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A History of Impedance Measurements
A History of Impedance Measurements by Henry P. Hall Preface 2 Scope 2 Acknowledgements 2 Part I. The Early Experimenters 1775-1915 3 1.1 Earliest Measurements, Dc Resistance 3 1.2 Dc to Ac, Capacitance and Inductance Measurements 6 1.3 An Abundance of Bridges 10 References, Part I 14 Part II. The First Commercial Instruments 1900-1945 16 2.1 Comment: Putting it All Together 16 2.2 Early Dc Bridges 16 2.3 Other Early Dc Instruments 20 2.4 Early Ac Bridges 21 2.5 Other Early Ac Instruments 25 References Part II 26 Part III. Electronics Comes of Age 1946-1965 28 3.1 Comment: The Post-War Boom 28 3.2 General Purpose, “RLC” or “Universal” Bridges 28 3.3 Dc Bridges 30 3.4 Precision Ac Bridges: The Transformer Ratio-Arm Bridge 32 3.5 RF Bridges 37 3.6 Special Purpose Bridges 38 3,7 Impedance Meters 39 3.8 Impedance Comparators 40 3.9 Electronics in Instruments 42 References Part III 44 Part IV. The Digital Era 1966-Present 47 4.1 Comment: Measurements in the Digital Age 47 4.2 Digital Dc Meters 47 4.3 Ac Digital Meters 48 4.4 Automatic Ac Bridges 50 4.5 Computer-Bridge Systems 52 4.6 Computers in Meters and Bridges 52 4.7 Computing Impedance Meters 53 4.8 Instruments in Use Today 55 4.9 A Long Way from Ohm 57 References Part IV 59 Appendices: A. A Transformer Equivalent Circuit 60 B. LRC or Universal Bridges 61 C. Microprocessor-Base Impedance Meters 62 A HISTORY OF IMPEDANCE MEASUREMENTS PART I. -
Electrical Measurements
ELECTRICAL MEASUREMENTS GEETHANJALI COLLEGE OF ENGINEERING AND TECHNOLOGY DEPARTMENT OF EEE Name of the Subject : Electrical Measurements JNTU CODE : 56009 Programme : UG / PG Branch: Electrical & Electronics Engineering Version No : Year: III Updated on :27/12/2014 Semester: II No. of pages : Classification status (Unrestricted / Restricted ) Distribution List : Prepared by : 1) Name : K.Mahender 1) Name : 2) Sign : 2) Sign : 3) Design : Associate Professor 3) Design : 4) Date : 27/12/2014 4) Date : Verified by : 1) Name : * For Q.C Only. 2) Sign : 1) Name : 3) Design : 2) Sign : 4) Date : 3) Design : 4) Date : Approved by : (HOD ) 1) Name : Dr. S.Radhika 2) Sign : 3) Date : SYLLABUS JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY, HYDERABAD III Year B.Tech EEE II-Semester T P C 4+1 *0 4 Unit -I Classification of measuring instruments-deflecting, controlling and damping systems, ammeters and voltmeters, PMMC,MI and MC instruments, Expression for the deflecting torque and control torque. Expression for the deflecting torque and control torque, Errors and compensation and extension of range using shunts and series resistance, Electrostatic voltmeters-electrometer type and attracted disc type. Extension of range of electrostatic voltmeters Unit-II Introduction to CT & PT- Design considerations, Ratio and phase angle errors, Types of P.F meters-dynamometer and moving iron type, I ph and 3 ph meters, Frequency meters- resonance type and Weston type, Synchroscopes Unit-III Single phase dynamometer wattmeter-LPF & UPF, Double element and three element dynamometer wattmeter, Expression for deflecting and controlling torques and extension of range of wattmeter using instrument transformers, Measurement of active in balanced systems, Measurement of reactive powers in unbalanced systems. -
Electrical Measurements Unit-I Measurement of Voltage and Current 1
ELECTRICAL MEASUREMENTS UNIT-I MEASUREMENT OF VOLTAGE AND CURRENT 1. What is meant by galvanometer? An instrument for detecting and measuring small electric current it is also called as galvanometer. 2. What is the Use of galvanometer in measurement system? Galvanometer is used as null detector (or) zero-current detector in bridge circuit and potentiometer measurement. 3. What are the different types of galvanometer? D’Arsonval galvanometer Vibration galvanometer Ballistic galvanometer Flux meter 4. What are the following methods are adopted calibrating the galvanometer? Use of charged capacitor Use of a standard solenoid Use of a mutual inductor 5. What is meant by vibration galvanometer? Vibration galvanometer is a tuned detector and as such, it is very sensitive to Changes of frequency. 6. Differentiate between ammeter and voltmeter. S. No Ammeter Voltmeter 1 It is a current measuring device It is a Voltage measuring device which which measures current through measures potential difference between the circuit. two points of a circuit. 2 Always connected in series with Always connected in Parallel with the circuit. circuit. 3 The resistance is very very The resistance is very very high small 4 Deflecting torque is produced by Deflecting torque is produced by current current to be measured directly which is proportional to the voltage to be measured 7. What is meant by measurement? Measurement is an act or the result of comparison between the quantity and a predefined standard. 8. Mention the basic requirements of measurement. The standard used for comparison purpose must be accurately defined and should be commonly accepted.The apparatus used and the method adopted must be provable. -
2102311 Electrical Measurement and Instruments (Part II)
2102311 Electrical Measurement and Instruments (Part II) ¾ Bridge Circuits (DC and AC) ¾ Electronic Instruments (Analog & Digital) ¾ Signal Generators ¾ Frequency and Time Interval Measurements ¾ Introduction to Transducers อาภรณ ธีรมงคลรศมั ี ตึกไฟฟา 6 ชนั้ หอง 306 Textbook: -A.D. Helfrick, and W.D. Cooper, “Modern Electronic Instrumentation and Measurement Techniques” Prentice Hall, 1994. - D.A. Bell, “Electronic Instrumentation and Measurements”, 2nd ed., Prentice Hell, 1994. ResistorResistor TypesTypes Importance parameters Value Tolerance Power rating Temperature coefficient Type Values (Ω) Power rating Tolerance (%) Temperature picture (W) coefficient (ppm/°C) Wire wound 10m~3k (power) 3~1k ±1~±10 ±30~±300 Wire wound (precision) 10m~1M 0.1~1 ±0.005~±1 ±3~±30 Carbon film 1~1M 0.1~3 ±2~±10 ±100~±200 Metal film 100m~1M 0.1~3 ±0.5~±5 ±10~±200 Metal film (precision) 10m~100k 0.1~1 ±0.05~±5 ±0.4~±10 Metal oxide film 100m~100k 1~10 ±2~±10 ±200~±500 Data: Transistor technology (10/2000) Resistor Values Color codes Resistor Values Alphanumeric 4 band color codes Color Digit Multiplier Tolerance Temperature (%) coefficient (ppm/°C) Most sig. fig. of value Silver 10-2 ±10 K Tolerance - - - Least sig. fig. Multiplier Gold 10-1 J of value ±5 Ex. Black 0 100 - - ±250 K Brown 1 101 ±1 F ±100 H Red 2 102 ±2 G ±50 G Green 3 Red Orange 3 10 - ±15 D Blue Brown - Yellow 4 104 - ±25 F R = 560 Ω ±2% Green 5 5 D E 10 ±0.5 ±20 Alphanumeric Blue 6 106 ±0.25 C ±10 C Violet 7 107 ±0.1 B ±5 B R, K, M, G, and T = 0 3 6 9 12 Gray 8 108 - ±1 A x10 , x10 , x10 , x10 , and x10 - White 9 109 - Ex. -
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD (Established by State Act No
JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD (Established by State Act No. 30 of 2008) Kukatpally, Hyderabad, Telangana (India). ACADEMIC REGULATIONS FOR B.TECH. REGULAR STUDENTS WITH EFFECT FROM ACADEMIC YEAR 2016-17 (R-16) 1.0 Under-Graduate Degree Programme in Engineering & Technology (UGP in E&T) 1.1 JNTUH offers a 4-year (8 semesters) Bachelor of Technology (B.Tech.) degree programme, under Choice Based Credit System (CBCS) at its non-autonomous constituent and affiliated colleges with effect from the academic year 2016-17 in the following branches of Engineering: Branch Civil Engineering Electrical and Electronics Engineering Mechanical Engineering Electronics and Communication Engineering Computer Science and Engineering Chemical Engineering Electronics and Instrumentation Engineering Bio-Medical Engineering Information Technology Mechanical Engineering (Mechatronics) Electronics and Telematics Engineering Metallurgy and Material Technology Electronics and Computer Engineering Mechanical Engineering (Production) Aeronautical Engineering Instrumentation and Control Engineering Biotechnology Automobile Engineering Mining Engineering Petroleum Engineering Civil and Environmental Engineering Mechanical Engineering (Nano Technology) Computer Science & Technology Pharmaceutical Engineering 1 2.0 Eligibility for admission 2.1 Admission to the under graduate programme shall be made either on the basis of the merit rank obtained by the qualified student in entrance test conducted by the Telangana State Government (EAMCET) or the University or on the basis of any other order of merit approved by the University, subject to reservations as prescribed by the government from time to time. 2.2 The medium of instructions for the entire under graduate programme in E&T will be English only. 3.0 B.Tech. Programme structure 3.1 A student after securing admission shall pursue the under graduate programme in B.Tech. -
Wheatstone Bridge (Varying Resistance to Null Bridge) • Current Balance Bridge (Varying Current to Null Bridge) • Kelvin Bridge (Measurement of Low Resistance)
CHAPTER 5 BRIDGES AND THEIR APPLICATION Resistance Measurements 1 Dr. Wael Salah RESISTANCE MEASUREMENTS Conventional Ways of Measuring Resistance:- 1) Using a Ohmmeter – Convenient but inaccurate, requires calibration prior to measurement. 2) Using the Ammeter and Voltmeter method -i.e. by measuring the current and voltage across the unknown resistance, then calculating the value of the resistance using Ohms Law. This method not only requires calibration prior to measurement, it also introduces error by adding the ammeter and voltmeter elements into the measurement. 3) Bridge Circuits Measuring Resistance; to be introduced in this chapter. 2 Dr. Wael Salah RESISTANCE MEASUREMENTS The voltmeter measures the voltage E across the resistor R, but the ammeter indicates the resistor current I plus the voltmeter current Iv. E A R I IV V 3 Dr. Wael Salah RESISTANCE MEASUREMENTS In this configuration, the ammeter is directly in series with resistor R. In this case the voltmeter indicates the resistor voltage E plus the ammeter voltage drop EA. E E A R A I V E 4 Dr. Wael Salah BRIDGE CIRCUITS Bridge circuits, which are instruments for making comparative measurements, are widely used to measure resistance, inductance, and capacitance Bridge circuits operate on a null-indication principle, which means the measurement is independent of calibration, this makes the measurement device very accurate. Bridge circuits are also frequently used in control circuits. When used in such applications, one arm of the bridge should contains a resistive element that is sensitive to the physical parameter (Such as: temperature, pressure, etc.) being controlled. 5 Dr. Wael Salah BRIDGE CIRCUITS: ADVANTAGES & DISADVANTAGES Advantages of the bridges: Most accurate types of measurement devices. -
Bridge Measurement
2 Bridge Measurement 2.1 INTRODUCTION Bridges are often used for the precision measurement of component values, like resistance, inductance, capacitance, etc. The simplest form of a bridge circuit consists of a network of four resistance arms forming a closed circuit as shown in Fig. 2.1. A source of current is applied to two opposite junctions and a current detector is connected to other two junctions. The bridge circuit operates on null detection principle and uses the principle of comparison measurement methods. It compares the value of an unknown component with that of an accurately known standard component. Thus, the accuracy of measurement depends on the bridge and not on the null detector. When no current flows through the null detector, the bridge is said to be balanced. The relationship between the component values of the four arms of the bridge at the balancing is called balancing condition or balancing equation. Balancing equation gives up the value of the unknown component. Fig. 2.1 General form of a bridge circuit 2.1.1 Advantages of Bridge Circuit The various advantages of a bridge circuit are: 1. The balance equation is independent of the source voltage magnitude and its impedance. Bridge Measurement 53 Wheatstone Bridge under Small Unbalance As discussed in previous section different galvanometers have different current/voltage sensitivities. Hence, in order to determine whether the galvanometer has the required sensitivity to detect an unbalance condition the bridge circuit can be solved for a small unbalance by converting the Wheatstone bridge into its equivalent Thevenin’s circuit. Let us consider the bridge is balanced, when the branch resistances are R1, R2, R3 and RX, so that at balance R R _____1 3 RX = R2 1 Let the resistance RX be changed to DRX creating an unbalance. -
Mepco Schlenk Engineering College, Sivakasi
MEPCO SCHLENK ENGINEERING COLLEGE, SIVAKASI (AUTONOMOUS) AFFILIATED TO ANNA UNIVERSITY, CHENNAI 600 025 REGULATIONS: MEPCO - R2015 (FULL TIME) (CHOICE BASED CREDIT SYSTEM) B. E. ELECTRICAL AND ELECTRONICS ENGINEERING Department Vision Department Mission To Render Services to Meet the Growing To Provide the Students a Rigorous Learning Experience in Global Challenges of Engineering Understanding Industries Basics of Electrical & Electronics Engineering Built on the by Educating Students to become Foundation of Science, Mathematics, Computing, and Exemplary Technology by Emphasizing Professional Electrical and Electronics Active Learning with Strongly Supported Laboratory Engineers of High Ethics Component and Prepare them for Professional Careers UG Programme Educational Objectives (PEOs) I. Preparation: To prepare students to excel in Industry or in Postgraduate Programmes by Educating Students along with High moral values and Knowledge. II. Core Competence: To provide students with the fundamentals of Engineering Sciences with more emphasis in Electrical and Electronics Engineering by way of analyzing and exploiting engineering challenges in disparate systems during their professional career. III. Breadth: To train students with good scientific and engineering breadth so as to comprehend, analyze, design, and create novel products and solutions for the real life problems. IV. Professionalism: To inculcate professional and ethical attitude, effective communication skills, teamwork skills, multidisciplinary approach, entrepreneurial thinking and an ability to relate engineering issues to broader social context in students. V. Learning environment: To provide students with an academic environment aware of excellence, leadership, written ethical codes and guidelines, and the self motivated life-long learning needed for a successful professional career. UG Programme Outcomes (POs) 1. Graduates will demonstrate knowledge of mathematics, science, engineering fundamentals and an engineering specialization to the conceptualization of engineering models. -
EE 33-Measurements and Instrumentation
www.vidyarthiplus.com EE 33-Measurements and Instrumentation UNIT-I-INTRODUCTION CONTENTS Measurement Basic requirements Significance of measurement Methods of measurement Instrument and measurement systems Evolution of instruments Classification of Instruments Types of Instrumentation system Elements of generalized measurement system Functional elements of an instrument Static and dynamic characteristics Errors in measurement Statistical evaluation of measurement data Standards Calibration 1. Measurement: Measurement of a given quantity is essentially an act or result of comparison between the quantity (whose magnitude is unknown) and predetermined or predefined standards. Two quantities are compared the result is expressed in numerical values. www.vidyarthiplus.com www.vidyarthiplus.com EE 33-Measurements and Instrumentation 2. Basic requirements for a meaningful measurement: The standard used for comparison purposes must be accurately defined and should be commonly accepted. The apparatus used and the method adopted must be provable (verifiable). 3. Significance of Measurement Importance of Measurement is simply and eloquently expressed in the following statement of famous physicist Lord Kelvin: ”I often say that when you can measure what you are speaking about and can express it in numbers, you know something about it; when you cannot express in it numbers your knowledge is of meager and unsatisfactory kind” 4. Methods of Measurement Direct Methods Indirect Methods DIRECT METHODS: In these methods, the unknown quantity (called the measurand ) is directly compared against a standard. INDIRECT METHOD: Measurements by direct methods are not always possible, feasible and practicable. In engineering applications measurement systems are used which require need of indirect method for measurement purposes. www.vidyarthiplus.com www.vidyarthiplus.com EE 33-Measurements and Instrumentation 5. -
Op Amps for Everyone
Op Amps For Everyone Ron Mancini, Editor in Chief Design Reference August 2002 Advanced Analog Products SLOD006B IMPORTANT NOTICE Texas Instruments Incorporated and its subsidiaries (TI) reserve the right to make corrections, modifications, enhancements, improvements, and other changes to its products and services at any time and to discontinue any product or service without notice. Customers should obtain the latest relevant information before placing orders and should verify that such information is current and complete. All products are sold subject to TI’s terms and conditions of sale supplied at the time of order acknowledgment. TI warrants performance of its hardware products to the specifications applicable at the time of sale in accordance with TI’s standard warranty. Testing and other quality control techniques are used to the extent TI deems necessary to support this warranty. Except where mandated by government requirements, testing of all parameters of each product is not necessarily performed. TI assumes no liability for applications assistance or customer product design. Customers are responsible for their products and applications using TI components. To minimize the risks associated with customer products and applications, customers should provide adequate design and operating safeguards. TI does not warrant or represent that any license, either express or implied, is granted under any TI patent right, copyright, mask work right, or other TI intellectual property right relating to any combination, machine, or process in which TI products or services are used. Information published by TI regarding third party products or services does not constitute a license from TI to use such products or services or a warranty or endorsement thereof. -
A History of Impedance Measurements
A HISTORY OF IMPEDANCE MEASUREMENTS PART I. THE EARLY EXPERIMENTERS 1775-1915 1.1 Earliest Measurements, DC Resistance It would seem appropriate to credit the first impedance measurements to Georg Simon Ohm (1788-1854) even though others may have some claim. These were dc resistance measurements, not complex impedance, and of necessity they were relative measurements because then there was no unit of resistance or impedance, no Ohm. For his initial measurements he used a voltaic cell, probably having copper and zinc plates, whose voltage varied badly under load. As a result he arrived at an erroneous logarithmic relationship between the current measured and the length of wire, which he published in 18251. After reading this paper, his editor, Poggendorff, suggested that Ohm use the recently discovered Seebeck (thermoelectric) effect to get a more constant voltage. Ohm repeated his measurements using a copper-bismuth thermocouple for a source2. His detector was a torsion galvanometer (invented by Coulomb), a galvanometer whose deflection was offset by the torque of thin wire whose rotation was calibrated (see figure 1-1). He determined "that the force of the current is as the sum of all the tensions, and inversely as the entire length of the current". Using modern notation this becomes I = E/R or E =I*R. This is now known as Ohm's Law. He published this result in 1826 and a book, "The Galvanic Circuit Mathematically Worked Out" in 1827. For over ten years Ohm's work received little attention and, what there was, was unfavorable. Finally it was made popular by Henry in America, Lenz in Russia and Wheatstone in England3. -
PHYSICS COURSE : US01CPHY02 UNIT – 2 : BRIDGES and THEIR APPLICATIONS DC BRIDGES INTRODUCTION Bridges Are Used to Measure the Values of the Electronic Components
PHYSICS COURSE : US01CPHY02 UNIT – 2 : BRIDGES AND THEIR APPLICATIONS DC BRIDGES INTRODUCTION Bridges are used to measure the values of the electronic components. For example a Wheatstone Bridge is used to measure the unknown resistance of a resistor. However they are also used to measure the unknown inductance, capacitance, admittance, conductance or any of the impedance parameters. Besides this bridge circuits are also used in the precision measurements in some circuits and for the interfacing of transducers. Actually nowadays fully automatic bridges which electronically null a bridge to make precision measurements are also used. WHEATSTONE BRIDGE : BASIC OPERATION a I1 I2 R1 R2 E c G d R3 R4 (Unknown) I3 I4 b Fig. (1) • The circuit diagram of Wheatstone Bridge is shown in Fig. (1). The four arms of the bridge ac, ad, cb and db contains the four resistors R 1, R2, R 3 and R 4 respectively. G is a galvanometer or the null detector. E is the source of EMF. 1 • I 1, I 2, I 3 and I 4 are the currents through the resistors R1, R 2, R 3 and R4, respectively. • When the current through galvanometer is zero, at that time terminals c and d are said to be at same potential with respect to point a i.e., Eac = E ad (1) • Hence the currents I1 = I 3 and I 2 = I 4. This is called the balance of the bridge. And for this condition, we can write, I1R1 = I 2R2 (2) Where (3) Iͥ = Iͧ = ΆuͮΆw and (4) Iͦ = Iͨ = ΆvͮΆx • Substituting the values of I 1 and I 2 from equations (3) and (4) into (2), we get Rͥ = Rͦ ΆuͮΆw ΆvͮΆx Άu Άv = ΆuͮΆw ΆvͮΆx therefore, R1(R 2+R 4) = R 2(R 1+R 3) R1R4 = R 2R3 (5) • Equation (5) is called the balance equation(condition) of the bridge.