying the individual Gate 1991 (ECE) (a) Z-parameters matrix (b) h-parameter matrix (c) y-parameter matrix (d) ABCD parameter matrix Q.227 (a) Find the Laplace transform of the waveform ( ) shown in figure. Gate 1991 (ECE)

(b) The network shown in figure is initially under steady state condition with the switch in position 1. The switch is moved from position 1 to position 2 at . Calculate the current ( ) through after switching.

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Q.228 In figure, the operational amplifier is ideal and its output can swing between -15 and +15 volts. The input which is zero for , is switched to 5 volts at the instant . Given that the output is volts for , sketch on the same diagram the waveforms of and . You must give the values of important parameters of this sketch. Gate 1991 (ECE)

Q.229 In figure the operational amplifiers are ideal and their output can swing between -15 and +15 volts. Sketch on same diagram, the waveform of voltages and as a function of time. You must give the values of important parameters of this sketch. Gate 1991 (ECE)

FINAL

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GATE(ECE)

Gate - 1999 Q.1 Identify which of the following is NOT a tree of the graph shown in the figure

(a) begh (b) defg (c) adhg (d) aegh

Q.2 A 2-port network is shown in the figure. The parameter for this network can be given by

(a) (b) (c) (d)

Q.3 The Thevenin equivalent voltage appearing between the terminals A and B of the network shown in the figure is given by

(a) ( ) (b) ( ) (c) ( ) (d) ( ) Q.4 The value of R (in ohms) required for maximum power transfer in the network shown in the figure is FINAL

(a) 2 (b) 4 (c) 8 (d) 16

Q.5 A Delta-connected network with its Wye-equivalent is shown in the figure. The resistances and (in ohms) are respectively

(a) 1.5, 3 and 9 (b) 3, 9 an d1.5 (c) 9, 3 and 1.5 (d) 3, 1.5 and 9 Gate - 2000 Q.6 In the circuit of the figure, the voltage ( ) is

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(a) (b) (c) (d) a Q.7 In the circuit of the figure, the value of the voltage source E is

(a) -16 V (b) 4 V (c) -6 V (d) 16 V Q.8 The circuit of the figure represents a

(a) Low pass filter (b) High pass filter (c) band pass filter (d) band reject filter Q.9 Use the data of the figure (a). The current I in the circuit of the figure (b)

(a) -2A (b) 2 A (c) -4 A (d) +4 A Q.10 For the circuit in the figure, the voltage is FINAL

(a) 2 V (b) 1 V (c) -1V (d) None of these Q.11 A linear time invariant system has an impulse response , for . If initial conditions are 0 and the input is , the output for is (a) (b) (c) (d) None of these Gate - 2001

Q.12 The voltage in the figure is

(a) 2V (b) V (c) 4 V (d) 8 V

Q.13 If each branch of a Delta circuit has impedance √ Z, then each branch of the equivalent Wye circuit has impedance.

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(a) (b) 3Z (c) √ (d) √

Q.14 The admittance parameter in the 2-port network in Figure is

(a) -0.2 mho (b) 0.1 mho (c) -0.05 mho (d) 0.05 mho

Q.15 The voltage in the figure is

(a) 48 V (b) 24 V (c) 36 V (d) 28 V Q.16 In the figure, the value of the load resistor R which maximizes the power delivered to it is

(a) 14.14 Ω (b) 10 Ω (c) 200 Ω (d) 28.28 Ω

Q.17 When the angular frequency in the figure is varied from 0 to , the locus of the current pahsor is given by

FINAL

Q.18 The Z-parameters and for the 2-port network in the figure are

(a) (c)

(b) (d)

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Gate - 2002 Q.19 The dependent current source shown in the figure

(a) Delivers 80 W (b) Absorbs 80 W (c) Delivers 40 W (d) Absorbs 40 W

Q.20 In the figure, the switch was closed for a long time before opening at . The voltage at is

(a) 25 V (b) 50 V (c) -50 V (d) 0 V

Q.21 In the network of the figure, the maximum power is delivered to if its value is

(a) 16 Ω (b) Ω (c) 60 Ω (d) 20 Ω

Q.22 If the 3-phase balanced source in the figure delivers 1500 W at leading power factor 0.844, then the value of (in ohm) is approximately FINAL

(a) (b) (c) (d) Gate - 2003 Q.23 The minimum number of equations required to analyze the circuit shown in the figure is

(a) 3 (b) 4 (c) 6 (d) 7 Q.24 A source of angular frequency 1 rad/sec has a source impedance consisting of 1Ω resistance in series with 1 H inductance. The load that will obtain the maximum power transfer is (a) 1 Ω resistance (c) 1 Ω resistance in series with 1 F capacitor (b) 1 Ω resistance in parallel with 1 H inductance (d) 1 Ω resistance in parallel with 1 F capacitor Q.25 A series RLC circuit has a resonance frequency of 1 KHz and a quality factor Q = 100. If each of R, L and C is doubled from its original value, the new Q of the circuit is (a) 25 (b) 50 (c) 100 (d) 200 Q.26 The differential equation for the current i(t) in the circuit of the figure is

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(a) ( ) (c) ( )

(b) ( ) (d) ( )

Q.27 Twelve 1 Ω resistance are used as edges to form a cube. The resistance between two diagonally opposite corners of the cube is

(a) (b) 1 Ω (c) (d)

Q.28 The current flowing through the resistance R in the circuit in the figure ahs the form P cos 4t, where P is

(a) ( ) (b) ( ) (c) – ( ) (d) – ( ) The circuit for Q.29 and 30 is given. Assume that the switch S is in position 1 for a long time and thrown to position 2 at t = 0.

Q.29 At , the current is

(a) (b) (c) (d) Zero

Q.30 ( ) and ( ) are the Laplace transforms of ( ) andFINAL ( ) respectively. The equations for the loop currents ( ) and ( ) for the circuit shown in the figure, after the switch is brought from position 1 to position 2 at t = 0, are

( ) ( ) (a) [ ] [ ] 6 7 (c) [ ] [ ] 6 7 ( ) ( )

( ) ( ) (b) [ ] [ ] 6 7 (d) [ ] [ ] 6 7 ( ) ( )

Q.31 An input voltage ( ) √ ( ) √ ( ) is applied to a series combination of resistance R =1Ω and an inductance L = 1H. The resulting steady-state current i(t) in ampere is (a) ( ) ( ) (c) ( ) ( )

(b) ( ) √ ( ) (d) ( ) √ ( )

Q.32 The driving point impedance Z(s) of a network has the pole-zero locations as shown in the figure. If ( ) then ( ) is

( ) ( ) ( ) ( ) (a) (b) (c) (d)

Q.33 The impedance parameters and of the two-port network in the figure are Electronics/Electrical Engineering

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(a) and (c) and (b) and (d) and Gate - 2004 Q.34 Consider the network graph shown in the figure. Which one of the following is NOT a „tree‟ of this graph?

Q.35 The equivalent inductance measured between the terminals 1 and 2 for the circuit shown in the figure is

(a) (b) (c) (d)

Q.36 The circuit shown in the figure, with has input voltage ( ) . The resulting

current I(t) is

(a) ( ) FINAL(c) ( ) (b) ( ) (d) ( )

Q.37 For the circuit shown in the figure, the time constant RC = 1 ms. The input voltage is ( ) √ . The output voltage ( ) is equal to.

(a) ( ) (b) ( ) (c) ( ) (d) ( )

Q.38 For the R-L circuit shown in the figure, the input voltage ( ) ( ). The current i(t) it

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Q.39 For the lattice circuit shown in the figure and . The values of the open circuit impedance parameters

[ ]

(a) [ ] (b) [ ] (c) [ ] (d) [ ]

Q.40 The circuit shown in the figure has initial current ( ) through the inductor and an intial voltage ( ) across the capacitor. For input ( ) ( ), the Laplace transformer of the current i(t) for is

FINAL

(a) (b) (c) (d)

( ) Q.41 The transfer function ( ) of an R-L-C circuit is given by ( ) . The Quality factor (Q-factor) ( ) of this circuit is (a) 25 (b) 50 (c) 100 (d) 5000

( ) Q.42 For the circuit shown in the figure, the initial condition are zero. Its transfer function ( ) is ( )

(a) (b) (c) (d)

Q.43 Consider the following statement and

At the resonant frequency the impedance of a series R-L-C circuit is zero

in a parallel G-L-C circuit, increasing the conductance G results in increase in its Q factor. Which one of the following is correct?

(a) is FALSE and is TRUE (c) is TRUE and is FALSE (b) Both and are TRUE (d) Both and are FALSE

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Gate - 2005 Q.44 The condition on R, L and C such that the step response y(t) in the figure has no oscillations, is

(a) √ (b) √ (c) √ (d) √

Q.45 The ABCD parameters of an ideal n : 1 transformer shown in the figure are 0 1. The value of X will be

(a) n (b) (c) (d)

Q.46 In a series RLC circuit, R = , L = 1 H. and

The resonant frequency is

(a) (b) (c) (d)

Q.47 The maximum power that can be transferred to the load resistor from the voltage source in the figure is

(a) 1 W (b) 10 W (c) 0.25 W (d) 0.5 W Q.48 The first and the last critical frequency of an RC – driving point impedance function must respectively be (a) a zero and a pole (c) a pole and a pole (b) a zero and a zero (d) a pole and a zero Q.49 For the circuit shown in the figure, the instantaneous currentFINAL ( ) is

(a) √ (b) √ (c) (d)

Q.50 Impedance Z as shown in the given figure is

(a) (b) (c) (d) Q.51 For the circuit shown in the figure, Thevenin‟s voltage and Thevenin‟s equivalent resistance at terminals a –b is

(a) 5 V and 2Ω (b) 7.5 V and 2.5 Ω (c) 4 V and 2 Ω (d) 3 V and 2.5 Ω Electronics/Electrical Engineering

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Q.52 The h parameters of the circuit shown in the figure are

(a) 0 1 (b) 0 1 (C) 0 1 (d) 0 1

Q.53 A square pulse of 3 volts amplitude is C-R circuit shown in the figure. The capacitor is initially unchanged. The output voltage at time t = 2 sec is

(a) 3 V (b) -3 V (c) 4 V (d) -4 V Gate - 2006 Q.54 A two port network is represented by ABCD parameters given by

[ ] 0 1 [ ]

If port -2 is terminated by , the input impedance seen at port 1 given by

(a) (b) (c) (d)

Q.55 In the two port network shown in the figure below, and are, respectively

FINAL (a) and (b) and (c) 0 and (d) and Q.56 The first and the last critical frequencies (singularities) of a driving point impedance function of passive network having two kinds of element, are a pole and a zero respectively. The above property will be satisfied by (a) RL network only (c) LC network only (b) RC network only (d) RC as well as RL networks Q.57 A 2 mH inductor with some initial current can be represented as shown below, where s is the Laplace Transform variable. The value of initial current is

(a) 0.5 A (b) 2.0 A (c) 1.0 A (d) 0.0 A Q.58 In the figure shown below, assume that all the capacitors are initially uncharged. If ( ) ( ) ( ) is given by

(a) (b) . / (c) 8u(t) Volts (d) 8 Volts

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Q.59 A negative resistance is connected to a passive network N having driving point impedance as shown below. For ( ) to be positive real

(a) | | ( ) (c) | | ( ) (b) | | ( ) (d) | | | ( )| Gate - 2007

Q.60 An independent voltage source in series with an impedance delivers a maximum average power to a load impedance when

(a) (b) (c) (d) Q.61 The RC circuit shown in the figure is

(a) A low pass filter (c) a band pass filter (b) A high-pass filter (d) a band-reject filter

Q.62 Two series resonant filters are as shown in the figure. Let the 3-dB bandwidth of Filter 1 be and that of Filter 2 be . The value of is

FINAL

(a) 4 (b) 1 (c) (d)

Q.63 For the circuit shown in the figure, the Thevenin voltage and resistance looking into x-Y are

(a) 4/3 V, 2 Ω (b) 4 V, 2/3 Ω (c) 4/3 V, 2/3 Ω (d) 4 V, 2 Ω

Q.64 In the circuit shown, is 0 volts at t = 0 sec. For t > 0, the capacitor current ( ), where t is in seconds is given by

(a) ( ) (c) ( ) (b) ( ) (d) ( )

Q.65 In the AC network shown in the figure, the phasor voltage (in Volts) is

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(a) 0 (b) (c) (d) Gate - 2008 Q.66 In the following graph, the number of trees (P) and the number of cut-sets (Q) are

(a) P = 2, Q = 2 (b) P = 2, Q = 6 (c) P = 4, Q = 6 (d) P = 4, Q = 10

Q.67 In the following circuit, the switch S is closed at t = 0. The rate of change of current ( ) is given by

( ) (a) 0 (b) (c) (d)

Q.68 The Thevenin equivalent impedance between the nodes P and Q in the following circuit is

(a) 1 (b) (c) (d)

Q.69 The driving point impedance of the following networkFINAL

Is given by ( ) . The component values are

(a) (c) (b) (d) Q.70 The circuit shown in the figure is used to charge the capacitor C alternately from two current sources as indicated. The switches and are mechanically coupled and connected as follows:

For ( ) ( ) to and to .

For ( ) ( ) ( ) to and to

Assume that the capacitor has zero initial charge. Given that u(t) is unit step function, the voltage ( ) across the capacitor is given by

(a) ∑ ( ) ( ) (c) ( ) ∑ ( ) ( ) ( ) ( ) ( ) (b) ( ) ∑ ( ) ( ) (d) ∑ [ ]

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Common DATA for Question 71 and 72: The following series RLC circuit with zero initial conditions is excited by a unit impulse function ( ).

Q.71 For , the output voltage ( ) is

√ √ √ (a) ( ) (b) (c) . / (d) . / √ √ √ √ Q.72 For , the voltage across the resistor is

√ √ (a) ( ) (c) . / √ √

√ √ √ (b) 0 . / . /1 (d) . / √ √ Linked Answer Questions Q.73 to Q.74 A two port network shown below is excited by external dc sources. The voltages and currents are measured with voltmeters and ammeters (all assumed to be ideal) as indicated. Under following switch conditions, the readings obtained are:

(i) Open, closed (ii) Closed, Open

Q.73 The Z-parameter matrix for this network is

(a) 0 1 (b) 0 1 (c) 0 1 (d) 0 1

Q.74 The h-parameter matrix for this network is FINAL

(a) 0 1 (b) 0 1 (c) 0 1 (d) 0 1

Gate - 2009 Q.75 In the interconnection of ideal sources shown in the figure, it is known that the 60 V source is absorbing power.

Which of the following can be the value of the current source I? (a) 10 A (b) 13 A (c) 15 A (d) 18 A

( ) Q.76 If the transfer function of the following network is ( )

7 the value of the load resistance is (a) R/4 (b) R/2 (c) R (d) 2 R

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Q.77 A fully charged mobile phone with a 12 V battery is good for a 10 minute talk-time. Assume that, during the talk- time the battery delivers a constant current of 2 A and its voltage drops linearly from 12 V to 10 V as shown in the figure. How much energy does the battery deliver during this talk time?

(a) 220 J (b) 12 kJ (c) 13.2 kJ (d) 14.4 J

Q.78 An AC sources of RMS voltage of 20 V with internal impedance ( ) feeds a load of impedance ( ) in the figure below. The reactive power consumed by the load is

(a) 8 VAR (b) 16 VAR (c) 28 VAR (d) 32 VAR Q.79 The switch in the circuit shown was on position a for a long time, and is moved to potion b at time t = 0. The current i(t) for t > 0 is given by

(a) ( ) (b) ( ) (c) ( ) (d) ( )

Q.80 In the circuit shown, what value of maximizes the power delivered to ?

FINAL

(a) (b) (c) 4 (d) 6

Q.81 The time domain behaviour of an RL circuit is represented by

. / ( )

For an initial current of ( ) , the steady state value of the current is given by

(a) ( ) (b) ( ) (c) ( ) ( ) (d) ( ) ( )

Gate - 2010 Q.82 For the two-port network shown below, the short-circuit admittance parameter matrix is

(a) 0 1 (b) 0 1 (c) 0 1 (d) 0 1

Q.83 For a parallel RLC circuit, which one of the following statements is NOT correct? a) The bandwidth of the circuit decreases if R is increased b) The bandwidth of the circuit remains same if L is increased c) At resonance, input impedance is a real quantity d) At resonance, the magnitude of input impedance attains its minimum value

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Q.84 If the scattering matrix (S) of a two port network is

, - 0 1

Then the network is (a) Lossless and reciprocal (c) Not lossless but reciprocal (b) Lossless but not reciprocal (d) Neither lossless nor reciprocal Q.85 In the circuit shown, the switch S is open for a long time and is closed at t = 0. The current i(t) for is

(a) ( ) (c) ( ) (b) ( ) (d) ( ) Q.86 The current I in the circuit shown is

(a) –j 1 A (b) j 1 A (c) 0 A (d) 20 A Q.87 In the circuit shown, the power supplied by the voltage source is

(a) 0 W (b) 5 W (c) 10 W (d) 100 W Gate - 2011 Q.88 In the circuit shown below, the Norton equivalent currentFINAL in amperes with respect to the terminals P and Q is

(a) (b) (c) (d)

Q.89 In the circuit shown below, the value of such that the power transferred to is maximum is

(a) 5Ω (b) 10 Ω (c) 15 Ω (d) 20 Ω

Q.90 The circuit shown below is driven by a sinusoidal input ( ). The steady output is

(a) ( ) ( ) (b) ( ) ( ) (c) ( ) ( ) (d) ( ) ( ) Q.91 In the circuit shown below, the network N is described by the following Y matrix.

0 1 The voltage gain is

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(a) 1/90 (b) -1/90 (c) -1/99 (d) -1/11 Q.92 In the circuit shown below, the initial charge on the capacitor in 2.5 mC, with the voltage polarity as indicated. The switch is closed at time t = 0. The current i(t) at a time t after the switch is closed is

(a) ( ) ( ) (c) ( ) ( ) (b) ( ) ( ) (d) ( ) ( ) Q.93 In the circuit shown below, the current I is equal to

(a) (b) (c) (d) Gate - 2012 Q.94 In the circuit shown below, the current through the inductor is FINAL

(a) (b) (c) (d) 0 A

Q.95 The impedance looking into nodes 1 and 2 in the given circuit is

(a) 50 Ω (b) 100 Ω (c) 5 kΩ (d) 10.1 kΩ Q.96 The average power delivered to an impedance ( ) by a current 5 cos ( ) is (a) 44.2 W (b) 50 W (c) 62.5 W (d) 125 W

Q.97 In the following figure, and are ideal capacitors, had been charged to 12 V before the ideal switch S is closed at t = 0. The current i(t) for all t is

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(a) Zero (c) An exponentially decaying function (b) A step function (d) An impulse function

Q.98 If then is

(a) -5 V (b) 2 V (c) 3 V (d) 6 V Q.99 Assuming both the voltage sources are in phase, the value of R for which maximum power is transferred from circuit A to circuit B is

(a) 0.8 Ω (b) 1.4 Ω (c) 2 Ω (d) 2.8 Ω Common Data for Q.100 and 101: With 10 V dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed. (i) 1 Ω connected at port B draws a current of 3 A. (ii) 2.5 Ω connected at port B draws a current of 2 A

FINAL Q.100 For the same network, with 6 V dc connected at port A, 1 Ω connected at port B draws 7/3 A. If 8 V dc is connected to port A, the open circuit voltage at port B is (a) 6 V (b) 7 V (c) 8 V (d) 9 V Q.101 With 10 V dc connected at port A, the current drawn by 7 Ω connected at port B is (a) 3/7 A (b) 5/7 A (c) 1 A (d) 9/7 A

Q.102 If and in the bridge circuit shown in the figure, then the reading in the ideal voltmeter connected between a and b is

(a) 0.238 V (b) 0.138 V (c) -0.238 V (d) 1 V

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