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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. -
Practical Applications of Maxwell Bridge
Practical Applications Of Maxwell Bridge Autogenous Chevy resort no idolaters sanitised irreconcilably after Sanson dung afar, quite hypostatic. If predicatory or tawdry Lyndon usually lie-in his andbeating tartly. shore overfondly or respray consequently and powerful, how oaken is Rog? Carbonated Nathanial resolving: he jut his Samaritanism impoliticly Fundamentals Of Electromagnetics With Engineering Applications. This pointed the way stay the application of electromagnetic radiation for such. The result is magnificent full-color modern narrative that bridges the various EE and. Presents the introductory theory and applications of Maxwell's equations to. Ii The weakening of springs due to frequent usage and temperature effects. Wheatstone Bridge Circuit Theory Example and Applications. Diploma Examination Dip IETE. Collaboratives might include proprioception, applications it expecting a practical applications back to practical. Related with Inverse Problems For Maxwell's Equations 349349-file. ACBridges are those circuits which are used to measured the unknown resistances. The first practical application outside of laboratory experiments was confuse the 1950s as a. Computational Electromagnetics Domain Decomposition. If the ultracapacitors within a large scale in assisting persons separated from the use of applications much more than for. Determining the correct Ultracapacitor for the application 4. UNIT II AC Bridge Measurement RGPV. What wood the applications of union bridge circuit Quora. And helps to really the decade between multi-scale and multi-physics and the hands-on. Handbook of Electronics Formulas and Calculations Volume 2. A Practical Instrumentation Amplifier-Based Bridge Circuit 350. ' z 2 rr. 1311 Maxwell's Equations for Static Electric Field 374. EMIR in DC Maxwell School. A practical form of Wheatstone bridge that consequence be used for measuring. -
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. -
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. -
UNIT II AC Bridge Measurement.Pdf
www.jntuworld.com Electronic Measurements & Instrumentation Question & Answers UNIT -6 1. Draw the Maxwell’s Bridge Circuit and derives the expression for the unknown element at balance? Ans: Maxwell's bridge, shown in Fig. 1.1, measures an unknown inductance in of standard arm offers the advantage of compactness and easy shielding. The capacitor is almost a loss-less component. One arm has a resistance R x in parallel with Cu and hence it is easier to write the balance equation using the admittance of arm 1 instead of the impedance. The general equation for bridge balance is From equation of Zx we get Equating real terms and imaginary terms we have Also Maxwell's bridge is limited to the measurement of low Q values (1 -10).The measurement is independent of the excitation frequency. The scale of the resistance can be calibrated to read inductance directly. The Maxwell bridge using a fixed capacitor has the disadvantage that there an interaction between the resistance and reactance balances. This can be avoids: by varying the capacitances, instead of R2 and ft, to obtain a reactance balance. However, the bridge can be made to read directly in Q. The bridge is particularly suited for inductances measurements, since comparison on with a capacitor is more ideal than with another inductance. Commercial bridges measure from 1 – 1000H. With ± 2% error. (If the Q is very becomes excessively large and it is impractical to obtain a satisfactory variable standard resistance in the range of values required). 2. Draw the Wien’s Bridge Circuit and derives the expression for the unknown element at balance? GRIET/ECE 1 www.jntuworld.com www.jntuworld.com Electronic Measurements & Instrumentation Question & Answers Ans: Wien Bridge shown in Fig. -
Bridge Circuits Marrying Gain and Balance
Application Note 43 June 1990 Bridge Circuits Marrying Gain and Balance Jim Williams Bridge circuits are among the most elemental and powerful and stability of the basic configuration. In particular, trans- electrical tools. They are found in measurement, switch- ducer manufacturers are quite adept at adapting the bridge ing, oscillator and transducer circuits. Additionally, bridge to their needs (see Appendix A, “Strain Gauge Bridges”). techniques are broadband, serving from DC to bandwidths Careful matching of the transducer’s mechanical charac- well into the GHz range. The electrical analog of the me- teristics to the bridge’s electrical response can provide a chanical beam balance, they are also the progenitor of all trimmed, calibrated output. Similarly, circuit designers electrical differential techniques. have altered performance by adding active elements (e.g., amplifiers) to the bridge, excitation source or both. Resistance Bridges Figure 1 shows a basic resistor bridge. The circuit is Bridge Output Amplifiers usually credited to Charles Wheatstone, although S. H. A primary concern is the accurate determination of the Christie, who demonstrated it in 1833, almost certainly differential output voltage. In bridges operating at null the preceded him.1 If all resistor values are equal (or the two absolute scale factor of the readout device is normally sides ratios are equal) the differential voltage is zero. The less important than its sensitivity and zero point stability. excitation voltage does not alter this, as it affects both An off-null bridge measurement usually requires a well sides equally. When the bridge is operating off null, the calibrated scale factor readout in addition to zero point excitation’s magnitude sets output sensitivity. -
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. -
Steady-State Analysis of PWM Z-Bridge Source DC-DC Converter
Steady-State Analysis of PWM Z-Bridge Source DC-DC Converter A thesis submitted in the partial fulfillment of the requirements for the degree of Master of Science in Electrical Engineering By Lokesh Kathi B.Tech., Koneru Lakshmaiah University, Guntur, India, 2013 2015 Wright State University WRIGHT STATE UNIVERSITY GRADUATE SCHOOL January 5, 2016 I HEREBY RECOMMEND THAT THE THESIS PREPARED UNDER MY SUPERVISION BY Lokesh Kathi ENTITLED Steady-State Analysis of PWM Z- Bridge Source DC-DC Converter BE ACCEPTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF Master of Science in Electrical Engineering. ‘ Marian K. Kazimierczuk, Ph.D. Thesis Director Brian Rigling, Ph.D. Chair Department of Electrical Engineering College of Engineering and Computer Science Committee on Final Examination Marian K. Kazimierczuk, Ph.D. Yan Zhuang, Ph.D. Lavern Alan Starman, Ph.D. Robert E. W. Fyffe, Ph.D. Vice President for Research and Dean of the Graduate School Abstract Lokesh, Kathi. M.S.E.E., Department of Electrical Engineering, Wright State Uni- versity, 2015. Steady-state analysis of pulse-width modulated (pwm) z-bridge source dc-dc converter. A pwm z-bridge source dc-dc converter has a potential to play a prominent role in renewable energy applications, as it provides boosted and regulated output voltage and also behaves as an intermediate buffer between the source and the load. A complete circuit analysis of the z-bridge source converter is needed to understand the operation of this converter. Steady-state analysis of pulse-width modulated (pwm) z-bridge source dc-dc converter operating in continuous conduction mode (ccm) is given. -
Kelvin's Double Bridge - Medium Resistance: Voltmeter Ammeter Method – Substitution Method - Wheatstone Bridge Method
SIC1203 MEASUREMENTS & INSTRUMENTATION UNIT - III ELECTRONIC MEASUREMENTS PREPARED BY : Dr. G.D.Anbarasi Jebaselvi, Dr. S.Poornapushpakala UNIT 3 MEASUREMENT OF RESISTANCE, INDUCTANCE AND CAPACITANCE Low Resistance: Kelvin's double bridge - Medium Resistance: Voltmeter Ammeter method – Substitution method - Wheatstone bridge method. High Resistance: Megger - Direct deflection method - Megohm bridge method, Loss of Charge method - Earth resistance measurement. Introduction to A.C bridges Sources and Detectors in A.C. bridges. Measurement of Self Inductance: Maxwell's bridge - Hay's bridge, and Anderson's bridge. Measurement of Mutual Inductance: Heaviside M.I bridge - Measurement of Capacitance: Schering's bridge – De Sauty's bridge, Measurement of frequency using Wien's bridge. CLASSIFICATION OF RESISTANCES For the purposes of measurements, the resistances are classified into three major groups based on their numerical range of values as under: • Low resistance (0 to 1 ohm) • Medium resistance (1 to 100 kilo-ohm) and • High resistance (>100 kilo-ohm) Accordingly, the resistances can be measured by various ways, depending on their range of values, as under: 1. Low resistance (0 to 1 ohm): AV Method, Kelvin Double Bridge, potentiometer, doctor ohmmeter, etc. 2. Medium resistance (1 to 100 kilo-ohm): AV method, wheat stone’s bridge, substitution method, etc. 3. High resistance (>100 kilo-ohm): AV method, Fall of potential method, Megger, loss of charge method, substitution method, bridge method, etc. SIC1203 MEASUREMENTS & INSTRUMENTATION UNIT - III ELECTRONIC MEASUREMENTS PREPARED BY : Dr. G.D.Anbarasi Jebaselvi, Dr. S.Poornapushpakala LOW RESISTANCE KELVIN DOUBLE BRIDGE The Kelvin double bridge is one of the best devices available for the precise measurement of low resistances.