15. Transistor Amplifier Design and Measurement
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Run Capacitor Info-98582
Run Cap Quiz-98582_Layout 1 4/16/15 10:26 AM Page 1 ® Run Capacitor Info WHAT IS A CAPACITOR? Very simply, a capacitor is a device that stores and discharges electrons. While you may hear capacitors referred to by a variety of names (condenser, run, start, oil, etc.) all capacitors are comprised of two or more metallic plates separated by an insulating material called a dielectric. PLATE 1 PLATE 2 A very simple capacitor can be made with two plates separated by a dielectric, in this PLATE 1 PLATE 2 case air, and connected to a source of DC current, a battery. Electrons will flow away from plate 1 and collect on plate 2, leaving it with an abundance of electrons, or a “charge”. Since current from a battery only flows one way, the capacitor plate will stay BATTERY + – charged this way unless something causes current flow. If we were to short across the plates with a screwdriver, the resulting spark would indicate the electrons “jumping” from plate 2 to plate 1 in an attempt to equalize. As soon as the screwdriver is removed, plate 2 will again collect a PLATE 1 PLATE 2 charge. + BATTERY – Now let’s connect our simple capacitor to a source of AC current and in series with the windings of an electric motor. Since AC current alternates, first one PLATE 1 PLATE 2 MOTOR plate, then the other would be charged and discharged in turn. First plate 1 is charged, then as the current reverses, a rush of electrons flow from plate 1 to plate 2 through the motor windings. -
EXPERIMENT 4: RC, RL and RD Circuits
Laboratory 4: The RC Circuit EXPERIMENT 4: RC, RL and RD CIRCUITs Equipment List An assortment of resistor, one each of (330, 1k,1.5k, 10k,100k,1000k) Function Generator Oscilloscope 0.F Ceramic Capacitor 100H Inductor LED and 1N4001 Diode. Introduction We have studied D.C. circuits with resistors and batteries and discovered that Ohm’s Law governs the relationship between current through and voltage across a resistance. It is a linear response; i.e., 푉 = 퐼푅 (1) Such circuit elements are called passive elements. With A.C. circuits we find other passive elements called capacitors and inductors. These, too, obey Ohm’s Law and circuit loop problems can be solved using Kirchoff’ 3 Laws in much the same way as with DC. circuits. However, there is one major difference - in an AC. circuit, voltage across and current through a circuit element or branch are not necessarily in phase with one another. We saw an example of this at the end of Experiment 3. In an AC. series circuit the source voltage and current are time dependent such that 푖(푡) = 푖푠sin(휔푡) (2) 푣(푡) = 푣푠sin(휔푡 + 휙) where, in this case, voltage leads current by the phase angle , and Vs and Is are the peak source voltage and peak current, respectively. As you know or will learn from the text, the phase relationships between circuit element voltages and series current are these: resistor - voltage and current are in phase implying that 휙 = 0 휋 capacitor - voltage lags current by 90o implying that 휙 = − 2 inductor - voltage leads current by 90o implying that 휙 = 휋/2 Laboratory 4: The RC Circuit In this experiment we will study a circuit with a resistor and a capacitor in m. -
Chapter 7: AC Transistor Amplifiers
Chapter 7: Transistors, part 2 Chapter 7: AC Transistor Amplifiers The transistor amplifiers that we studied in the last chapter have some serious problems for use in AC signals. Their most serious shortcoming is that there is a “dead region” where small signals do not turn on the transistor. So, if your signal is smaller than 0.6 V, or if it is negative, the transistor does not conduct and the amplifier does not work. Design goals for an AC amplifier Before moving on to making a better AC amplifier, let’s define some useful terms. We define the output range to be the range of possible output voltages. We refer to the maximum and minimum output voltages as the rail voltages and the output swing is the difference between the rail voltages. The input range is the range of input voltages that produce outputs which are not at either rail voltage. Our goal in designing an AC amplifier is to get an input range and output range which is symmetric around zero and ensure that there is not a dead region. To do this we need make sure that the transistor is in conduction for all of our input range. How does this work? We do it by adding an offset voltage to the input to make sure the voltage presented to the transistor’s base with no input signal, the resting or quiescent voltage , is well above ground. In lab 6, the function generator provided the offset, in this chapter we will show how to design an amplifier which provides its own offset. -
Unit-1 Mphycc-7 Ujt
UNIT-1 MPHYCC-7 UJT The Unijunction Transistor or UJT for short, is another solid state three terminal device that can be used in gate pulse, timing circuits and trigger generator applications to switch and control either thyristors and triac’s for AC power control type applications. Like diodes, unijunction transistors are constructed from separate P-type and N-type semiconductor materials forming a single (hence its name Uni-Junction) PN-junction within the main conducting N-type channel of the device. Although the Unijunction Transistor has the name of a transistor, its switching characteristics are very different from those of a conventional bipolar or field effect transistor as it can not be used to amplify a signal but instead is used as a ON-OFF switching transistor. UJT’s have unidirectional conductivity and negative impedance characteristics acting more like a variable voltage divider during breakdown. Like N-channel FET’s, the UJT consists of a single solid piece of N-type semiconductor material forming the main current carrying channel with its two outer connections marked as Base 2 ( B2 ) and Base 1 ( B1 ). The third connection, confusingly marked as the Emitter ( E ) is located along the channel. The emitter terminal is represented by an arrow pointing from the P-type emitter to the N-type base. The Emitter rectifying p-n junction of the unijunction transistor is formed by fusing the P-type material into the N-type silicon channel. However, P-channel UJT’s with an N- type Emitter terminal are also available but these are little used. -
Switched-Capacitor Circuits
Switched-Capacitor Circuits David Johns and Ken Martin University of Toronto ([email protected]) ([email protected]) University of Toronto 1 of 60 © D. Johns, K. Martin, 1997 Basic Building Blocks Opamps • Ideal opamps usually assumed. • Important non-idealities — dc gain: sets the accuracy of charge transfer, hence, transfer-function accuracy. — unity-gain freq, phase margin & slew-rate: sets the max clocking frequency. A general rule is that unity-gain freq should be 5 times (or more) higher than the clock-freq. — dc offset: Can create dc offset at output. Circuit techniques to combat this which also reduce 1/f noise. University of Toronto 2 of 60 © D. Johns, K. Martin, 1997 Basic Building Blocks Double-Poly Capacitors metal C1 metal poly1 Cp1 thin oxide bottom plate C1 poly2 Cp2 thick oxide C p1 Cp2 (substrate - ac ground) cross-section view equivalent circuit • Substantial parasitics with large bottom plate capacitance (20 percent of C1) • Also, metal-metal capacitors are used but have even larger parasitic capacitances. University of Toronto 3 of 60 © D. Johns, K. Martin, 1997 Basic Building Blocks Switches I I Symbol n-channel v1 v2 v1 v2 I transmission I I gate v1 v p-channel v 2 1 v2 I • Mosfet switches are good switches. — off-resistance near G: range — on-resistance in 100: to 5k: range (depends on transistor sizing) • However, have non-linear parasitic capacitances. University of Toronto 4 of 60 © D. Johns, K. Martin, 1997 Basic Building Blocks Non-Overlapping Clocks I1 T Von I I1 Voff n – 2 n – 1 n n + 1 tTe delay 1 I fs { --- delay V 2 T on I Voff 2 n – 32e n – 12e n + 12e tTe • Non-overlapping clocks — both clocks are never on at same time • Needed to ensure charge is not inadvertently lost. -
Power Electronics
Diodes and Transistors Semiconductors • Semiconductor devices are made of alternating layers of positively doped material (P) and negatively doped material (N). • Diodes are PN or NP, BJTs are PNP or NPN, IGBTs are PNPN. Other devices are more complex Diodes • A diode is a device which allows flow in one direction but not the other. • When conducting, the diodes create a voltage drop, kind of acting like a resistor • There are three main types of power diodes – Power Diode – Fast recovery diode – Schottky Diodes Power Diodes • Max properties: 1500V, 400A, 1kHz • Forward voltage drop of 0.7 V when on Diode circuit voltage measurements: (a) Forward biased. (b) Reverse biased. Fast Recovery Diodes • Max properties: similar to regular power diodes but recover time as low as 50ns • The following is a graph of a diode’s recovery time. trr is shorter for fast recovery diodes Schottky Diodes • Max properties: 400V, 400A • Very fast recovery time • Lower voltage drop when conducting than regular diodes • Ideal for high current low voltage applications Current vs Voltage Characteristics • All diodes have two main weaknesses – Leakage current when the diode is off. This is power loss – Voltage drop when the diode is conducting. This is directly converted to heat, i.e. power loss • Other problems to watch for: – Notice the reverse current in the recovery time graph. This can be limited through certain circuits. Ways Around Maximum Properties • To overcome maximum voltage, we can use the diodes in series. Here is a voltage sharing circuit • To overcome maximum current, we can use the diodes in parallel. -
KVL Example Resistor Voltage Divider • Consider a Series of Resistors And
KVL Example Resistor Voltage Divider • Consider a series of resistors and a voltage source • Then using KVL V −V1 −V2 = 0 • Since by Ohm’s law V1 = I1R1 V2 = I1R2 • Then V − I1R1 − I1R2 = V − I1()R1 + R2 = 0 • Thus V 5 I1 = = = 1 mA R1 + R2 2000 + 3000 • i.e. get the resistors in series formula Rtotal = R1 + R2 = 5 KΩ KVL Example Resistor Voltage Divider Continued • What is the voltage across each resistor • Now we can relate V1 and V2 to the applied V • With the substitution V I 1 = R1 + R 2 • Thus V1 VR1 5(2000) V1 = I1R1 = = = 2 V R1 + R2 2000 + 3000 • Similarly for the V2 VR2 5(3000) V1 = I1R2 = = = 3V R1 + R2 2000 + 3000 General Resistor Voltage Divider • Consider a long series of resistors and a voltage source • Then using KVL or series resistance get N V V = I1∑ R j KorKI1 = N j=1 ∑ R j j=1 • The general voltage Vk across resistor Rk is VRk Vk = I1Rk = N ∑ R j j=1 • Note important assumption: current is the same in all Rj Usefulness of Resistor Voltage Divider • A voltage divider can generate several voltages from a fixed source • Common circuits (eg IC’s) have one supply voltage • Use voltage dividers to create other values at low cost/complexity • Eg. Need different supply voltages for many transistors • Eg. Common computer outputs 5V (called TTL) • But modern chips (CMOS) are lower voltage (eg. 2.5 or 1.8V) • Quick interface – use a voltage divider on computer output • Gives desired input to the chip Variable Voltage and Resistor Voltage Divider • If have one fixed and one variable resistor (rheostat) • Changing variable resistor controls out Voltage across rheostat • Simple power supplies use this • Warning: ideally no additional loads can be applied. -
Kirchhoff's Laws in Dynamic Circuits
Kirchhoff’s Laws in Dynamic Circuits Dynamic circuits are circuits that contain capacitors and inductors. Later we will learn to analyze some dynamic circuits by writing and solving differential equations. In these notes, we consider some simpler examples that can be solved using only Kirchhoff’s laws and the element equations of the capacitor and the inductor. Example 1: Consider this circuit Additionally, we are given the following representations of the voltage source voltage and one of the resistor voltages: ⎧⎧10 V fortt<< 0 2 V for 0 vvs ==⎨⎨and 1 −5t ⎩⎩20 V forte>+ 0 8 4 V fort> 0 We wish to express the capacitor current, i 2 , as a function of time, t. Plan: First, apply Kirchhoff’s voltage law (KVL) to the loop consisting of the source, resistor R1 and the capacitor to determine the capacitor voltage, v 2 , as a function of time, t. Next, use the element equation of the capacitor to determine the capacitor current as a function of time, t. Solution: Apply Kirchhoff’s voltage law (KVL) to the loop consisting of the source, resistor R1 and the capacitor to write ⎧ 8 V fort < 0 vvv12+−=ss0 ⇒ v2 =−= vv 1⎨ −5t ⎩16− 8et V for> 0 Use the element equation of the capacitor to write ⎧ 0 A fort < 0 dv22 dv ⎪ ⎧ 0 A fort < 0 iC2 ==0.025 =⎨⎨d −5t =−5t dt dt ⎪0.025() 16−> 8et for 0 ⎩1et A for> 0 ⎩ dt 1 Example 2: Consider this circuit where the resistor currents are given by ⎧⎧0.8 A fortt<< 0 0 A for 0 ii13==⎨⎨−−22ttand ⎩⎩0.8et−> 0.8 A for 0 −0.8 e A fort> 0 Express the inductor voltage, v 2 , as a function of time, t. -
What Is a Neutral Earthing Resistor?
Fact Sheet What is a Neutral Earthing Resistor? The earthing system plays a very important role in an electrical network. For network operators and end users, avoiding damage to equipment, providing a safe operating environment for personnel and continuity of supply are major drivers behind implementing reliable fault mitigation schemes. What is a Neutral Earthing Resistor? A widely utilised approach to managing fault currents is the installation of neutral earthing resistors (NERs). NERs, sometimes called Neutral Grounding Resistors, are used in an AC distribution networks to limit transient overvoltages that flow through the neutral point of a transformer or generator to a safe value during a fault event. Generally connected between ground and neutral of transformers, NERs reduce the fault currents to a maximum pre-determined value that avoids a network shutdown and damage to equipment, yet allows sufficient flow of fault current to activate protection devices to locate and clear the fault. NERs must absorb and dissipate a huge amount of energy for the duration of the fault event without exceeding temperature limitations as defined in IEEE32 standards. Therefore the design and selection of an NER is highly important to ensure equipment and personnel safety as well as continuity of supply. Power Transformer Motor Supply NER Fault Current Neutral Earthin Resistor Nov 2015 Page 1 Fact Sheet The importance of neutral grounding Fault current and transient over-voltage events can be costly in terms of network availability, equipment costs and compromised safety. Interruption of electricity supply, considerable damage to equipment at the fault point, premature ageing of equipment at other points on the system and a heightened safety risk to personnel are all possible consequences of fault situations. -
Cascode Amplifiers by Dennis L. Feucht Two-Transistor Combinations
Cascode Amplifiers by Dennis L. Feucht Two-transistor combinations, such as the Darlington configuration, provide advantages over single-transistor amplifier stages. Another two-transistor combination in the analog designer's circuit library combines a common-emitter (CE) input configuration with a common-base (CB) output. This article presents the design equations for the basic cascode amplifier and then offers other useful variations. (FETs instead of BJTs can also be used to form cascode amplifiers.) Together, the two transistors overcome some of the performance limitations of either the CE or CB configurations. Basic Cascode Stage The basic cascode amplifier consists of an input common-emitter (CE) configuration driving an output common-base (CB), as shown above. The voltage gain is, by the transresistance method, the ratio of the resistance across which the output voltage is developed by the common input-output loop current over the resistance across which the input voltage generates that current, modified by the α current losses in the transistors: v R A = out = −α ⋅α ⋅ L v 1 2 β + + + vin RB /( 1 1) re1 RE where re1 is Q1 dynamic emitter resistance. This gain is identical for a CE amplifier except for the additional α2 loss of Q2. The advantage of the cascode is that when the output resistance, ro, of Q2 is included, the CB incremental output resistance is higher than for the CE. For a bipolar junction transistor (BJT), this may be insignificant at low frequencies. The CB isolates the collector-base capacitance, Cbc (or Cµ of the hybrid-π BJT model), from the input by returning it to a dynamic ground at VB. -
Capacitive Voltage Transformers: Transient Overreach Concerns and Solutions for Distance Relaying
Capacitive Voltage Transformers: Transient Overreach Concerns and Solutions for Distance Relaying Daqing Hou and Jeff Roberts Schweitzer Engineering Laboratories, Inc. Revised edition released October 2010 Previously presented at the 1996 Canadian Conference on Electrical and Computer Engineering, May 1996, 50th Annual Georgia Tech Protective Relaying Conference, May 1996, and 49th Annual Conference for Protective Relay Engineers, April 1996 Previous revised edition released July 2000 Originally presented at the 22nd Annual Western Protective Relay Conference, October 1995 CAPACITIVE VOLTAGE TRANSFORMERS: TRANSIENT OVERREACH CONCERNS AND SOLUTIONS FOR DISTANCE RELAYING Daqing Hou and Jeff Roberts Schweitzer Engineering Laboratories, Inc. Pullman, W A USA ABSTRACT Capacitive Voltage Transformers (CVTs) are common in high-voltage transmission line applications. These same applications require fast, yet secure protection. However, as the requirement for faster protective relays grows, so does the concern over the poor transient response of some CVTs for certain system conditions. Solid-state and microprocessor relays can respond to a CVT transient due to their high operating speed and iflCreased sensitivity .This paper discusses CVT models whose purpose is to identify which major CVT components contribute to the CVT transient. Some surprises include a recom- mendation for CVT burden and the type offerroresonant-suppression circuit that gives the least CVT transient. This paper also reviews how the System Impedance Ratio (SIR) affects the CVT transient response. The higher the SIR, the worse the CVT transient for a given CVT . Finally, this paper discusses improvements in relaying logic. The new method of detecting CVT transients is more precise than past detection methods and does not penalize distance protection speed for close-in faults. -
Notes for Lab 1 (Bipolar (Junction) Transistor Lab)
ECE 327: Electronic Devices and Circuits Laboratory I Notes for Lab 1 (Bipolar (Junction) Transistor Lab) 1. Introduce bipolar junction transistors • “Transistor man” (from The Art of Electronics (2nd edition) by Horowitz and Hill) – Transistors are not “switches” – Base–emitter diode current sets collector–emitter resistance – Transistors are “dynamic resistors” (i.e., “transfer resistor”) – Act like closed switch in “saturation” mode – Act like open switch in “cutoff” mode – Act like current amplifier in “active” mode • Active-mode BJT model – Collector resistance is dynamically set so that collector current is β times base current – β is assumed to be very high (β ≈ 100–200 in this laboratory) – Under most conditions, base current is negligible, so collector and emitter current are equal – β ≈ hfe ≈ hFE – Good designs only depend on β being large – The active-mode model: ∗ Assumptions: · Must have vEC > 0.2 V (otherwise, in saturation) · Must have very low input impedance compared to βRE ∗ Consequences: · iB ≈ 0 · vE = vB ± 0.7 V · iC ≈ iE – Typically, use base and emitter voltages to find emitter current. Finish analysis by setting collector current equal to emitter current. • Symbols – Arrow represents base–emitter diode (i.e., emitter always has arrow) – npn transistor: Base–emitter diode is “not pointing in” – pnp transistor: Emitter–base diode “points in proudly” – See part pin-outs for easy wiring key • “Common” configurations: hold one terminal constant, vary a second, and use the third as output – common-collector ties collector