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The Accuracy Comparison of Oscilloscope and Voltmeter Utilizated in Getting Dielectric Constant Values
Proceeding The 1st IBSC: Towards The Extended Use Of Basic Science For Enhancing Health, Environment, Energy And Biotechnology 211 ISBN: 978-602-60569-5-5 The Accuracy Comparison of Oscilloscope and Voltmeter Utilizated in Getting Dielectric Constant Values Bowo Eko Cahyono1, Misto1, Rofiatun1 1 Physics Departement of MIPA Faculty, Jember University, Jember – Indonesia, e-mail: [email protected] Abstract— Parallel plate capacitor is widely used as a sensor for many purposes. Researches which have used parallel plate capacitor were investigation of dielectric properties of soil in various temperature [1], characterization if cement’s dielectric [2], and measuring the dielectric constant of material in various thickness [3]. In the investigation the changing of dielectric constant, indirect method can be applied to get the dielectric constant number by measuring the voltage of input and output of the utilized circuit [4]. Oscilloscope is able to measure the voltage value although the common tool for that measurement is voltmeter. This research aims to investigate the accuracy of voltage measurement by using oscilloscope and voltmeter which leads to the accuracy of values of dielectric constant. The experiment is carried out by an electric circuit consisting of ceramic capacitor and sensor of parallel plate capacitor, function generator as a current source, oscilloscope, and voltmeters. Sensor of parallel plate capacitor is filled up with cooking oil in various concentrations, and the output voltage of the circuit is measured by using oscilloscope and also voltmeter as well. The resulted voltage values are then applied to the equation to get dielectric constant values. Finally the plot is made for dielectric constant values along the changing of cooking oil concentration. -
Equivalent Resistance
Equivalent Resistance Consider a circuit connected to a current source and a voltmeter as shown in Figure 1. The input to this circuit is the current of the current source and the output is the voltage measured by the voltmeter. Figure 1 Measuring the equivalent resistance of Circuit R. When “Circuit R” consists entirely of resistors, the output of this circuit is proportional to the input. Let’s denote the constant of proportionality as Req. Then VRIoeq= i (1) This is the same equation that we would get by applying Ohm’s law in Figure 2. Figure 2 Interpreting the equivalent circuit. Apparently Circuit R in Figure 1 acts like the single resistor Req in Figure 2. (This observation explains our choice of Req as the name of the constant of proportionality in Equation 1.) The constant Req is called “the equivalent resistance of circuit R as seen looking into the terminals a- b”. This is frequently shortened to “the equivalent resistance of Circuit R” or “the resistance seen looking into a-b”. In some contexts, Req is called the input resistance, the output resistance or the Thevenin resistance (more on this later). Figure 3a illustrates a notation that is sometimes used to indicate Req. This notion indicates that Circuit R is equivalent to a single resistor as shown in Figure 3b. Figure 3 (a) A notion indicating the equivalent resistance and (b) the interpretation of that notation. Figure 1 shows how to calculate or measure the equivalent resistance. We apply a current input, Ii, measure the resulting voltage Vo, and calculate Vo Req = (1) Ii The equivalent resistance can also be measured using and ohmmeter as shown in Figure 4. -
(Ohmmeter). Aims: • Calibrating of a Sensitive Galvanometer for Measuring a Resistance
Exp ( ) Calibrating of a sensitive galvanometer for measuring a resistance (Ohmmeter). Aims: • Calibrating of a sensitive galvanometer for measuring a resistance. The theory When a galvanometer is used as an ohmmeter for measuring an ohmic resistance R, the deviation angle θ of the galvanometer’s coil is directly proportional to the flowing current through the coil and inversely proportional to the value of the resistance. The deviation will reach to the maximum end when the resistance equals to zero or the current has the maximum value. For this reason, the scale will be divide by inversely way in comparison with the ammeter and the voltmeter. The original circuit as shown in Fig(1) consists of a dry cell(E) , rheostat and ammeter (A) are connected in series with small resistor s has the range of 1 omega. The two terminals of “s” are connected in parallel to another combination includes a sensitive galvanometer “G” which has internal resistance “r” and a resistors box “R”, this combination is called the measuring circuit. When the value of R equals zero, and by moving the rheostat in the original circuit, it is possible to set the flowing electric current in measuring the circuit as a maximum value od deviation in the galvanometer. By assigning different values of R, the deviation θ is decreasing with increasing the value of R or by another meaning when the flowing current through the galvanometer decreases. Therefore, the current through the galvanometer is inversely proportional to the value of R according the following Figure 1: Ohmmeter Circuit diagram equation; V=I(R+r) R=V/I-r or R=V/θ-r 1 | P a g e This is a straight-line equation between R and (1/θ) as shown in Fig(2). -
Lab 5 AC Concepts and Measurements II: Capacitors and RC Time-Constant
Sonoma State University Department of Engineering Science Fall 2017 EE110 Laboratory Introduction to Engineering & Laboratory Experience Lab 5 AC Concepts and Measurements II: Capacitors and RC Time-Constant Capacitors Capacitors are devices that can store electric charge similar to a battery (but with major differences). In its simplest form we can think of a capacitor to consist of two metallic plates separated by air or some other insulating material. The capacitance of a capacitor is referred to by C (in units of Farad, F) and indicates the ratio of electric charge Q accumulated on its plates to the voltage V across it (C = Q/V). The unit of electric charge is Coulomb. Therefore: 1 F = 1 Coulomb/1 Volt). Farad is a huge unit and the capacitance of capacitors is usually described in small fractions of a Farad. The capacitance itself is strictly a function of the geometry of the device and the type of insulating material that fills the gap between its plates. For a parallel plate capacitor, with the plate area of A and plate separation of d, C = (ε A)/d, where ε is the permittivity of the material in the gap. The formula is more complicated for cylindrical and other geometries. However, it is clear that the capacitance is large when the area of the plates are large and they are closely spaced. In order to create a large capacitance, we can increase the surface area of the plates by rolling them into cylindrical layers as shown in the diagram above. Note that if the space between plates is filled with air, then C = (ε0 A)/d, where ε0 is the permittivity of free space. -
Capacitance and Dissipation Factor Measurementst from 1 Khz to 10 Mhz " Presenter: A
Capacitance and Dissipation Factor Measurementst from 1 kHz to 10 MHz " Presenter: A. D. Koffman NIST, 220/B162, Gaithersburg, MD 20899 (301) 975-4518 Paper Authors A. D. Koffman, B. C. Waltrip, N. M. Oldham National Institute of Standards and TechnologY: Gaithersburg, MD S. Avramov-Zamurovic U.S. Naval Academy Annapolis, MD Abstract: A measurement technique developed by K. Yokoi et al. at Hewlett-Packard Japan, Ltd. has been duplicated and evaluated at the National Institute of Standards and Technology (NIST) to characterize four-tenninal pair capacitors. The technique is based on an accurate three-terminal measurement made at 1 kHz using a capacitance bridge and wideband single-port measurementsmadebetween30MHzand200 MHz usinga networkanalyzer. The measurement data are fitted to the four-tenninal pair admittance model defmed by R. Cutkosky to compute capacitance and dissipation factor at any frequency up to 10 MHz. Capacitors characterized using this technique will be used as impedance reference standards for a general- purpose digital impedance bridge recently developed at NIST to calibrate inductors and ac resistors. The technique could also lead to a future NIST Special Test for dissipation factor. INTRODUCTION Recent efforts by the Electricity Division at the National Institute of Standards and Technology (NIST) to develop improved impedance comparison methods from 20 Hz to 1 MHz (1)have made it necessary to fmd a means to evaluate the reference impedances used in such comparisons. The impedance-characterization method discussed in this paper is described by Suzuki, et al. (2)and is based on the four-tenninal pair impedance work of Cutkosky (3)and Jones (4,5) The four-terminal pair impedance, Z4tp'of a device is defined as a combination of its real component, R, and its imaginary component, X: Z41p= R+ jX. -
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.002 - Circuits and Electronics Fall 2004 Lab Equipment Handout (Handout F04-009) Prepared by Iahn Cajigas González (EECS '02) Updated by Ben Walker (EECS ’03) in September, 2003 This handout is intended to provide a brief technical overview of the lab instruments which we will be using in 6.002: the oscilloscope, multimeter, function generator, and the protoboard. It incorporates much of the material found in the individual instrument manuals, while including some background information as to how each of the instruments work. The goal of this handout is to serve as a reference of common lab procedures and terminology, while trying to build technical intuition about each instrument's functionality and familiarizing students with their use. Students with previous lab experience might find it helpful to simply skim over the handout and focus only on unfamiliar sections and terminology. THE OSCILLOSCOPE The oscilloscope is an electronic instrument based on the cathode ray tube (CRT) – not unlike the picture tube of a television set – which is capable of generating a graph of an input signal versus a second variable. In most applications the vertical (Y) axis represents voltage and the horizontal (X) axis represents time (although other configurations are possible). Essentially, the oscilloscope consists of four main parts: an electron gun, a time-base generator (that serves as a clock), two sets of deflection plates used to steer the electron beam, and a phosphorescent screen which lights up when struck by electrons. The electron gun, deflection plates, and the phosphorescent screen are all enclosed by a glass envelope which has been sealed and evacuated. -
Using Multimeters
ORESU-G1-77-005 C. 3 Usingmultimeters lVlarine electrorocs boats gPIII I,,",.", I,'59< ~4'pg,g!gg By EdwardKolbe DC voltmeter CommercialFisheries Engineer, OSU Marine ScienceCenter, Newport Most multirnetersare designedfor measuringboth DC and AC voltages. AssistantProfessor of Agricultural Engineering This bulletin concentrates on how to Oregon State University measureDC voltages;procedures for making AC measurementsare similar. First, plug one of the leadsinto the Multimeters measure electrical voltage, negativeterminal, properly called a resistance,and current, For wiring and jack, marked ! or "COM" for troubleshootingon boats,they can be common! . Standard electrical practice extremelyuseful. Applications include: usesthe black wire for the ground, checkingthe continuity of wiring which is usuallythe negativeterminal. locating breaksin opencircuits; testing The other lead usually red, to signify fusesand diodes;measuring battery the "hot" sideof the circuit! goesinto voltageand voltagedrop over wires and the positivejack, marked + !. After eIectricalloads; identifying "hot" and selectingthe proper DC voltagerange groundedwires; locatingshort circuitsor with the selector switch, measure DC smallcurrent leaks;and checking voltageby touchingthe -! lead to the alternator and generator output, negativeterminal or wire and the + ! A multimeter, also called a volt-ohm- lead to the positiveterminaI or wire. milliammeter VOM!, is actually three Selectingthe proper voltagerange is toob in one.It is a voltmetercapable of important. It is achieved -
EE 462G Laboratory #1 Measuring Capacitance
EE 462G Laboratory #1 Measuring Capacitance Drs. A.V. Radun and K.D. Donohue (1/24/07) Revised by Samaneh Esfandiarpour and Dr. David Chen (9/17/2019) Department of Electrical and Computer Engineering University of Kentucky Lexington, KY 40506 I. Instructional Objectives Introduce lab instrumentation with linear circuit elements Introduce lab report format Develop and analyze measurement procedures based on two theoretical models Introduce automated lab measurement and data analysis II. Background A circuit design requires a capacitor. The value of an available capacitor cannot be determined from its markings, so the value must be measured; however a capacitance meter is not available. The only available resources are different valued resistors, a variable frequency signal generator, a digital multi-meter (DMM), and an oscilloscope. Two possible ways of measuring the capacitor’s value are described in the following paragraphs. For this experiment, the student needs to select resistors and frequencies that are convenient and feasible for the required measurements and instrumentation. Be sure to use the digital multi-meter (DMM) to measure and record the actual resistance values used in each measurement procedure. III. Pre-Laboratory Exercise Step Response Model 1. For a series circuit consisting of a voltage source v(t), resistor R, and capacitor C, derive (show all steps) the complete solution for the capacitor voltage vc(t) when the source is a step with amplitude A and the initial capacitor voltage is 0. 2. Assume the source v(t) is a function generator, where the source voltage can only be measured after the 50 Ω internal resistance. -
TI S4 Audio Frequency Test Apparatus.Pdf
TECHNICAL INSTRUCTION S.4 Audio-frequency Test Apparatus BRITISH BROADCASTING , CORPORATION ENGINEERING DlVlSlON - ', : . iv- TECHNICAL INSTRUCTION S.4 Third Issue 1966 instruction S.4 Page reissued May. 1966 CONTENTS Page Section I . Amplifier Detector AD14 . 1.1 Section 2 . Variable Attenuator AT119 . Section 3 . Wheatstone Bridge BG/I . Section 4 . Calibration IJnit CALI1 . Section 5. Harmonic Routine Tester FHP/3 . Section 6 . 0.B. Testing Unit 0BT/2 . Section . 7 . Fixed-frequency Oscillators OS/9. OS/ 10. OS/ IOA . Section 8 . Variable-frequency Oscillators TS/5 .. TS/7 . 1' . TS/8 . TS/9 . TS/ 10. TS/ 1OP . Section 9 . Portable Oscillators PTS/9 . PTS/IO . ... PTS/12 . PTS/13 . PTS/l5 .... PTS/l6 .... Appendix . The Zero Phase-shift Oscillator with Wien-bridge Control Section 10. Transmission Measuring Set TM/I . Section 1 I . Peak Programme Meter Amplifiers PPM/2 ..... PPM/6 . TPM/3 . Section 12 Valve Test Panels VT/4. VT/5 "d . Section 13. Microphone Cable Tester MCT/I . Section 14 . Aural Sensitivity Networks ASN/3. ASN/4 Section 15 . Portable Amplifier Detector PAD19 . Section 16. Portable Intermodulation Tester PIT11 Section 17. A.C. Test Meters ATM/I. ATM/IP . Section 18 . Routine Line Testers RLT/I. RLT/IP . Section 19. Standard Level Panel SLP/3 . Section 20 . A.C. Test Bay AC/55 . Section 21 . Fixed-frequency Oscillators: OS2 Series Standard Level Meter ME1611 . INSTRUCTION S.4 Page reissued May 1966 ... CIRCUIT DIAGRAMS AT END Fig. 1. Amplifier Detector AD14 Fig. 2. Wheatstone Bridge BG/1 Fig. 3. Harmonic Routine Tester FHP/3 Fig. 4. Oscillator OS/9 Fig. -
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. -
Capacitance Meter MUDIT AGARWAL
Capacitance Meter MUDIT AGARWAL Nasiha Ali The principle of operating is counting the pulse oscillator during a fixed time interval produced by another lower frequency oscillator. This oscillator uses the capacitor being measured as the timing element. The capacitance measurement is proportional during pulse counting during a fixed time interval. The astable oscillator formed by IC1c K K K K K K K K K K K K K K K K K K K K K 1 1 1 1 1 1 1 9V 1 1 1 1 1 1 1 1 1 1 1 1 1 1 + + 9V produces a pulse train of constant frequency. Gate 13 12 11 10 9 15 14 3 3 13 12 11 10 9 15 14 13 12 11 10 9 15 14 3 IC4 IC5 IC6 4 4 8 8 4 IC1a also form oscillator whose oscillation period 4511 4511 8 4511 16 5 6 2 1 7 16 16 5 6 2 1 7 6 2 1 7 5 is given approximately by the equation: T=0.7RC. 1C1c Period T is linearly dependent on the capacitance 4093 9 6 5 4 3 2 14131211 10 8 6 5 4 3 16 2 IC2 IC3 10 1 1 C. This period is used as the time interval for one 4518 4518 8 9 7 15 7 15 9 1.5M measurement. The differentiator network following 2K C1 the oscillator creates the negative spikes shaped in 1C1a 9V + 220pf 4093 14 K 1 5 1 9 3 4 R K narrow pulses by IC1b NAND Schmitt trigger. -
LCR Meter PCE-UT 603
www.pce-industrial-needs.com Tursdale Technical Services Ltd Unit N12B Tursdale Business Park Co. Durham DH6 5PG United Kingdom Phone: +44 ( 0 ) 191 377 3398 Fax: +44 ( 0 ) 191 377 3357 [email protected] http://www.industrial-needs.com/ Manual LCR Meter PCE-UT 603 [email protected] Table of contents Overview .................................................................................................................................................. 3 Safety Information ................................................................................................................................... 3 Rules for Safe Operation .......................................................................................................................... 3 International Electrical Symbols .............................................................................................................. 4 The Meter Structure ................................................................................................................................. 4 Functional Buttons ................................................................................................................................... 5 Display Symbols ...................................................................................................................................... 5 Measurement Operation ........................................................................................................................... 6 A. Measuring