Chapter 10. RC Circuits ISU EE. C.Y. Lee

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Chapter 10. RC Circuits ISU EE. C.Y. Lee"

Transcription

1 Chapter 10 RC Circuits

2 Objectives Describe the relationship between current and voltage in an RC circuit Determine impedance and phase angle in a series RC circuit Analyze a series RC circuit Determine the impedance and phase angle in a parallel RC circuit Analyze a parallel RC circuit Analyze series-parallel RC circuits Determine power in RC circuits 2

3 Sinusoidal Response of RC Circuits The capacitor voltage lags the source voltage Capacitance causes a phase shift between voltage and current that depends on the relative values of the resistance and the capacitive reactance 3

4 Impedance and Phase Angle of Series RC Circuits The phase angle is the phase difference between the total current and the source voltage The impedance of a series RC circuit is determined by both the resistance (R) and the capacitive reactance (X C ) (Z C = 1/j C= jx C ) (Z= R+Z C = R jx C ) (Z = R) (Z = jx C ) 4 (Z = R jx C )

5 Impedance and Phase Angle of Series RC Circuits In the series RC circuit, the total impedance is the phasor sum of R and jx C Impedance magnitude: Z = R 2 + X 2 C Phase angle: θ = tan -1 (X C /R) 5

6 Impedance and Phase Angle of Series RC Circuits Example: Determine the impedance and the phase angle Z = (47) 2 + (100) 2 = 110 Ω θ = tan -1 (100/47) = tan -1 (2.13) =

7 Analysis of Series RC Circuits The application of Ohm s law to series RC circuits involves the use of the quantities Z, V, and I as: V = I = Z = IZ V Z V I 7

8 Analysis of Series RC Circuits Example: If the current is 0.2 ma, determine the source voltage and the phase angle X C = 1/2π( )( ) = 15.9 kω Z = ( ) 2 + ( ) 2 = 18.8 kω V S = IZ = (0.2mA)(18.8kΩ) = 3.76 V θ = tan -1 (15.9k/10k) =

9 Relationships of I and V in a Series RC Circuit In a series circuit, the current is the same through both the resistor and the capacitor The resistor voltage is in phase with the current, and the capacitor voltage lags the current by 90 I V R V S V C 9

10 KVL in a Series RC Circuit From KVL, the sum of the voltage drops must equal the applied voltage (V S ) V S I V R V C Since V R and V C are 90 out of phase with each other, they must be added as phasor quantities V R = IR V S = V 2 R + V2 C θ = tan -1 (V C /V R ) V C = I( jx C ) V S = IZ = I(R jx C ) 10

11 KVL in a Series RC Circuit Example: Determine the source voltage and the phase angle V S = (10) 2 + (15) 2 = 18 V θ = tan -1 (15/10) = tan -1 (1.5) =

12 Variation of Impedance and Phase Angle with Frequency For a series RC circuit; as frequency increases: R remains constant X C decreases Z decreases θ decreases f R Z 12

13 Variation of Impedance and Phase Angle with Frequency Example: Determine the impedance and phase angle for each of the following values of frequency: (a) 10 khz (b) 30 khz (a) X C = 1/2π( )( ) = 1.59 kω Z = ( ) 2 + ( ) 2 = 1.88 kω θ = tan -1 (1.59k/1.0k) = 57.8 (b) X C = 1/2π( )( ) = 531 kω Z = ( ) 2 + (531) 2 = 1.13 kω θ = tan -1 (531/1.0k) =

14 Impedance and Phase Angle of Parallel RC Circuits Total impedance in parallel RC circuit: Z = (RX C ) / ( R 2 +X 2 C ) Phase angle between the applied V and the total I: θ = tan -1 (R/X C ) 14 V = + Z R jx C 1 jx C + R = Z R( jx C ) RX C Z = X C + jr RX = IZ = I X C + C jr

15 Conductance, Susceptance and Admittance Conductance is the reciprocal of resistance: G = 1/R Capacitive susceptance is the reciprocal of capacitive reactance: B C = 1/X C Admittance is the reciprocal of impedance: Y = 1/Z 15

16 Ohm s Law Application of Ohm s Law to parallel RC circuits using impedance can be rewritten for admittance (Y=1/Z): V = I Y I =VY Y = I V 16

17 Relationships of the I and V in a Parallel RC Circuit The applied voltage, V S, appears across both the resistive and the capacitive branches Total current, I tot, divides at the junction into the two branch current, I R and I C I C = V/( jx C ) I tot = V/Z = V((X C +jr)/rx C ) I R = V/R V s, V R, V C 17

18 KCL in a Parallel RC Circuit From KCL, Total current (I S ) is the phasor sum of the two branch currents Since I R and I C are 90 out of phase with each other, they must be added as phasor quantities I C = V/( jx C ) I tot = V/Z = V((X C +jr)/rx C ) I tot = I 2 R + I2 C θ = tan -1 (I C /I R ) 18 I R = V/R

19 KCL in a Parallel RC Circuit Example: Determine the value of each current, and describe the phase relationship of each with the source voltage I R = 12/220 = 54.5 ma I C = 12/150 = 80 ma I tot = (54.5) 2 + (80) 2 = 96.8 ma θ = tan -1 (80/54.5) = V s

20 Series-Parallel RC Circuits An approach to analyzing circuits with combinations of both series and parallel R and C elements is to: Calculate the magnitudes of capacitive reactances (X C ) Find the impedance (Z) of the series portion and the impedance of the parallel portion and combine them to get the total impedance 20

21 21 流 (Z) (Z') (Z") 聯 Z Z' jz" ( ) R i jx m R Z + + = ( ) m i e m e i e i e X R R X R R R R R Z = ( ) m i e m e X R R X R j + + 路

22 路 22

23 Z-plot ( Z ) 2 + ( Z ) 2 Z = c c Z s 流 流 Z 流 流 率 f C ( 率 ) Z" 率 參 數 23

24 Z-plot 24

25 RC Lag Network The RC lag network is a phase shift circuit in which the output voltage lags the input voltage φ = 90 o tan 1 X C R 25

26 RC Lead Network The RC lead network is a phase shift circuit in which the output voltage leads the input voltage 26 φ = tan 1 X C R

27 Frequency Selectivity of RC Circuits A low-pass circuit is realized by taking the output across the capacitor, just as in a lag network 27

28 Frequency Selectivity of RC Circuits The frequency response of the low-pass RC circuit is shown below, where the measured values are plotted on a graph of V out versus f. 10 V 28

29 Frequency Selectivity of RC Circuits A high-pass circuit is implemented by taking the output across the resistor, as in a lead network 29

30 Frequency Selectivity of RC Circuits The frequency response of the high-pass RC circuit is shown below, where the measured values are plotted on a graph of V out versus f. 10 V 30

31 Frequency Selectivity of RC Circuits The frequency at which the capacitive reactance equals the resistance in a low-pass or high-pass RC circuit is called the cutoff frequency: 1 f C = 2πRC 31

32 Coupling an AC Signal into a DC Bias Network 32

33 Summary When a sinusoidal voltage is applied to an RC circuit, the current and all the voltage drops are also sine waves Total current in an RC circuit always leads the source voltage The resistor voltage is always in phase with the current In an ideal capacitor, the voltage always lags the current by 90 33

34 Summary In an RC circuit, the impedance is determined by both the resistance and the capacitive reactance combined The circuit phase angle is the angle between the total current and the source voltage In a lag network, the output voltage lags the input voltage in phase In a lead network, the output voltage leads the input voltage A filter passes certain frequencies and rejects others 34

First Year (Electrical & Electronics Engineering)

First Year (Electrical & Electronics Engineering) Z PRACTICAL WORK BOOK For The Course EE-113 Basic Electrical Engineering For First Year (Electrical & Electronics Engineering) Name of Student: Class: Batch : Discipline: Class Roll No.: Examination Seat

More information

Three phase circuits

Three phase circuits Three phase circuits THREE PHASE CIRCUITS THREE-PHASE ADVANTAGES 1. The horsepower rating of three-phase motors and the kva rating of three-phase transformers are 150% greater than single-phase motors

More information

RLC Resonant Circuits

RLC Resonant Circuits C esonant Circuits Andrew McHutchon April 20, 203 Capacitors and Inductors There is a lot of inconsistency when it comes to dealing with reactances of complex components. The format followed in this document

More information

Chapter 29 Alternating-Current Circuits

Chapter 29 Alternating-Current Circuits hapter 9 Alternating-urrent ircuits onceptual Problems A coil in an ac generator rotates at 6 Hz. How much time elapses between successive emf values of the coil? Determine the oncept Successive s are

More information

Impedance Matching and Matching Networks. Valentin Todorow, December, 2009

Impedance Matching and Matching Networks. Valentin Todorow, December, 2009 Impedance Matching and Matching Networks Valentin Todorow, December, 2009 RF for Plasma Processing - Definition of RF What is RF? The IEEE Standard Dictionary of Electrical and Electronics Terms defines

More information

Chapter 12: Three Phase Circuits

Chapter 12: Three Phase Circuits Chapter 12: Three Phase Circuits 12.1 What Is a Three Phase Circuit? 12.2 Balance Three Phase Voltages 12.3 Balance Three Phase Y to Y Connection 12.4 Other Balance Three Phase Connections 12.5 Power in

More information

Lecturer: James Grimbleby URL: http://www.personal.rdg.ac.uk/~stsgrimb/ email: j.b.grimbleby reading.ac.uk

Lecturer: James Grimbleby URL: http://www.personal.rdg.ac.uk/~stsgrimb/ email: j.b.grimbleby reading.ac.uk AC Circuit Analysis Module: SEEA5 Systems and Circuits Lecturer: UL: http://www.personal.rdg.ac.uk/~stsgrimb/ email:.b.grimbleby reading.ac.uk Number of Lectures: ecommended text book: David Irwin and

More information

Unit/Standard Number. High School Graduation Years 2010, 2011 and 2012

Unit/Standard Number. High School Graduation Years 2010, 2011 and 2012 1 Secondary Task List 100 SAFETY 101 Demonstrate an understanding of State and School safety regulations. 102 Practice safety techniques for electronics work. 103 Demonstrate an understanding of proper

More information

Basic Laws Circuit Theorems Methods of Network Analysis Non-Linear Devices and Simulation Models

Basic Laws Circuit Theorems Methods of Network Analysis Non-Linear Devices and Simulation Models EE Modul 1: Electric Circuits Theory Basic Laws Circuit Theorems Methods of Network Analysis Non-Linear Devices and Simulation Models EE Modul 1: Electric Circuits Theory Current, Voltage, Impedance Ohm

More information

THE BREADBOARD; DC POWER SUPPLY; RESISTANCE OF METERS; NODE VOLTAGES AND EQUIVALENT RESISTANCE; THÉVENIN EQUIVALENT CIRCUIT

THE BREADBOARD; DC POWER SUPPLY; RESISTANCE OF METERS; NODE VOLTAGES AND EQUIVALENT RESISTANCE; THÉVENIN EQUIVALENT CIRCUIT THE BREADBOARD; DC POWER SUPPLY; RESISTANCE OF METERS; NODE VOLTAGES AND EQUIVALENT RESISTANCE; THÉVENIN EQUIVALENT CIRCUIT YOUR NAME LAB MEETING TIME Reference: C.W. Alexander and M.N.O Sadiku, Fundamentals

More information

J.L. Kirtley Jr. Electric network theory deals with two primitive quantities, which we will refer to as: 1. Potential (or voltage), and

J.L. Kirtley Jr. Electric network theory deals with two primitive quantities, which we will refer to as: 1. Potential (or voltage), and Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.061 Introduction to Power Systems Class Notes Chapter 1: eiew of Network Theory J.L. Kirtley Jr. 1 Introduction

More information

Regulated D.C. Power Supply

Regulated D.C. Power Supply 442 17 Principles of Electronics Regulated D.C. Power Supply 17.1 Ordinary D.C. Power Supply 17.2 Important Terms 17.3 Regulated Power Supply 17.4 Types of Voltage Regulators 17.5 Zener Diode Voltage Regulator

More information

What you will do. Build a 3-band equalizer. Connect to a music source (mp3 player) Low pass filter High pass filter Band pass filter

What you will do. Build a 3-band equalizer. Connect to a music source (mp3 player) Low pass filter High pass filter Band pass filter Audio Filters What you will do Build a 3-band equalizer Low pass filter High pass filter Band pass filter Connect to a music source (mp3 player) Adjust the strength of low, high, and middle frequencies

More information

DRIVING LOOOONG CABLES

DRIVING LOOOONG CABLES DRIVING LOOOONG CABLES INTRODUCTION Microphone or line level cables may appear to be foolproof compared to loudspeaker cables. However, they are not. In particular you can easily encounter high frequency

More information

Understanding Power Impedance Supply for Optimum Decoupling

Understanding Power Impedance Supply for Optimum Decoupling Introduction Noise in power supplies is not only caused by the power supply itself, but also the load s interaction with the power supply (i.e. dynamic loads, switching, etc.). To lower load induced noise,

More information

SERIES-PARALLEL DC CIRCUITS

SERIES-PARALLEL DC CIRCUITS Name: Date: Course and Section: Instructor: EXPERIMENT 1 SERIES-PARALLEL DC CIRCUITS OBJECTIVES 1. Test the theoretical analysis of series-parallel networks through direct measurements. 2. Improve skills

More information

W03 Analysis of DC Circuits. Yrd. Doç. Dr. Aytaç Gören

W03 Analysis of DC Circuits. Yrd. Doç. Dr. Aytaç Gören W03 Analysis of DC Circuits Yrd. Doç. Dr. Aytaç Gören ELK 2018 - Contents W01 Basic Concepts in Electronics W02 AC to DC Conversion W03 Analysis of DC Circuits (self and condenser) W04 Transistors and

More information

Apprentice Telecommunications Technician Test (CTT) Study Guide

Apprentice Telecommunications Technician Test (CTT) Study Guide Apprentice Telecommunications Technician Test (CTT) Study Guide 1 05/2014 Study Guide for Pacific Gas & Electric Company Apprentice Telecommunications Technician Qualifying Test (CTT) About the Test The

More information

Basic Electrical Technology Dr. L. Umanand Department of Electrical Engineering Indian Institute of Science, Bangalore. Lecture - 33 3 phase System 4

Basic Electrical Technology Dr. L. Umanand Department of Electrical Engineering Indian Institute of Science, Bangalore. Lecture - 33 3 phase System 4 Basic Electrical Technology Dr. L. Umanand Department of Electrical Engineering Indian Institute of Science, Bangalore Lecture - 33 3 phase System 4 Hello everybody. So, in the last class we have been

More information

Basic Op Amp Circuits

Basic Op Amp Circuits Basic Op Amp ircuits Manuel Toledo INEL 5205 Instrumentation August 3, 2008 Introduction The operational amplifier (op amp or OA for short) is perhaps the most important building block for the design of

More information

ECE 212 ELECTRICAL ENGINEERING LABORATORY II

ECE 212 ELECTRICAL ENGINEERING LABORATORY II ECE 212 ELECTRICAL ENGINEERING LABORATORY II For use in ECE 212 Electrical Engineering Laboratory II a companion laboratory for ECE 262, Electric Circuits II January 2010 Dr. J. E. Harriss Revision History

More information

Laboratory 4: Feedback and Compensation

Laboratory 4: Feedback and Compensation Laboratory 4: Feedback and Compensation To be performed during Week 9 (Oct. 20-24) and Week 10 (Oct. 27-31) Due Week 11 (Nov. 3-7) 1 Pre-Lab This Pre-Lab should be completed before attending your regular

More information

Ver 3537 E1.1 Analysis of Circuits (2014) E1.1 Circuit Analysis. Problem Sheet 1 (Lectures 1 & 2)

Ver 3537 E1.1 Analysis of Circuits (2014) E1.1 Circuit Analysis. Problem Sheet 1 (Lectures 1 & 2) Ver 3537 E. Analysis of Circuits () Key: [A]= easy... [E]=hard E. Circuit Analysis Problem Sheet (Lectures & ). [A] One of the following circuits is a series circuit and the other is a parallel circuit.

More information

Chapter 24. Three-Phase Voltage Generation

Chapter 24. Three-Phase Voltage Generation Chapter 24 Three-Phase Systems Three-Phase Voltage Generation Three-phase generators Three sets of windings and produce three ac voltages Windings are placed 120 apart Voltages are three identical sinusoidal

More information

PHYSICAL METHODS, INSTRUMENTS AND MEASUREMENTS - Measurements Of Electrical Quantities - Ján Šaliga MEASUREMENTS OF ELECTRICAL QUANTITIES

PHYSICAL METHODS, INSTRUMENTS AND MEASUREMENTS - Measurements Of Electrical Quantities - Ján Šaliga MEASUREMENTS OF ELECTRICAL QUANTITIES MEASUREMENTS OF ELECTRICAL QUANTITIES Ján Šaliga Department of Electronics and Multimedia Telecommunication, Technical University of Košice, Košice, Slovak Republic Keywords: basic electrical quantities,

More information

Application of network analyzer in measuring the performance functions of power supply

Application of network analyzer in measuring the performance functions of power supply J Indian Inst Sci, July Aug 2006, 86, 315 325 Indian Institute of Science Application of network analyzer in measuring the performance functions of power supply B SWAMINATHAN* AND V RAMANARAYANAN Power

More information

Impedance Matching. Using transformers Using matching networks

Impedance Matching. Using transformers Using matching networks Impedance Matching The plasma industry uses process power over a wide range of frequencies: from DC to several gigahertz. A variety of methods are used to couple the process power into the plasma load,

More information

Department of Electrical and Electronic Engineering, California State University, Sacramento

Department of Electrical and Electronic Engineering, California State University, Sacramento Department of Electrical and Electronic Engineering, California State University, Sacramento Engr 17 Introductory Circuit Analysis, graded, 3 units Instructor: Tatro - Spring 2016 Section 2, Call No. 30289,

More information

THREE-PHASE POWER SYSTEMS ECE 454/554: Power Systems Laboratory

THREE-PHASE POWER SYSTEMS ECE 454/554: Power Systems Laboratory THREE-PHSE POER SYSTEMS ECE 5/55: Power Systems Laboratory Contributors: Dr... El-Keib Mr. Clifton Black Dr. Tim. Haskew Mr. Johnny Carlisle Mr. Neil Hutchins Objectives Learn how to perform measurements

More information

DOE FUNDAMENTALS HANDBOOK ELECTRICAL SCIENCE Volume 3 of 4

DOE FUNDAMENTALS HANDBOOK ELECTRICAL SCIENCE Volume 3 of 4 DOE-HDBK-1011/3-92 JUNE 1992 DOE FUNDAMENTALS HANDBOOK ELECTRICAL SCIENCE Volume 3 of 4 U.S. Department of Energy Washington, D.C. 20585 FSC-6910 Distribution Statement A. Approved for public release;

More information

MOBILE SYSTEM FOR DIAGNOSIS OF HIGH VOLTAGE CABLES (132KV/220KV) VLF-200 HVCD

MOBILE SYSTEM FOR DIAGNOSIS OF HIGH VOLTAGE CABLES (132KV/220KV) VLF-200 HVCD MOBILE SYSTEM FOR DIAGNOSIS OF HIGH VOLTAGE CABLES (132KV/220KV) VLF-200 HVCD VERY LOW FREQUENCY (VLF) - PARTIAL DISCHARGES AND TANGENT DELTA HV/EHV POWER CABLES DIAGNOSTIC AND ON-SITE FIELD TESTING WITH

More information

Lab #9: AC Steady State Analysis

Lab #9: AC Steady State Analysis Theory & Introduction Lab #9: AC Steady State Analysis Goals for Lab #9 The main goal for lab 9 is to make the students familar with AC steady state analysis, db scale and the NI ELVIS frequency analyzer.

More information

Example: Determine the power supplied by each of the sources, independent and dependent, in this circuit:

Example: Determine the power supplied by each of the sources, independent and dependent, in this circuit: Example: Determine the power supplied by each of the sources, independent and dependent, in this circuit: Solution: We ll begin by choosing the bottom node to be the reference node. Next we ll label the

More information

Fundamentals of Electrical Engineering 2 Grundlagen der Elektrotechnik 2

Fundamentals of Electrical Engineering 2 Grundlagen der Elektrotechnik 2 Fundamentals of Electrical Engineering 2 Grundlagen der Elektrotechnik 2 Chapter: Sinusoidal Steady State Analysis / Netzwerkanalyse bei harmonischer Erregung Michael E. Auer Source of figures: Alexander/Sadiku:

More information

Electrical Engineering 234

Electrical Engineering 234 Electrical Engineering 234 Electrical Engineering Circuit Laboratory by Robert C. Maher, Assistant Professor with Duane T. Hickenbottom, Graduate Assistant University of Nebraska Lincoln Department of

More information

AND8200/D. Design Considerations for ESD/EMI Filters: I (Almost Everything You Wanted to Know About EMI Filters and Were Afraid to Ask)

AND8200/D. Design Considerations for ESD/EMI Filters: I (Almost Everything You Wanted to Know About EMI Filters and Were Afraid to Ask) Design Considerations for ESD/EMI Filters: I (Almost Everything You Wanted to Know About EMI Filters and Were Afraid to Ask) Prepared by: Ryan Hurley Applications Engineer ON Semiconductor APPLICATION

More information

Diodes have an arrow showing the direction of the flow.

Diodes have an arrow showing the direction of the flow. The Big Idea Modern circuitry depends on much more than just resistors and capacitors. The circuits in your computer, cell phone, Ipod depend on circuit elements called diodes, inductors, transistors,

More information

Electrochemical Impedance Spectroscopy (EIS): A Powerful and Cost- Effective Tool for Fuel Cell Diagnostics

Electrochemical Impedance Spectroscopy (EIS): A Powerful and Cost- Effective Tool for Fuel Cell Diagnostics Electrochemical Impedance Spectroscopy (EIS): A Powerful and Cost- Effective Tool for Fuel Cell Diagnostics Electrochemical Impedance Spectroscopy (EIS) is a powerful diagnostic tool that you can use to

More information

Fundamentals of Signature Analysis

Fundamentals of Signature Analysis Fundamentals of Signature Analysis An In-depth Overview of Power-off Testing Using Analog Signature Analysis www.huntron.com 1 www.huntron.com 2 Table of Contents SECTION 1. INTRODUCTION... 7 PURPOSE...

More information

ENGR-2300 Electronic Instrumentation Quiz 1 Spring 2015

ENGR-2300 Electronic Instrumentation Quiz 1 Spring 2015 ENGR-2300 Electronic Instrumentation Quiz Spring 205 On all questions: SHOW ALL WORK. BEGIN WITH FORMULAS, THEN SUBSTITUTE ALUES AND UNITS. No credit will be given for numbers that appear without justification.

More information

Application Guide Film Capacitors

Application Guide Film Capacitors Capacitance Change vs. Temperature Insulation Resistance vs. Temperature Polyester Typical Characteristics at 1 khz % Capacitance Change % Capacitance Change Polypropylene Typical Characteristics at 1

More information

Chapter 5. A Power Distribution System

Chapter 5. A Power Distribution System Chapter 5 A Power Distribution System K. Barry A. Williams, Principal Engineer, Hewlett Packard 5.1 Introduction The goal of a power distribution system is to have an impedence that is flat over frequency.

More information

Design Considerations for an LLC Resonant Converter

Design Considerations for an LLC Resonant Converter Design Considerations for an LLC Resonant Converter Hangseok Choi Power Conversion Team www.fairchildsemi.com 1. Introduction Growing demand for higher power density and low profile in power converter

More information

Alkaline Manganese (Mercury free) IEC: LR03; JIS: AM-4; ANSI: AAA; MN2400; Micro chemical system: Zn / KOH-H 2 O / MnO 2

Alkaline Manganese (Mercury free) IEC: LR03; JIS: AM-4; ANSI: AAA; MN2400; Micro chemical system: Zn / KOH-H 2 O / MnO 2 IEC: LR03; JIS: AM-4; ANSI: AAA; MN2400; Micro rated: 1200 mah discharge at 10mA load; 24hours/day 1070 mah discharge at 75ohms load; 24hours/day minimum: 1050 mah discharge at 20mA constant current 300

More information

MATERIALS. Multisim screen shots sent to TA.

MATERIALS. Multisim screen shots sent to TA. Page 1/8 Revision 0 9-Jun-10 OBJECTIVES Learn new Multisim components and instruments. Conduct a Multisim transient analysis. Gain proficiency in the function generator and oscilloscope. MATERIALS Multisim

More information

Lecture 24. Inductance and Switching Power Supplies (how your solar charger voltage converter works)

Lecture 24. Inductance and Switching Power Supplies (how your solar charger voltage converter works) Lecture 24 Inductance and Switching Power Supplies (how your solar charger voltage converter works) Copyright 2014 by Mark Horowitz 1 Roadmap: How Does This Work? 2 Processor Board 3 More Detailed Roadmap

More information

Network Theory Question Bank

Network Theory Question Bank Network Theory Question Bank Unit-I JNTU SYLLABUS: Three Phase Circuits Three phase circuits: Phase sequence Star and delta connection Relation between line and phase voltages and currents in balanced

More information

Reading: HH Sections 4.11 4.13, 4.19 4.20 (pgs. 189-212, 222 224)

Reading: HH Sections 4.11 4.13, 4.19 4.20 (pgs. 189-212, 222 224) 6 OP AMPS II 6 Op Amps II In the previous lab, you explored several applications of op amps. In this exercise, you will look at some of their limitations. You will also examine the op amp integrator and

More information

Thevenin Equivalent Circuits

Thevenin Equivalent Circuits hevenin Equivalent Circuits Introduction In each of these problems, we are shown a circuit and its hevenin or Norton equivalent circuit. he hevenin and Norton equivalent circuits are described using three

More information

REPORT ON CANDIDATES WORK IN THE CARIBBEAN ADVANCED PROFICIENCY EXAMINATION MAY/JUNE 2008 ELECTRICAL AND ELECTRONIC TECHNOLOGY (TRINIDAD AND TOBAGO)

REPORT ON CANDIDATES WORK IN THE CARIBBEAN ADVANCED PROFICIENCY EXAMINATION MAY/JUNE 2008 ELECTRICAL AND ELECTRONIC TECHNOLOGY (TRINIDAD AND TOBAGO) CARIBBEAN EXAMINATIONS COUNCIL REPORT ON CANDIDATES WORK IN THE CARIBBEAN ADVANCED PROFICIENCY EXAMINATION MAY/JUNE 2008 ELECTRICAL AND ELECTRONIC TECHNOLOGY (TRINIDAD AND TOBAGO) Copyright 2008 Caribbean

More information

TWO PORT NETWORKS h-parameter BJT MODEL

TWO PORT NETWORKS h-parameter BJT MODEL TWO PORT NETWORKS h-parameter BJT MODEL The circuit of the basic two port network is shown on the right. Depending on the application, it may be used in a number of different ways to develop different

More information

Amplifier Teaching Aid

Amplifier Teaching Aid Amplifier Teaching Aid Table of Contents Amplifier Teaching Aid...1 Preface...1 Introduction...1 Lesson 1 Semiconductor Review...2 Lesson Plan...2 Worksheet No. 1...7 Experiment No. 1...7 Lesson 2 Bipolar

More information

PowerAmp Design. PowerAmp Design PAD135 COMPACT HIGH VOLATGE OP AMP

PowerAmp Design. PowerAmp Design PAD135 COMPACT HIGH VOLATGE OP AMP PowerAmp Design COMPACT HIGH VOLTAGE OP AMP Rev G KEY FEATURES LOW COST SMALL SIZE 40mm SQUARE HIGH VOLTAGE 200 VOLTS HIGH OUTPUT CURRENT 10A PEAK 40 WATT DISSIPATION CAPABILITY 200V/µS SLEW RATE APPLICATIONS

More information

Laboratory Manual. ELEN-325 Electronics

Laboratory Manual. ELEN-325 Electronics Laboratory Manual ELEN-325 Electronics Department of Electrical & Computer Engineering Texas A&M University Prepared by: Dr. Jose Silva-Martinez (jsilva@ece.tamu.edu) Rida Assaad (rida@ece.tamu.edu) Raghavendra

More information

Electronics. Basic Concepts. Yrd. Doç. Dr. Aytaç GÖREN Yrd. Doç. Dr. Levent ÇETİN

Electronics. Basic Concepts. Yrd. Doç. Dr. Aytaç GÖREN Yrd. Doç. Dr. Levent ÇETİN Electronics Basic Concepts Electric charge Ordinary matter is made up of atoms which have positively charged nuclei and negatively charged electrons surrounding them. Charge is quantized as the subtraction

More information

CHAPTER 30: Inductance, Electromagnetic Oscillations, and AC Circuits

CHAPTER 30: Inductance, Electromagnetic Oscillations, and AC Circuits HAPTE 3: Inductance, Electromagnetic Oscillations, and A ircuits esponses to Questions. (a) For the maximum value of the mutual inductance, place the coils close together, face to face, on the same axis.

More information

Pressure Transducer to ADC Application

Pressure Transducer to ADC Application Application Report SLOA05 October 2000 Pressure Transducer to ADC Application John Bishop ABSTRACT Advanced Analog Products/OpAmp Applications A range of bridgetype transducers can measure numerous process

More information

Electrical Installation Calculations: Advanced

Electrical Installation Calculations: Advanced Electrical Installation Calculations: Advanced This page intentionally left blank Electrical Installation Calculations: Advanced FOR TECHNICAL CERTIFICATE AND NVQ LEVEL 3 SEVENTH EDITION A. J. WATKINS

More information

Bode Diagrams of Transfer Functions and Impedances ECEN 2260 Supplementary Notes R. W. Erickson

Bode Diagrams of Transfer Functions and Impedances ECEN 2260 Supplementary Notes R. W. Erickson Bode Diagrams of Transfer Functions and Impedances ECEN 2260 Supplementary Notes. W. Erickson In the design of a signal processing network, control system, or other analog system, it is usually necessary

More information

Equipment: Power Supply, DAI, Variable resistance (8311), Variable inductance (8321)

Equipment: Power Supply, DAI, Variable resistance (8311), Variable inductance (8321) Lab 4: 3-phase circuits. Objective: to study voltage-current relationships in 3-phase circuits; to learn to make delta and Y connections; to calculate and measure real, apparent, and reactive powers. Equipment:

More information

Electronics. Discrete assembly of an operational amplifier as a transistor circuit. LD Physics Leaflets P4.2.1.1

Electronics. Discrete assembly of an operational amplifier as a transistor circuit. LD Physics Leaflets P4.2.1.1 Electronics Operational Amplifier Internal design of an operational amplifier LD Physics Leaflets Discrete assembly of an operational amplifier as a transistor circuit P4.2.1.1 Objects of the experiment

More information

TDA2040. 20W Hi-Fi AUDIO POWER AMPLIFIER

TDA2040. 20W Hi-Fi AUDIO POWER AMPLIFIER 20W Hi-Fi AUDIO POWER AMPLIFIER DESCRIPTION The TDA2040 is a monolithic integrated circuit in Pentawatt package, intended for use as an audio class AB amplifier. Typically it provides 22W output power

More information

Content Map For Career & Technology

Content Map For Career & Technology Content Strand: Applied Academics CT-ET1-1 analysis of electronic A. Fractions and decimals B. Powers of 10 and engineering notation C. Formula based problem solutions D. Powers and roots E. Linear equations

More information

Topic Suggested Teaching Suggested Resources

Topic Suggested Teaching Suggested Resources Lesson 1 & 2: DC Networks Learning Outcome: Be able to apply electrical theorems to solve DC network problems Electrical theorems and DC network problems Introduction into the unit contents, aims & objectives

More information

The Membrane Equation

The Membrane Equation The Membrane Equation Professor David Heeger September 5, 2000 RC Circuits Figure 1A shows an RC (resistor, capacitor) equivalent circuit model for a patch of passive neural membrane. The capacitor represents

More information

Equivalent Circuit. Operating Characteristics at Ta = 25 C, V CC = ±34V, R L = 8Ω, VG = 40dB, Rg = 600Ω, R L : non-inductive load STK4181V

Equivalent Circuit. Operating Characteristics at Ta = 25 C, V CC = ±34V, R L = 8Ω, VG = 40dB, Rg = 600Ω, R L : non-inductive load STK4181V Ordering number: 2137B Thick Film Hybrid IC STK4181V AF Power Amplifier (Split Power Supply) (45W + 45W min, THD = 0.08%) Features Pin-compatible with the STK4102II series. The STK4101V series use the

More information

Understanding Power Factor and How it Affects Your Electric Bill. Presented by Scott Peele PE

Understanding Power Factor and How it Affects Your Electric Bill. Presented by Scott Peele PE Understanding Power Factor and How it Affects Your Electric Bill Presented by Scott Peele PE Understanding Power Factor Definitions kva, kvar, kw, Apparent Power vs. True Power Calculations Measurements

More information

Chapter 30 Inductance, Electromagnetic Oscillations, and AC Circuits. Copyright 2009 Pearson Education, Inc.

Chapter 30 Inductance, Electromagnetic Oscillations, and AC Circuits. Copyright 2009 Pearson Education, Inc. Chapter 30 Inductance, Electromagnetic Oscillations, and AC Circuits 30-1 Mutual Inductance Mutual inductance: a changing current in one coil will induce a current in a second coil: Coil 1 produces a flux

More information

SCHWEITZER ENGINEERING LABORATORIES, COMERCIAL LTDA.

SCHWEITZER ENGINEERING LABORATORIES, COMERCIAL LTDA. Pocket book of Electrical Engineering Formulas Content 1. Elementary Algebra and Geometry 1. Fundamental Properties (real numbers) 1 2. Exponents 2 3. Fractional Exponents 2 4. Irrational Exponents 2 5.

More information

Novel Loaded-Resonant Converter & Application of DC-to-DC Energy Conversions systems

Novel Loaded-Resonant Converter & Application of DC-to-DC Energy Conversions systems International Refereed Journal of Engineering and Science (IRJES) ISSN (Online) 2319-183X, (Print) 2319-1821 Volume 2, Issue 11 (November 2013), PP.50-57 Novel Loaded-Resonant Converter & Application of

More information

DRAFT. University of Pennsylvania Moore School of Electrical Engineering ESE319 Electronic Circuits - Modeling and Measurement Techniques

DRAFT. University of Pennsylvania Moore School of Electrical Engineering ESE319 Electronic Circuits - Modeling and Measurement Techniques University of Pennsylvania Moore School of Electrical Engineering ESE319 Electronic Circuits - Modeling and Measurement Techniques 1. Introduction. Students are often frustrated in their attempts to execute

More information

Physics 6C, Summer 2006 Homework 2 Solutions

Physics 6C, Summer 2006 Homework 2 Solutions Physics 6C, Summer 006 Homework Solutions All problems are from the nd edition of Walker. Numerical values are different for each student. Chapter 3 Problems. Figure 3-30 below shows a circuit containing

More information

LM386 Low Voltage Audio Power Amplifier

LM386 Low Voltage Audio Power Amplifier Low Voltage Audio Power Amplifier General Description The LM386 is a power amplifier designed for use in low voltage consumer applications. The gain is internally set to 20 to keep external part count

More information

Study Guide for the Electronics Technician Pre-Employment Examination

Study Guide for the Electronics Technician Pre-Employment Examination Bay Area Rapid Transit District Study Guide for the Electronics Technician Pre-Employment Examination INTRODUCTION The Bay Area Rapid Transit (BART) District makes extensive use of electronics technology

More information

ATE-A1 Testing Without Relays - Using Inductors to Compensate for Parasitic Capacitance

ATE-A1 Testing Without Relays - Using Inductors to Compensate for Parasitic Capacitance Introduction (Why Get Rid of Relays?) Due to their size, cost and relatively slow (millisecond) operating speeds, minimizing the number of mechanical relays is a significant goal of any ATE design. This

More information

CD74HC4046A, CD74HCT4046A

CD74HC4046A, CD74HCT4046A February 99 SEMICONDUCTOR CD7HC6A, CD7HCT6A High-Speed CMOS Logic Phase-Locked-Loop with VCO Features Operating Frequency Range - Up to MHz (Typ) at = 5V - Minimum Center Frequency of MHz at Choice of

More information

PHYSICS 111 LABORATORY Experiment #3 Current, Voltage and Resistance in Series and Parallel Circuits

PHYSICS 111 LABORATORY Experiment #3 Current, Voltage and Resistance in Series and Parallel Circuits PHYSCS 111 LABORATORY Experiment #3 Current, Voltage and Resistance in Series and Parallel Circuits This experiment is designed to investigate the relationship between current and potential in simple series

More information

Loop Bandwidth and Clock Data Recovery (CDR) in Oscilloscope Measurements. Application Note 1304-6

Loop Bandwidth and Clock Data Recovery (CDR) in Oscilloscope Measurements. Application Note 1304-6 Loop Bandwidth and Clock Data Recovery (CDR) in Oscilloscope Measurements Application Note 1304-6 Abstract Time domain measurements are only as accurate as the trigger signal used to acquire them. Often

More information

Alternating Current Circuits and Electromagnetic Waves

Alternating Current Circuits and Electromagnetic Waves Arecibo, a large radio telescope in Puerto Rico, gathers electromagnetic radiation in the form of radio waves. These long wavelengths pass through obscuring dust clouds, allowing astronomers to create

More information

Grounding Demystified

Grounding Demystified Grounding Demystified 3-1 Importance Of Grounding Techniques 45 40 35 30 25 20 15 10 5 0 Grounding 42% Case 22% Cable 18% Percent Used Filter 12% PCB 6% Grounding 42% Case Shield 22% Cable Shielding 18%

More information

Two year Claritycap research programme finally answers an audio capacitors influence on sound quality.

Two year Claritycap research programme finally answers an audio capacitors influence on sound quality. Two year Claritycap research programme finally answers an audio capacitors influence on sound quality. ClarityCap have been supplying high-quality audio capacitors to some of the world s top HiFi and loudspeaker

More information

DEPARTMENT OF DEFENSE TEST METHOD STANDARD METHOD OF INSERTION LOSS MEASUREMENT

DEPARTMENT OF DEFENSE TEST METHOD STANDARD METHOD OF INSERTION LOSS MEASUREMENT INCH-POUND MIL-STD-220C 14 May 2009 SUPERSEDING MIL-STD-220B 24 January 2000 DEPARTMENT OF DEFENSE TEST METHOD STANDARD METHOD OF INSERTION LOSS MEASUREMENT AMSC N/A FSC EMCS FOREWORD 1. This standard

More information

Laboratory Manual and Supplementary Notes. CoE 494: Communication Laboratory. Version 1.2

Laboratory Manual and Supplementary Notes. CoE 494: Communication Laboratory. Version 1.2 Laboratory Manual and Supplementary Notes CoE 494: Communication Laboratory Version 1.2 Dr. Joseph Frank Dr. Sol Rosenstark Department of Electrical and Computer Engineering New Jersey Institute of Technology

More information

The node voltage method

The node voltage method The node voltage method Equivalent resistance Voltage / current dividers Source transformations Node voltages Mesh currents Superposition Not every circuit lends itself to short-cut methods. Sometimes

More information

AVX EMI SOLUTIONS Ron Demcko, Fellow of AVX Corporation Chris Mello, Principal Engineer, AVX Corporation Brian Ward, Business Manager, AVX Corporation

AVX EMI SOLUTIONS Ron Demcko, Fellow of AVX Corporation Chris Mello, Principal Engineer, AVX Corporation Brian Ward, Business Manager, AVX Corporation AVX EMI SOLUTIONS Ron Demcko, Fellow of AVX Corporation Chris Mello, Principal Engineer, AVX Corporation Brian Ward, Business Manager, AVX Corporation Abstract EMC compatibility is becoming a key design

More information

MEASUREMENT UNCERTAINTY IN VECTOR NETWORK ANALYZER

MEASUREMENT UNCERTAINTY IN VECTOR NETWORK ANALYZER MEASUREMENT UNCERTAINTY IN VECTOR NETWORK ANALYZER W. Li, J. Vandewege Department of Information Technology (INTEC) University of Gent, St.Pietersnieuwstaat 41, B-9000, Gent, Belgium Abstract: Precision

More information

AN-837 APPLICATION NOTE

AN-837 APPLICATION NOTE APPLICATION NOTE One Technology Way P.O. Box 916 Norwood, MA 262-916, U.S.A. Tel: 781.329.47 Fax: 781.461.3113 www.analog.com DDS-Based Clock Jitter Performance vs. DAC Reconstruction Filter Performance

More information

Static Analysis of Power Systems. Lennart Söder and Mehrdad Ghandhari

Static Analysis of Power Systems. Lennart Söder and Mehrdad Ghandhari Static Analysis of Power Systems Lennart Söder and Mehrdad Ghandhari Electric Power Systems Royal Institute of Technology August 200 ii Contents Introduction 2 Power system design 3 2. The development

More information

ANN Based Fault Classifier and Fault Locator for Double Circuit Transmission Line

ANN Based Fault Classifier and Fault Locator for Double Circuit Transmission Line International Journal of Computer Sciences and Engineering Open Access Research Paper Volume-4, Special Issue-2, April 2016 E-ISSN: 2347-2693 ANN Based Fault Classifier and Fault Locator for Double Circuit

More information

SECTION 13. Multipliers. Outline of Multiplier Design Process:

SECTION 13. Multipliers. Outline of Multiplier Design Process: SECTION 13 Multipliers VMI manufactures many high voltage multipliers, most of which are custom designed for specific requirements. The following information provides general information and basic guidance

More information

LM1036 Dual DC Operated Tone/Volume/Balance Circuit

LM1036 Dual DC Operated Tone/Volume/Balance Circuit LM1036 Dual DC Operated Tone/Volume/Balance Circuit General Description The LM1036 is a DC controlled tone (bass/treble), volume and balance circuit for stereo applications in car radio, TV and audio systems.

More information

Figure 1: Multiple unsynchronized snapshots of the same sinusoidal signal.

Figure 1: Multiple unsynchronized snapshots of the same sinusoidal signal. 1 Oscilloscope Guide Introduction An oscilloscope is a device used to observe and measure time-dependent electronic signals. It is essentially an enhanced voltmeter which displays a graph of potential

More information

Making Accurate Voltage Noise and Current Noise Measurements on Operational Amplifiers Down to 0.1Hz

Making Accurate Voltage Noise and Current Noise Measurements on Operational Amplifiers Down to 0.1Hz Author: Don LaFontaine Making Accurate Voltage Noise and Current Noise Measurements on Operational Amplifiers Down to 0.1Hz Abstract Making accurate voltage and current noise measurements on op amps in

More information

Lecture Notes ELE A6

Lecture Notes ELE A6 ecture Notes EE A6 Ramadan El-Shatshat Three Phase circuits 9/12/2006 EE A6 Three-phase Circuits 1 Three-phase Circuits 9/12/2006 EE A6 Three-phase Circuits 2 Advantages of Three-phase Circuits Smooth

More information

Basic FET Ampli ers 6.0 PREVIEW 6.1 THE MOSFET AMPLIFIER

Basic FET Ampli ers 6.0 PREVIEW 6.1 THE MOSFET AMPLIFIER C H A P T E R 6 Basic FET Ampli ers 6.0 PREVIEW In the last chapter, we described the operation of the FET, in particular the MOSFET, and analyzed and designed the dc response of circuits containing these

More information

Efficient and reliable operation of LED lighting is dependent on the right choice of current-limiting resistor

Efficient and reliable operation of LED lighting is dependent on the right choice of current-limiting resistor Efficient and reliable operation of LED lighting is dependent on the right choice of current-limiting resistor Phil Ebbert, VP of Engineering, Riedon Inc. Introduction Not all resistors are the same and

More information

Mutual Inductance and Transformers F3 3. r L = ω o

Mutual Inductance and Transformers F3 3. r L = ω o utual Inductance and Transformers F3 1 utual Inductance & Transformers If a current, i 1, flows in a coil or circuit then it produces a magnetic field. Some of the magnetic flux may link a second coil

More information

An Introduction to Electrochemical Impedance Measurement

An Introduction to Electrochemical Impedance Measurement An Introduction to Electrochemical Impedance Measurement Technical Report No. 6 An Introduction to Electrochemical Impedance Measurement N D Cogger and N J Evans Technical Report No. 6 Part No.: BTR006

More information

2141-375 Measurement and Instrumentation. Analog Electrical Devices and Measurements

2141-375 Measurement and Instrumentation. Analog Electrical Devices and Measurements 2141-375 Measureent and Instruentation nalog Electrical Devices and Measureents nalog Devices: Current Measureents Force on a conductor I conductor is placed in a unifor agnetic field B T, at an angle

More information

Electronics for Analog Signal Processing - II Prof. K. Radhakrishna Rao Department of Electrical Engineering Indian Institute of Technology Madras

Electronics for Analog Signal Processing - II Prof. K. Radhakrishna Rao Department of Electrical Engineering Indian Institute of Technology Madras Electronics for Analog Signal Processing - II Prof. K. Radhakrishna Rao Department of Electrical Engineering Indian Institute of Technology Madras Lecture - 18 Wideband (Video) Amplifiers In the last class,

More information