Source Transformations
|
|
- Laurence Lamb
- 6 years ago
- Views:
Transcription
1 Source Transformations Introduction The circuits in this set of problems consist of independent sources, resistors and a meter. In particular, these circuits do not contain dependent sources. Each of these circuits has a seriesparallel structure that makes it possible to simplify the circuit by repeatedly Performing source transformations. Replacing series or parallel resistors by an equivalent resistor. Replacing series voltage sources by an equivalent voltage source. Replacing parallel current sources by an equivalent source source. Each simplification is done in such a way that the voltage or current measured by the meter is not disturbed. Generally, that requires beginning the simplification at the opposite end of the circuit from the meter and then working toward the meter. Eventually, the circuit is small enough to be easily solved using Ohm s and Kirchhoff s Laws. Source transformations are discussed in Section 5.3 of Introduction to Electric Circuits by R.C. Dorf and J.A Svoboda. Series resistors are discussed in Section 3.4. Parallel resistors are discussed in Section 3.5. Series voltage sources and parallel current sources are described in Section 3.6. Worked Examples Example 1: Consider the circuit shown in Figure 1. Find the value of the voltage measured by the voltmeter. Figure 1 The circuit considered in Example 1. 1
2 Solution: The voltmeter measures the voltage across the current source. (The color-coded probes of the voltmeter indicate the reference direction of the voltage measured by the voltmeter.) Figure 2 shows the circuit after the replacing the voltmeter by the equivalent open circuit and adding a label to show the voltage measured by the meter. Figures 3 through 17 illustrate the use of source transformations and equivalent resistances to simplify the circuit. Figure 2 The circuit from Figure 1 after the replacing the voltmeter by an open circuit. Figure 3 Separating the circuit from Figure 2 into two parts. Figure 4 The circuit from Figure 3 after doing a source transformation. 2
3 Figure 5 The circuit from Figure 4 after changing the order of parallel elements. Figure 6 Separating the circuit from Figure 5 into two parts. Figure 7 The circuit from Figure 6 after replacing parallel resistors with an equivalent resistor. Figure 8 Separating the circuit from Figure 7 into two parts. 3
4 Figure 9 The circuit from Figure 8 after doing a source transformation. Figure 10 The circuit from Figure 9 after changing the order of series elements. Figure 11 Separating the circuit from Figure 10 into two parts. Figure 12 The circuit from Figure 11 after replacing series voltage sources with an equivalent voltage source 4
5 Figure 13 Separating the circuit from Figure 12 into two parts. Figure 14 The circuit from Figure 13 after doing a source transformation. Figure 15 The circuit from Figure 14 after changing the order of parallel elements. Figure 16 Separating the circuit from Figure 15 into two parts. 5
6 Figure 17 The circuit from Figure 16 after replacing parallel resistors with an equivalent resistor. Figure 18 The reduced circuit. Figure 18 shows the simplified circuit after labeling the current i, of the resistor. Applying KCL at the top node of the circuit gives 8 2 i+ = 2 i= A 3 3 The voltage measured by the meter, v m, is also the voltage across the resistor. Ohm s law gives v m 2 = 3 = 2 3 V 6
7 Example 2: Consider the circuit shown in Figure 19. Find the value of the resistance, R. Figure 19 The circuit considered in Example 2. Solution: The voltmeter measures the voltage across one of the current sources. Figure 20 shows the circuit after the replacing the voltmeter by the equivalent open circuit and adding a label to show the voltage measured by the meter. Figures 21 through 24 illustrate the use of source transformations and equivalent resistances to simplify the circuit. Figure 20 The circuit from Figure 19 after the replacing the voltmeter by an open circuit. Figure 21 Separating the circuit from Figure 20 into two parts. 7
8 Figure 22 The circuit from Figure 21 after doing a source transformation. Figure 23 Separating the circuit from Figure 22 into two parts. Figure 24 The circuit from Figure 23 after replacing series resistors with an equivalent resistor Figure 25 The circuit from Figure 24 after numbering the nodes. 8
9 Figure 25 shows the simplified circuit after numbering the nodes. Let v 1, and v 2 denote the node voltages at nodes 1 and 2 respectively. Then the node voltages are Applying KCL at node 2 gives v 1 = -45 V and v 2 = 5 V = + 4 = 1 R = 5 Ω R 15 9
10 Example 3: Consider the circuit shown in Figure 26. Find the value of the voltage measured by the voltmeter. Figure 26 The circuit considered in Example 3. Solution: The voltmeter measures the voltage across the current source. (The color-coded probes of the voltmeter indicate the reference direction of the voltage measured by the voltmeter.) Figure 27 shows the circuit after the replacing the voltmeter by the equivalent open circuit and adding a label to show the voltage measured by the meter. Figures 28 through 35 illustrate the use of source transformations and equivalent resistances to simplify the circuit. Figure 27 The circuit from Figure 26 after the replacing the voltmeter by an open circuit. 10
11 Figure 28 Separating the circuit from Figure 27 into two parts. Figure 29 The circuit from Figure 28 after doing a source transformation. Figure 30 Separating the circuit from Figure 29 into two parts. 11
12 Figure 31 The circuit from Figure 32 after replacing parallel resistors with an equivalent resistor. Figure 32 Separating the circuit from Figure 31 into two parts. Figure 33 The circuit from Figure 32 after doing a source transformation. 12
13 Figure 34 Separating the circuit from Figure 33 into two parts. Figure 35 The circuit from Figure 34 after replacing series resistors with an equivalent resistor. Figure 36 The reduced circuit. Figure 36 shows the simplified circuit after labeling the current and voltage of the 9 Ω resistor. Applying KVL to the loop circuit gives 9 v 12= 0 v = 3 V m m 13
14 Example 4: Consider the circuit shown in Figure 37. Find the value of the voltage measured by the voltmeter. Figure 37 The circuit considered in Example 4. Solution: The voltmeter measures the voltage across 4 Ω resistor. (The color-coded probes of the voltmeter indicate the reference direction of the voltage measured by the voltmeter.) Figure 38 shows the circuit after the replacing the voltmeter by the equivalent open circuit and adding a label to show the voltage measured by the meter. Figures 40 through 47 illustrate the use of source transformations and equivalent resistances to simplify the circuit. Figure 39 The circuit from Figure 38 after the replacing the voltmeter by an open circuit. Figure 40 Separating the circuit from Figure 39 into two parts. 14
15 Figure 41 The circuit from Figure 40 after doing a source transformation. Figure 42 The circuit from Figure 41 after changing the order of series elements. Figure 43 Separating the circuit from Figure 42 into two parts. Figure 44 The circuit from Figure 43 after replacing series voltage sources with an equivalent voltage source. 15
16 Figure 45 Separating the circuit from Figure 44 into two parts. Figure 46 The circuit from Figure 45 after replacing series resistors with an equivalent resistor. Figure 47 The reduced circuit. Figure 47 shows the simplified circuit. Voltage division gives v m 4 = 90 = 9 V
Electrical Circuits I (ENGR 2405) Chapter 2 Ohm s Law, KCL, KVL, Resistors in Series/Parallel
Electrical Circuits I (ENG 2405) Chapter 2 Ohm s Law, KCL, KVL, esistors in Series/Parallel esistivity Materials tend to resist the flow of electricity through them. This property is called resistance
More informationUnit 8 Combination Circuits
Unit 8 Combination Circuits Objectives: Define a combination circuit. List the rules for parallel circuits. List the rules for series circuits. Solve for combination circuit values. Characteristics There
More informationPrelab 4 Millman s and Reciprocity Theorems
Prelab 4 Millman s and Reciprocity Theorems I. For the circuit in figure (4-7a) and figure (4-7b) : a) Calculate : - The voltage across the terminals A- B with the 1kΩ resistor connected. - The current
More information3. Voltage and Current laws
1 3. Voltage and Current laws 3.1 Node, Branches, and loops A branch represents a single element such as a voltage source or a resistor A node is the point of the connection between two or more elements
More information3.4 The Single-Loop Circuit Single-loop circuits
25 3.4 The Single-Loop Circuit Single-loop circuits Elements are connected in series All elements carry the same current We shall determine The current through each element The voltage across each element
More informationChapter 26: Direct current circuit
Chapter 26: Direct current circuit Resistors in circuits Equivalent resistance The nature of the electric potential and current in circuit Kirchhoff s rules (for complicated circuit analysis) Resistors
More informationEE215 FUNDAMENTALS OF ELECTRICAL ENGINEERING
EE215 FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University of Washington, Bothell Spring 2010 EE215 1 1 WEEK 2 SIMPLE RESISTIVE CIRCUITS April 9 th, 2010 TC Chen UWB 2010 EE215 2 2 QUESTIONS
More informationObjective of the Lecture
Objective of the Lecture Present Kirchhoff s Current and Voltage Laws. Chapter 5.6 and Chapter 6.3 Principles of Electric Circuits Chapter4.6 and Chapter 5.5 Electronics Fundamentals or Electric Circuit
More informationSolution: Based on the slope of q(t): 20 A for 0 t 1 s dt = 0 for 3 t 4 s. 20 A for 4 t 5 s 0 for t 5 s 20 C. t (s) 20 C. i (A) Fig. P1.
Problem 1.24 The plot in Fig. P1.24 displays the cumulative charge q(t) that has entered a certain device up to time t. Sketch a plot of the corresponding current i(t). q 20 C 0 1 2 3 4 5 t (s) 20 C Figure
More informationPhysics 227: Lecture 11 Circuits, KVL, KCL, Meters
Physics 227: Lecture 11 Circuits, KVL, KCL, Meters Lecture 10 review: EMF ξ is not a voltage V, but OK for now. Physical emf source has V ab = ξ - Ir internal. Power in a circuit element is P = IV. For
More informationECET 3000 Electrical Principles
ECET 3000 Electrical Principles SeriesParallel Circuits Introduction The fundamental concepts and building blocks that form the foundation of basic circuit theory are: Ohm s Law Seriesconnected Resistors
More informationPH213 Chapter 26 solutions
PH213 Chapter 26 solutions 26.6. IDENTIFY: The potential drop is the same across the resistors in parallel, and the current into the parallel combination is the same as the current through the 45.0-Ω resistor.
More informationIn this lecture, we will learn about some more basic laws governing the behaviour of electronic circuits beyond that of Ohm s law.
In this lecture, we will learn about some more basic laws governing the behaviour of electronic circuits beyond that of Ohm s law. 1 Consider this circuit here. There is a voltage source providing power
More informationChapter 8. Constant Current Sources
Chapter 8 Methods of Analysis Constant Current Sources Maintains same current in branch of circuit Doesn t matter how components are connected external to the source Direction of current source indicates
More informationECE215 Lecture 7 Date:
Lecture 7 Date: 29.08.2016 AC Circuits: Impedance and Admittance, Kirchoff s Laws, Phase Shifter, AC bridge Impedance and Admittance we know: we express Ohm s law in phasor form: where Z is a frequency-dependent
More informationCHAPTER 2 PROBLEMS 12V V 2. Fig. 2.1 I 1. 9mA I 0. Fig Find the resistance of the network in Fig. 2.3 at the terminals A-B. Fig. 2.
7 CHPTER PROLEMS.1 Determine the voltages and V in the networ in Fig..1 using voltage division. 1V Ω Ω Ω Ω V Fig..1. Find the currents 1 and 0 in the circuit in Fig.. using current division. Ω Ω 1 Ω 1Ω
More informationLab Experiment No. 4
Lab Experiment No. Kirchhoff s Laws I. Introduction In this lab exercise, you will learn how to read schematic diagrams of electronic networks, how to draw and use network graphs, how to transform schematics
More informationUniversity of Misan College of Engineering Dep. of Electrical First Stage Fundamental of Elect. Eng. Dr. Malik
CHAPTER TWO 2. Basic Laws : 2.1. Ohm's Law : Ohm s law states that the voltage (V) across a resistor is directly proportional to the current (I) flowing through the resistor. That is : Where (R) is the
More informationelectronics fundamentals
electronics fundamentals circuits, devices, and applications THOMAS L. FLOYD DAVID M. BUCHLA chapter 6 Identifying series-parallel relationships Most practical circuits have combinations of series and
More informationFundamentals of Electric Circuits Chapter 2. Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
Fundamentals of Electric Circuits Chapter 2 Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Overview This chapter will introduce Ohm s law: a central concept
More informationExperiment #3 Kirchhoff's Laws
SAN FRANCSC STATE UNVERSTY ELECTRCAL ENGNEERNG Kirchhoff's Laws bjective To verify experimentally Kirchhoff's voltage and current laws as well as the principles of voltage and current division. ntroduction
More informationLaboratory 2 (drawn from lab text by Alciatore)
Laboratory 2 (drawn from lab text by Alciatore) Instrument Familiarization and Basic Electrical Relations Required Components: 2 1k resistors 2 1M resistors 1 2k resistor Objectives This exercise is designed
More informationUNIVERSITY OF NORTH CAROLINA AT CHARLOTTE Department of Electrical and Computer Engineering
UNIVERSITY OF NORTH CAROLINA AT CHARLOTTE Department of Electrical and Computer Engineering EXPERIMENT 8 NETWORK ANALYSIS OBJECTIVES The purpose of this experiment is to mathematically analyze a circuit
More informationThevenin Equivalent Circuits: (Material for exam - 3)
Thevenin Equivalent Circuits: (Material for exam 3) The Thevenin equivalent circuit is a two terminal output circuit that contains only one source called E TH and one series resistors called R TH. This
More informationSurvival Skills for Circuit Analysis
P. R. Nelson Fall 2010 WhatToKnow - p. 1/46 Survival Skills for Circuit Analysis What you need to know from ECE 109 Phyllis R. Nelson prnelson@csupomona.edu Professor, Department of Electrical and Computer
More information10Vdc. Figure 1. Schematics for verifying Kirchhoff's Laws
ECE 231 Laboratory Exercise 2 Laboratory Group (Names) OBJECTVE Verify Kirchhoff s voltage law Verify Kirchhoff s current law Gain experience in using both an ammeter and voltmeter Construct two (2) circuits
More information1.1 Overview of Electrical Engineering
1.1 Overview of Electrical Engineering Figure 1.1 Pressure versus time for an internal combustion engine experiencing knock. Sensors convert pressure to an electrical signal that is processed to adjust
More informationMesh and Node Equations: More Circuits Containing Dependent Sources
Mesh nd Node Equtions: More Circuits Contining Dependent Sources Introduction The circuits in this set of problems ech contin single dependent source. These circuits cn be nlyzed using mesh eqution or
More informationCK-12 Physics Concepts - Intermediate Answer Key
Chapter 19: Electrical Circuits 19.1 Series Circuits CK-12 Physics Concepts - Intermediate Answer Key 1. There are three 20.0 Ohm resistors connected in series across a 120 V generator. a. What is the
More informationECE 215 Lecture 8 Date:
ECE 215 Lecture 8 Date: 28.08.2017 Phase Shifter, AC bridge AC Circuits: Steady State Analysis Phase Shifter the circuit current I leads the applied voltage by some phase angle θ, where 0 < θ < 90 ο depending
More informationUnit 2. Circuit Analysis Techniques. 2.1 The Node-Voltage Method
Unit 2 Circuit Analysis Techniques In this unit we apply our knowledge of KVL, KCL and Ohm s Law to develop further techniques for circuit analysis. The material is based on Chapter 4 of the text and that
More informationUniversity of Portland EE 271 Electrical Circuits Laboratory. Experiment: Kirchhoff's Laws and Voltage and Current Division
University of Portland EE 271 Electrical Circuits Laboratory Experiment: Kirchhoff's Laws and Voltage and Current Division I. Objective The objective of this experiment is to determine the relationship
More informationLecture Week 5. Voltage Divider Method Equivalent Circuits Review Lab Report Template and Rubric Workshop
Lecture Week 5 Voltage Divider Method Equivalent Circuits Review Lab Report Template and Rubric Workshop Voltage Divider Method The voltage divider is a method/tool that can be used to: Design voltage
More informationEE301 - SERIES CIRCUITS, KIRCHHOFF S VOLTAGE LAW
Learning Objectives a. Identify elements that are connected in series b. State and apply KVL in analysis of a series circuit c. Determine the net effect of series-aiding and series-opposing voltage sources
More informationLab #2 Voltage and Current Division
In this experiment, we will be investigating the concepts of voltage and current division. Voltage and current division is an application of Kirchoff s Laws. Kirchoff s Voltage Law Kirchoff s Voltage Law
More informationSeries and Parallel Resistors
Series and Parallel Resistors Today you will investigate how connecting resistors in series and in parallel affects the properties of a circuit. You will assemble several circuits and measure the voltage
More informationHomework Assignment True or false. For both the inverting and noninverting op-amp configurations, V OS results in
Question 1 (Short Takes), 2 points each. Homework Assignment 02 1. An op-amp has input bias current I B = 1 μa. Make an estimate for the input offset current I OS. Answer. I OS is normally an order of
More informationLecture # 4 Network Analysis
CPEN 206 Linear Circuits Lecture # 4 Network Analysis Dr. Godfrey A. Mills Email: gmills@ug.edu.gh Phone: 026-907-3163 February 22, 2016 Course TA David S. Tamakloe 1 What is Network Technique o Network
More informationSeries Circuits. Chapter
Chapter 4 Series Circuits Topics Covered in Chapter 4 4-1: Why I Is the Same in All Parts of a Series Circuit 4-2: Total R Equals the Sum of All Series Resistances 4-3: Series IR Voltage Drops 4-4: Kirchhoff
More informationSimple AC Circuits. Introduction
Simple AC Circuits Introduction Each problem in this problem set involves the steady state response of a linear, time-invariant circuit to a single sinusoidal input. Such a response is known to be sinusoidal
More informationLab 4 OHM S LAW AND KIRCHHOFF S CIRCUIT RULES
57 Name Date Partners Lab 4 OHM S LAW AND KIRCHHOFF S CIRCUIT RULES AMPS - VOLTS OBJECTIVES To learn to apply the concept of potential difference (voltage) to explain the action of a battery in a circuit.
More informationDesigning Information Devices and Systems I Spring 2019 Lecture Notes Note Introduction to Electrical Circuit Analysis
EECS 16A Designing Information Devices and Systems I Spring 2019 Lecture Notes Note 11 11.1 Introduction to Electrical Circuit Analysis Our ultimate goal is to design systems that solve people s problems.
More informationChapter 28. Direct Current Circuits
Chapter 28 Direct Current Circuits Outline 28.1 Electromotive Force 28.2 Resistors in Series and Parallel 28.3 Kirchhoff s Rules 28.1 Electromotive Force (emf) Because the potential difference at the battery
More informationFundamental of Electrical Engineering Lab Manual
Fundamental of Electrical Engineering Lab Manual EngE-111/318 Dr.Hidayath Mirza & Dr.Rais Ahmad Sheikh 1/9/19 EngE111 Testing Battery (DC) Testing AC Testing Wire 1 P a g e Resistor measurement Testing
More informationCombined Series and Parallel Circuits
Combined Series and Parallel Circuits Objectives: 1. Calculate the equivalent resistance, current, and voltage of series and parallel circuits. 2. Calculate the equivalent resistance of circuits combining
More informationSolving Parallel and Mixed Circuits, and Kirchhoff s Current Law
Exercise 7 Solving Parallel and Mixed Circuits, and Kirchhoff s Current Law EXERCISE OBJECTIVE When you have completed this exercise, you will be able to calculate the equivalent resistance of multiple
More informationLINEAR CIRCUIT ANALYSIS (EED) U.E.T. TAXILA 07 ENGR. M. MANSOOR ASHRAF
LINEAR CIRCUIT ANALYSIS (EED) U.E.T. TAXILA 07 ENGR. M. MANSOOR ASHRAF INTRODUCTION Applying Kirchhoff s laws to purely resistive circuits results in algebraic equations. While applying laws to RC and
More informationI. Objectives Upon completion of this experiment, the student should be able to: Ohm s Law
EENG-201 Experiment # 1 Series Circuit and Parallel Circuits I. Objectives Upon completion of this experiment, the student should be able to: 1. ead and use the resistor color code. 2. Use the digital
More informationSeries Circuits. Chapter
Chapter 4 Series Circuits Topics Covered in Chapter 4 4-1: Why I Is the Same in All Parts of a Series Circuit 4-2: Total R Equals the Sum of All Series Resistances 4-3: Series IR Voltage Drops 4-4: Kirchhoff
More informationENGR 1181 Lab 3: Circuits
ENGR 1181 Lab 3: Circuits - - Lab Procedure - Report Guidelines 2 Overview of Circuits Lab: The Circuits Lab introduces basic concepts of electric circuits such as series and parallel circuit, used in
More informationSCRIPT. Voltage Dividers
SCRIPT Hello friends in our earlier discussion we talked about series resistive circuits, when connected in series, resistors form a "string" in which there is only one path for current. Ohm's law can
More informationSolving Series Circuits and Kirchhoff s Voltage Law
Exercise 6 Solving Series Circuits and Kirchhoff s Voltage Law EXERCISE OBJECTIVE When you have completed this exercise, you will be able to calculate the equivalent resistance of multiple resistors in
More informationDC CIRCUITS AND OHM'S LAW
July 15, 2008 DC Circuits and Ohm s Law 1 Name Date Partners DC CIRCUITS AND OHM'S LAW AMPS - VOLTS OBJECTIVES OVERVIEW To learn to apply the concept of potential difference (voltage) to explain the action
More informationDetermine currents I 1 to I 3 in the circuit of Fig. P2.14. Solution: For the loop containing the 18-V source, I 1 = 0.
Prolem.14 Determine currents 1 to 3 in the circuit of Fig. P.14. 1 A 18 V Ω 3 A 1 8 Ω 1 Ω 7 Ω 4 Ω 3 Figure P.14: Circuit for Prolem.14. For the loop contining the 18-V source, Hence, 1 = 1.5 A. KCL t node
More informationUniversity f P rtland Sch l f Engineering
University f P rtland Sch l f Engineering Electric Circuits 101 Wednesday, November 31, 2012 (10312012) Happy Halloween! Copyright by Aziz S. Inan, Ph.D. http://faculty.up.edu/ainan/ Math puzzler # 1:
More informationExp. 1 USE OF BASIC ELECTRONIC MEASURING INSTRUMENTS, PART I
Exp. 1 USE OF BASIC ELECTRONIC MEASURING INSTRUMENTS, PART I PURPOSE: To become familiar with some of the instruments used in this and subsequent labs. To develop proper laboratory procedures relative
More informationOregon State University Lab Session #1 (Week 3)
Oregon State University Lab Session #1 (Week 3) ENGR 201 Electrical Fundamentals I Equipment and Resistance Winter 2016 EXPERIMENTAL LAB #1 INTRO TO EQUIPMENT & OHM S LAW This set of laboratory experiments
More informationPre-Lab for Batteries and Bulbs
Pre-Lab for Batteries and Bulbs Complex circuits composed of resistors can be simplified by using the concept of equivalent resistors. For example if resistors R 1, R 2, and R 3 are connected in series,
More informationOhm's Law and DC Circuits
Physics Lab II Ohm s Law Name: Partner: Partner: Partner: Ohm's Law and DC Circuits EQUIPMENT NEEDED: Circuits Experiment Board Two Dcell Batteries Wire leads Multimeter 100, 330, 560, 1k, 10k, 100k, 220k
More informationQUESTION BANK ETE (17331) CM/IF. Chapter1: DC Circuits
QUESTION BANK ETE (17331) CM/IF Chapter1: DC Circuits Q1. State & explain Ohms law. Also explain concept of series & parallel circuit with the help of diagram. 3M Q2. Find the value of resistor in fig.
More informationExercise 1: Thevenin to Norton Conversion
Exercise 1: Thevenin to Norton Conversion EXERCISE OBJECTIVE When you have completed this exercise, you will be able to convert a voltage source to a current source. You will verify your results by comparing
More informationOhm s Law and Electrical Circuits
Ohm s Law and Electrical Circuits INTRODUCTION In this experiment, you will measure the current-voltage characteristics of a resistor and check to see if the resistor satisfies Ohm s law. In the process
More information18-3 Circuit Analogies, and Kirchoff s Rules
18-3 Circuit Analogies, and Kirchoff s Rules Analogies can help us to understand circuits, because an analogous system helps us build a model of the system we are interested in. For instance, there are
More informationFig [5]
1 (a) Fig. 4.1 shows the I-V characteristic of a light-emitting diode (LED). 40 I / 10 3 A 30 20 10 0 1.0 1.5 2.0 V / V Fig. 4.1 (i) In Describe the significant features of the graph in terms of current,
More informationLab 3: Kirchhoff's Laws and Basic Instrumentation
Lab 3: Kirchhoff's Laws and Basic Instrumentation By: Gary A. Ybarra Christopher E. Cramer Duke Universty Department of Electrical and Computer Engineering Durham, NC 1. Purpose The purpose of this exercise
More informationES250: Electrical Science. HW6: The Operational Amplifier
ES250: Electrical Science HW6: The Operational Amplifier Introduction This chapter introduces the operational amplifier or op amp We will learn how to analyze and design circuits that contain op amps,
More information1 xx refers to the Figure number; 1 for Figure 1, 2 for Figure 2, etc.
Lab Experiment No. Voltage and Current Maps I. Introduction The purpose of this lab is to gain additional familiarity with making measurements on electrical networks. The experiments involved in this lab
More informationDirect Current Circuits
PC1143 Physics III Direct Current Circuits 1 Objectives Apply Kirchhoff s rules to several circuits, solve for the currents in the circuits and compare the theoretical values predicted by Kirchhoff s rule
More informationEE 105 Discussion #1: Fundamentals of Circuit Analysis
EE 105 Discussion #1: Fundamentals of Circuit Analysis 1.1 Ohm s Law V = ir i = V/R 1.2 KCL & KVL Kirchoff s Current Law (KCL) Kirchoff s Voltage Law (KVL) The algebraic sum of all currents entering a
More informationHomework Assignment 01
Homework Assignment 01 In this homework set students review some basic circuit analysis techniques, as well as review how to analyze ideal op-amp circuits. Numerical answers must be supplied using engineering
More informationEEE 2101 Circuit Theory I - Laboratory 1 Kirchoff s Laws, Series-Parallel Circuits
ame & Surname: D: Date: EEE 20 Circuit Theory - Laboratory Kirchoff s Laws, Series-Parallel Circuits List of topics for this laboratory: Ohm s Law Kirchoff s Current Law(KCL) Kirchoff s Voltage Law(KVL)
More informationElectric Circuits I. Simple Resistive Circuit. Dr. Firas Obeidat
Electric Circuits I Simple Resistive Circuit Dr. Firas Obeidat 1 Resistors in Series The equivalent resistance of any number of resistors connected in series is the sum of the individual resistances. It
More informationChapter two. Basic Laws. 2.1 Introduction
2.1 Introduction Chapter two Basic Laws Chapter 1 introduced basic concepts in an electric circuit. To actually determine the values of these variables in a given circuit requires that we understand some
More informationLaboratory 2. Lab 2. Instrument Familiarization and Basic Electrical Relations. Required Components: 2 1k resistors 2 1M resistors 1 2k resistor
Laboratory 2 nstrument Familiarization and Basic Electrical Relations Required Components: 2 1k resistors 2 1M resistors 1 2k resistor 2.1 Objectives This exercise is designed to acquaint you with the
More informationvi. Apply 3V DC to your circuit network and measure the current through each resistor vii. Verify Kirchhoff s Current Law
Lab Experiment No. EE1106, Fall 201 Connections I. Introduction In this lab exercise, you will learn how to read schematic diagrams of electronic networks, how to transform schematics into actual element
More informationChapter 20. Circuits. q I = t. (a) (b) (c) Energy Charge
Chapter 0 n an electric circuit, an energy source and an energy consuming device are connected by conducting wires through which electric charges move. Circuits Within a battery, a chemical reaction occurs
More informationKirchhoff s laws. Objectives. Assessment. Assessment. Assessment. Assessment 5/27/14. Apply Kirchhoff s first and second laws.
Kirchhoff s laws Objectives Apply Kirchhoff s first and second laws. Calculate the current and voltage for resistor circuits connected in parallel. Calculate the current and voltage for resistor circuits
More informationEE1305/EE1105 Homework Problems Packet
EE1305/EE1105 Homework Problems Packet P1 - The gate length of a tri-gate transistor is 22 nm. How many gate lengths fit across a human hair with a diameter of 100 μm? Show all units and unit conversions
More informationECE 201, Section 3 Lecture 12. Prof. Peter Bermel September 17, 2012
ECE 201, Section 3 Lecture 12 Prof. Peter ermel September 17, 2012 Exam #1: Thursday, Sep. 20 6:307:30 pm Most of you will be in WTHR 200, unless told otherwise Review session tonight at 8 pm (MTH 175)
More information1/15/2012. Overview. 06-Basic Laws Part 3 Text: Chapter Voltage Drop. Voltage Drop. Multi-Resistor Circuits. Voltage Drop
/5/0 Overview 0Basic Laws Part Text: Chapter 58 ECEG 0 Electric Circuits oltage Drop oltage Divider Series esistors Parallel esistors DeltaWye Conversion oltage Drop The voltage difference across the terminals
More informationDC Circuits. Date: Introduction
Group # Date: Names: DC Circuits Introduction In this experiment you will examine how to make simple DC measurements that involve current, voltage, and resistance. The current I through a resistor R with
More informationCHAPTER 4. Techniques of Circuit Analysis
CHAPTER 4 Techniques of Circuit Analysis 4.1 Terminology Planar circuits those circuits that can be drawn on a plane with no crossing branches. Figure 4.1 (a) A planar circuit. (b) The same circuit redrawn
More informationUnit-1(A) Circuit Analysis Techniques
Unit-1(A Circuit Analysis Techniques Basic Terms used in a Circuit 1. Node :- It is a point in a circuit where two or more circuit elements are connected together. 2. Branch :- It is that part of a network
More informationPrepare for this experiment!
Notes on Experiment #7 Prepare for this experiment! During this experiment you will be building the most elaborate circuit of the term. (See Figure 1. below for circuit diagram and values.) You will also
More informationVISUAL PHYSICS ONLINE. Experiment PA41A ELECTRIC CIRCUITS
VISUAL PHYSICS ONLINE Experiment PA41A ELECTRIC CIRCUITS Equipment (see Appendices) 12V DC power supply (battery): multimeter (and/or milliammeter and voltmeter); electrical leads; alligator clips; fixed
More information1. An engineer measures the (step response) rise time of an amplifier as. Estimate the 3-dB bandwidth of the amplifier. (2 points)
Exam 1 Name: Score /60 Question 1 Short Takes 1 point each unless noted otherwise. 1. An engineer measures the (step response) rise time of an amplifier as. Estimate the 3-dB bandwidth of the amplifier.
More informationCHAPTER 3: ELECTRIC CURRENT AND DIRECT CURRENT CIRCUIT
CHAPTER 3: ELECTRIC CURRENT AND DIRECT CURRENT CIRCUIT PSPM II 2005/2006 NO. 3 3. (a) Write Kirchhoff s law for the conservation of energy. FIGURE 2 (b) A circuit of two batteries and two resistors is
More informationCharge Current Voltage
ECE110 Introduction to Electronics What is? Charge Current Voltage 1 Kirchhoff s Current Law Current in = Current out Conservation of charge! (What goes in must come out, or the total coming in is zero)
More informationEE 331 Devices and Circuits I. Lecture 1 March 31, 2014
EE 331 Devices and Circuits I Lecture 1 March 31, 2014 Four Main Topics (Welcome to the Real World!) Physics of conduction in semiconductors (Chap 2) Solid state diodes physics, applications, and analysis
More informationReal Analog Chapter 3: Nodal & Mesh Analysis. 3 Introduction and Chapter Objectives. 3.1 Introduction and Terminology
Real Analog Chapter 3: Nodal & Mesh Analysis 1300 Henley Court Pullman, WA 99163 509.334.6306 www.store.digilent.com 3 Introduction and Chapter Objectives In Chapters 1 & 2, we introduced several tools
More informationPhysics Circuits. Day 1. QQ5. A charge of 45 C passes through a 12-ohm resistor in 5 seconds. What is the current?
Homework Procedure: Read pages specified in Honors Physics Essentials by Dan Fullerton. Questions labeled TQ will be questions about the text you read. These TQ s can be answered in one word, one phrase,
More informationReal Analog Chapter 2: Circuit Reduction. 2 Introduction and Chapter Objectives. After Completing this Chapter, You Should be Able to:
1300 Henley Court Pullman, WA 99163 509.334.6306 www.store. digilent.com 2 Introduction and Chapter Objectives In Chapter 1, we presented Kirchhoff's laws (which govern the interaction between circuit
More informationThe Fundamentals of Circuits
The Fundamentals of Circuits Now that we have an understanding of current and resistance, we re ready to start studying basic direct current (DC)circuits. We ll start with resistor circuits, and then move
More informationChapter 20 Electric Circuits
Chapter 20 Electric Circuits 1 20.1 Electromotive Force and Current In an electric circuit, an energy source and an energy consuming device are connected by conducting wires through which electric charges
More informationPhysicsAndMathsTutor.com 1
PhysicsAndMathsTutor.com 1 1. A 12 V 36 W lamp is lit to normal brightness using a 12 V car battery of negligible internal resistance. The lamp is switched on for one hour (3600 s). For the time of 1 hour,
More informationLab 5 Kirchhoff s Laws and Superposition
Lab 5 Kirchhoff s Laws and Superposition In this lab, Kirchhoff s laws will be investigated using a more complex circuit than in the previous labs. Two voltage sources and seven resistors are included
More informationVOLTAGE AND CURRENT RELATIONS AND POWER PART1: THREE PHASE VOLTAGE AND CURRENT RELATIONSHIPS
Islamic University of Gaza Faculty of Engineering Electrical Engineering department Electric Machine Lab Eng. Omar A. Qarmout Eng. Amani S. Abu Reyala Experiment 2 THREE PHASE AC CIRCUITS: VOLTAGE AND
More informationMixed Series & Parallel Circuits
Add Important Mixed Series & arallel Circuits age: 477 Mixed Series & arallel Circuits NGSS Standards: N/A MA Curriculum Frameworks (006): 5. A hysics 1 Learning Objectives: 5.B.9.1, 5.B.9., 5.B.9., 5.C..1,
More informationHomework Assignment 01
Homework Assignment 01 In this homework set students review some basic circuit analysis techniques, as well as review how to analyze ideal op-amp circuits. Numerical answers must be supplied using engineering
More informationhing/fall16/electric_circuits.html
http://sist.shanghaitech.edu.cn/faculty/zhoupq/teac hing/fall16/electric_circuits.html Circuit Terminology & Kirchhoff s Laws 9/14/2016 Reading: Chapter 1&2&3 2 Outline Circuit Terminology Charge, Current,
More information