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


 Gervais Austin
 1 years ago
 Views:
Transcription
1 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 other nodes and some element oltages: Notice that the 8 Ω resistor, the 0 Ω resistor and the two independent current sources are all connected in parallel. Consequently, the element oltages of theses elements can be labeled so that they are equal. Similarly, the 4 Ω resistor and the dependent current source are connected in parallel so their oltages can be labeled so as to be equal. Using Ohm s Law we see that the current directed downward in the 8 Ω resistor is directed downward in the 0 Ω resistor is Ω resistor is, current 8, and the current directed from left to right in the 0. Applying Kirchhoff s Current Law (KCL) at node a gies 5 = =.5 () 8 0 Using Ohm s Law we see that the current directed downward in the 4 Ω resistor is Kirchhoff s Current Law (KCL) at node a gies. Applying 4
2 +.5 = = 0 () 4 Applying Kirchhoff s Voltage Law (KVL) to the mesh consisting of the 0 Ω resistor, the Ω resistor and the dependent source to get + = 0 () Equations, and comprise a set of three simultaneous equations in the three unknown oltages, and. We can write these equations in matrix form as = 0 0 We can sole this matrix equation using MATLAB: Hence = V, = V and = V
3 The power supplied by the 5 A current source is ( ) supplied by the.5 A current source is ( ) 5 = = W. The power.5 = = 0.47 W. The power.5 = = W. supplied by the dependent current source is ( ) ( )( ) Obseration: Changing the order of the 8 Ω resistor, the 0 Ω resistor and the two independent current sources only changes the order of the terms in the KCL equation at node a. We know that addition is commutatie, so change the order of the terms will not affect the alues of the oltages, and. For example, if the positions of the.5 A current source and 8 Ω resistor are swithched: The KCL equation at node a is Similarly, when the circuit is drawn as 5 = = The KCL equation at node a is 5 = = The changes do not affect the alues of the oltages, and.
4 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 other nodes and some element currents: Notice that two 4 Ω resistors, an 8 Ω resistor and the two independent oltage sources are all connected in series. Consequently, the element currents of theses elements can be labeled so that they are equal. Similarly, a 4 Ω resistor and the dependent oltage source are connected in series so their currents can be labeled so as to be equal. The current in each resistor has been labeled so we can use Ohm s Law to calculate resistor oltages from the resistor currents and the resistances. Apply Kirchhoff s Voltage Law (KVL) to the left mesh to get 6 + 8i + 8i + 4i 5 + 4i = 0 6i + 8i = 9 () Apply Kirchhoff s Voltage Law (KVL) to the right mesh to get 4i + 5i 8i = 0 () Applying Kirchhoff s Current Law (KCL) at node a to get i = i + i i+ i + i = 0 () 4
5 Equations, and comprise a set of three simultaneous equations in the three unknown oltages, and. We can write these equations in matrix form as i i = 0 0 i We can sole this matrix equation using MATLAB: Hence i = A, i = A and i = 0.0 A The power supplied by the 5 V oltage source is ( ) supplied by the 6 V oltage source is i ( ) the dependent oltage source is ( i ) i ( )( ) 5i = = 6.65 W. The power 6 = =.4546 W. The power supplied by 5 = = W. 5
6 Obseration: Changing the order of the two 4 Ω resistors, an 8 Ω resistor and the two independent oltage sources in the left mesh changes the order of the terms in the KVL equation for that mesh. We know that addition is commutatie, so change the order of the terms will not affect the alues of the currents, and i. For example, when the circuit is drawn as i i The KVL equation for the left mesh is i + 4i + 8i + 4i = 0 6i + 8i = 9 When the circuit is drawn as The KVL equation for the left mesh is 4i + 4i + 8i i = 0 6i + 8i = 9 These changes do not affect the alues of the currents, and i. i i 6
07Nodal Analysis Text: ECEGR 210 Electric Circuits I
07Nodal Analysis Text: 3.1 3.4 ECEGR 210 Electric Circuits I Overview Introduction Nodal Analysis Nodal Analysis with Voltage Sources Dr. Louie 2 Basic Circuit Laws Ohm s Law Introduction Kirchhoff s Voltage
More informationChapter 4: Methods of Analysis
Chapter 4: Methods of Analysis 4.1 Motivation 4.2 Nodal Voltage Analysis 4.3 Simultaneous Eqs. & Matrix Inversion 4.4 Nodal Voltage Analysis with Voltage Sources 4.5 Mesh Current Analysis 4.6 Mesh Current
More informationCopyright The McGrawHill Companies, Inc. Permission required for reproduction or display.
AlexanderSadiku Fundamentals of Electric Circuits Chapter 3 Methods of Analysis Copyright The McGrawHill Companies, Inc. Permission required for reproduction or display. 1 Methods of Analysis  Chapter
More informationChapter 2. Circuit Analysis Techniques
Chapter 2 Circuit Analysis Techniques 1 Objectives To formulate the nodevoltage equations. To solve electric circuits using the node voltage method. To introduce the mesh current method. To formulate
More informationThevenin 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 informationEE 201 ELECTRIC CIRCUITS. Class Notes CLASS 8
EE 201 ELECTRIC CIRCUITS Class Notes CLASS 8 The material covered in this class will be as follows: Nodal Analysis in the Presence of Voltage Sources At the end of this class you should be able to: Apply
More informationNode and Mesh Analysis
Node and Mesh Analysis 1 Copyright ODL Jan 2005 Open University Malaysia Circuit Terminology Name Definition Node Essential node Path Branch Essential Branch Loop Mesh A point where two ore more branches
More informationProblem set #5 EE 221, 09/26/ /03/2002 1
Chapter 3, Problem 42. Problem set #5 EE 221, 09/26/2002 10/03/2002 1 In the circuit of Fig. 3.75, choose v 1 to obtain a current i x of 2 A. Chapter 3, Solution 42. We first simplify as shown, making
More informationElectric Circuits. Overview. Hani Mehrpouyan,
Electric Circuits Hani Mehrpouyan, Department of Electrical and Computer Engineering, Lecture 5 (Mesh Analysis) Sep 8 th, 205 Hani Mehrpouyan (hani.mehr@ieee.org) Boise State c 205 Overview With Ohm s
More informationECE 211 WORKSHOP: NODAL AND LOOP ANALYSIS. Tutor: Asad Akram
ECE 211 WORKSHOP: NODAL AND LOOP ANALYSIS Tutor: Asad Akram 1 AGENDA Background: KCL and KVL. Nodal Analysis: Independent Sources and relating problems, Dependent Sources and relating problems. Loop (Mesh
More informationCircuit Analysis using the Node and Mesh Methods
Circuit Analysis using the Node and Mesh Methods We have seen that using Kirchhoff s laws and Ohm s law we can analyze any circuit to determine the operating conditions (the currents and voltages). The
More informationSCHOOL OF MATHEMATICS MATHEMATICS FOR PART I ENGINEERING. Self Study Course
SCHOOL OF MATHEMATICS MATHEMATICS FOR PART I ENGINEERING Self Stud Course MODULE 27 FURTHER APPLICATIONS TO ELECTRICAL CIRCUITS Module Topics 1. Inverse of a matri using elimination 2. Mesh analsis of
More informationMeshCurrent Method (Loop Analysis)
MeshCurrent Method (Loop Analysis) Nodal analysis was developed by applying KCL at each nonreference node. MeshCurrent method is developed by applying KVL around meshes in the circuit. A mesh is a loop
More informationChapter 4: Techniques of Circuit Analysis
4.1 Terminology Example 4.1 a. Nodes: a, b, c, d, e, f, g b. Essential Nodes: b, c, e, g c. Branches: v 1, v 2, R 1, R 2, R 3, R 4, R 5, R 6, R 7, I d. Essential Branch: v 1 R 1, R 2 R 3, v 2 R 4, R
More informationModule 2. DC Circuit. Version 2 EE IIT, Kharagpur
Module 2 DC Circuit Lesson 5 Nodevoltage analysis of resistive circuit in the context of dc voltages and currents Objectives To provide a powerful but simple circuit analysis tool based on Kirchhoff s
More informationPreamble. Kirchoff Voltage Law (KVL) Series Resistors. In this section of my lectures we will be. resistor arrangements; series and
Preamble Series and Parallel Circuits Physics, 8th Edition Custom Edition Cutnell & Johnson Chapter 0.60.8, 0.0 Pages 6068, 696 n this section of my lectures we will be developing the two common types
More informationNodal and Loop Analysis
Nodal and Loop Analysis The process of analyzing circuits can sometimes be a difficult task to do. Examining a circuit with the node or loop methods can reduce the amount of time required to get important
More informationHow can we deal with a network branch which is part of two networks each with a source? R3 is carrying current supplied by each battery
Network nalysis ims: Consolidate use of KCL in circuit analysis. Use Principle of Superposition. Learn basics of Node Voltage nalysis (uses KCL) Learn basics of Mesh Current nalysis (uses KVL) Lecture
More information120 CHAPTER 3 NODAL AND LOOP ANALYSIS TECHNIQUES SUMMARY PROBLEMS SECTION 3.1
IRWI03_082132v3 8/26/04 9:41 AM Page 120 120 CHAPTER 3 NODAL AND LOOP ANALYSIS TECHNIQUES SUMMARY Nodal analysis for an Nnode circuit Select one node in the Nnode circuit as the reference node. Assume
More informationChapter 08. Methods of Analysis
Chapter 08 Methods of Analysis Source: Circuit Analysis: Theory and Practice Delmar Cengage Learning CC Tsai Outline Source Conversion Mesh Analysis Nodal Analysis DeltaWye ( Y) Conversion Bridge Networks
More informationThe 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 shortcut methods. Sometimes
More information4. Basic Nodal and Mesh Analysis
1 4. Basic Nodal and Mesh Analysis This chapter introduces two basic circuit analysis techniques named nodal analysis and mesh analysis 4.1 Nodal Analysis For a simple circuit with two nodes, we often
More informationMatrices & Their Applications: Nodal Analysis
Matrices & Their Applications: Nodal Analysis Introduction Nodal analysis is a method applied to electrical circuits to determine the nodal voltages. In electrical circuits nodes are points where two or
More informationChapter 07. SeriesParallel Circuits
Chapter 07 SeriesParallel Circuits Source: Circuit Analysis: Theory and Practice Delmar Cengage Learning The SeriesParallel Network Complex circuits May be separated both series and/or parallel elements
More informationSeriesParallel Circuits. Objectives
SeriesParallel Circuits Objectives Identify seriesparallel configuration Analyze seriesparallel circuits Apply KVL and KCL to the seriesparallel circuits Analyze loaded voltage dividers Determine the
More informationSeries and Parallel Resistive Circuits
Series and Parallel Resistive Circuits The configuration of circuit elements clearly affects the behaviour of a circuit. Resistors connected in series or in parallel are very common in a circuit and act
More informationGraph theory and systematic analysis
Electronic Circuits 1 Graph theory and systematic analysis Contents: Graph theory Tree and cotree Basic cutsets and loops Independent Kirchhoff s law equations Systematic analysis of resistive circuits
More informationBasic Laws Circuit Theorems Methods of Network Analysis NonLinear Devices and Simulation Models
EE Modul 1: Electric Circuits Theory Basic Laws Circuit Theorems Methods of Network Analysis NonLinear Devices and Simulation Models EE Modul 1: Electric Circuits Theory Current, Voltage, Impedance Ohm
More informationTristan s Guide to: Solving Parallel Circuits. Version: 1.0 Written in 2006. Written By: Tristan Miller Tristan@CatherineNorth.com
Tristan s Guide to: Solving Parallel Circuits. Version: 1.0 Written in 2006 Written By: Tristan Miller Tristan@CatherineNorth.com Parallel Circuits. Parallel Circuits are a little bit more complicated
More informationChapter 4 Objectives
Chapter 4 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 4 Objectives Understand and be able to use the nodevoltage method to solve a circuit; Understand and be able to use the meshcurrent method
More informationKirchhoff's Current Law (KCL)
Kirchhoff's Current Law (KCL) I. Charge (current flow) conservation law (the Kirchhoff s Current law) Pipe Pipe Pipe 3 Total volume of water per second flowing through pipe = total volume of water per
More informationChapter 5. Parallel Circuits ISU EE. C.Y. Lee
Chapter 5 Parallel Circuits Objectives Identify a parallel circuit Determine the voltage across each parallel branch Apply Kirchhoff s current law Determine total parallel resistance Apply Ohm s law in
More informationEECE251 Circuit Analysis Set 2: Methods of Circuit Analysis
EECE251 Circuit Analysis Set 2: Methods of Circuit Analysis Shahriar Mirabbasi Department of Electrical and Computer Engineering University of British Columbia shahriar@ece.ubc.ca 1 Reading Material Chapter
More informationUNIVERSITY OF CALIFORNIA BERKELEY Engineering 7 Department of Civil and Environmental Engineering. Linear Equations: Engineering Supplement
UNIVERSITY OF CALIFORNIA BERKELEY Engineering 7 Department of Civil and Environmental Engineering Spring 203 Professor: S. Govindjee Linear Equations: Engineering Supplement Introduction The workhorse
More informationModule 2. DC Circuit. Version 2 EE IIT, Kharagpur
Module DC Circuit Lesson 4 Loop Analysis of resistive circuit in the context of dc voltages and currents Objectives Meaning of circuit analysis; distinguish between the terms mesh and loop. To provide
More informationPhysics Worksheet Electric Circuits Section: Name: Series Circuits
Do Now: (1) What is electric circuit? (2) Convert the following picture into schematic diagram. Series Circuits 4. Label every component of the circuit; identify each of the voltage and current. 5. Relation
More informationADVANCED METHODS OF DC AND AC CIRCUIT
CHAPTER 11 ADVANCED METHODS OF DC AND AC CIRCUIT ANALYSIS Learning Objectives As a result of successfully completing this chapter, you should be able to: 1. Explain why more sophisticated methods of circuit
More informationCircuits 1 M H Miller
Introduction to Graph Theory Introduction These notes are primarily a digression to provide general background remarks. The subject is an efficient procedure for the determination of voltages and currents
More informationNODE ANALYSIS. One of the systematic ways to determine every voltage and current in a circuit
NODE ANALYSIS One of the systematic ways to determine eery oltage and current in a circuit The ariables used to describe the circuit will be Node oltages  The oltages of each node with respect to a preselected
More informationET304A Electric Circuits Laboratory Lab 3 Nodal Analysis and Measurement Error Estimation
ET30A Electric Circuits Laboratory Lab 3 Nodal Analysis and Measurement Error Estimation UOSE: n this lab, nodal analysis calculations find the circuit voltages with respect to the ground. Compare these
More informationChapter 21 Electric Current and DirectCurrent Circuit
Chapter 2 Electric Current and DirectCurrent Circuit Outline 2 Electric Current 22 Resistance and Ohm s Law 23 Energy and Power in Electric Circuit 24 Resistance in Series and Parallel 25 Kirchhoff
More informationKirchhoff s Laws. Kirchhoff's Law #1  The sum of the currents entering a node must equal the sum of the currents exiting a node.
Kirchhoff s Laws There are two laws necessary for solving circuit problems. For simple circuits, you have been applying these equations almost instinctively. Kirchhoff's Law #1  The sum of the currents
More information3. Introduction and Chapter Objectives
Real nalog Circuits Chapter 3: Nodal and Mesh nalysis 3. Introduction and Chapter Objectives In Chapters and 2, we introduced several tools used in circuit analysis: Ohm s law, Kirchoff s laws, and circuit
More information= (0.400 A) (4.80 V) = 1.92 W = (0.400 A) (7.20 V) = 2.88 W
Physics 2220 Module 06 Homework 0. What are the magnitude and direction of the current in the 8 Ω resister in the figure? Assume the current is moving clockwise. Then use Kirchhoff's second rule: 3.00
More informationExercise 3 (Resistive Network Analysis)
Circuit Analysis Exercise 0/0/08 Problem. (Hambley.49) Exercise (Resistive Network Analysis) Problem. (Hambley.5) Circuit Analysis Exercise 0/0/08 Problem. (Hambley.59) Problem 4. (Hambley.68) Circuit
More informationEMF and Terminal Voltage Resistors in Series and Parallel Kirchhoff s Rules EMFs in Series and Parallel; Charging a Battery Circuits with Capacitors
Chapter 19 DC Electrical Circuits Topics in Chapter 19 EMF and Terminal Voltage Resistors in Series and Parallel Kirchhoff s Rules EMFs in Series and Parallel; Charging a Battery Circuits with Capacitors
More informationEE 1202 Experiment #2 Resistor Circuits
EE 1202 Experiment #2 Resistor Circuits 1. ntroduction and Goals: Demonstrates the voltagecurrent relationships in DC and AC resistor circuits. Providing experience in using DC power supply, digital multimeter,
More informationAnalysis of a singleloop circuit using the KVL method
Analysis of a singleloop circuit using the KVL method Figure 1 is our circuit to analyze. We shall attempt to determine the current through each element, the voltage across each element, and the power
More informationCornerstone Electronics Technology and Robotics I Week 15 Combination Circuits (SeriesParallel Circuits)
Cornerstone Electronics Technology and Robotics I Week 15 Combination Circuits (SeriesParallel Circuits) Administration: o Prayer o Turn in quiz Electricity and Electronics, Chapter 8, Introduction: o
More informationResistors in Series and Parallel Circuits
69 Resistors in Series and Parallel Circuits E&M: Series and parallel circuits Equipment List DataStudio file: Not Required Qty s Part Numbers 1 C/DC Electronics Lab EM8656 2 D cell 1.5 volt Introduction
More informationLecture Notes: ECS 203 Basic Electrical Engineering Semester 1/2010. Dr.Prapun Suksompong 1 June 16, 2010
Sirindhorn International Institute of Technology Thammasat University School of Information, Computer and Communication Technology Lecture Notes: ECS 203 Basic Electrical Engineering Semester 1/2010 Dr.Prapun
More informationSeries and Parallel Circuits
Series and Parallel Circuits Components in a circuit can be connected in series or parallel. A series arrangement of components is where they are inline with each other, i.e. connected endtoend. A parallel
More information3LEARNING GOALS. Analysis Techniques
IRWI3_8232hr 9/3/4 8:54 AM Page 82 3 Nodal 3LEARNING GOALS and Loop Analysis Techniques 3. Nodal Analysis An analysis technique in which one node in an Nnode network is selected as the reference node and
More informationEquivalent Circuits and Transfer Functions
R eq isc Equialent Circuits and Transfer Functions Samantha R Summerson 14 September, 009 1 Equialent Circuits eq ± Figure 1: Théenin equialent circuit. i sc R eq oc Figure : MayerNorton equialent circuit.
More informationDC mesh current analysis
DC mesh current analysis This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,
More informationDepartment 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 information8.2. Solution by Inverse Matrix Method. Introduction. Prerequisites. Learning Outcomes
Solution by Inverse Matrix Method 8.2 Introduction The power of matrix algebra is seen in the representation of a system of simultaneous linear equations as a matrix equation. Matrix algebra allows us
More informationW03 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 informationLab 4 Series and Parallel Resistors
Lab 4 Series and Parallel Resistors What You Need To Know: (a) (b) R 3 FIGURE  Circuit diagrams. (a) and are in series. (b) and are not in series. The Physics Last week you examined how the current and
More informationES250: Electrical Science. HW7: Energy Storage Elements
ES250: Electrical Science HW7: Energy Storage Elements Introduction This chapter introduces two more circuit elements, the capacitor and the inductor whose elements laws involve integration or differentiation;
More informationCircuits. The light bulbs in the circuits below are identical. Which configuration produces more light? (a) circuit I (b) circuit II (c) both the same
Circuits The light bulbs in the circuits below are identical. Which configuration produces more light? (a) circuit I (b) circuit II (c) both the same Circuit II has ½ current of each branch of circuit
More informationExperiment 8 SeriesParallel Circuits
Experiment 8 SeriesParallel Circuits EL 111  DC Fundamentals By: Walter Banzhaf, E.K. Smith, and Winfield Young University of Hartford Ward College of Technology Objectives: 1. For the student to measure
More informationRecitation 6 Chapter 21
Recitation 6 hapter 21 Problem 35. Determine the current in each branch of the circuit shown in Figure P21.35. 3. Ω 5. Ω 1. Ω 8. Ω 1. Ω ɛ 2 4 12 Let be the current on the left branch (going down), be the
More information13.10: How Series and Parallel Circuits Differ pg. 571
13.10: How Series and Parallel Circuits Differ pg. 571 Key Concepts: 5. Connecting loads in series and parallel affects the current, potential difference, and total resistance.  Using your knowledge of
More informationAP Physics Electricity and Magnetism #4 Electrical Circuits, Kirchoff s Rules
Name Period AP Physics Electricity and Magnetism #4 Electrical Circuits, Kirchoff s Rules Dr. Campbell 1. Four 240 Ω light bulbs are connected in series. What is the total resistance of the circuit? What
More informationDC Circuits (Combination of resistances)
Name: Partner: Partner: Partner: DC Circuits (Combination of resistances) EQUIPMENT NEEDED: Circuits Experiment Board One Dcell Battery Wire leads Multimeter 100, 330, 1k resistors Purpose The purpose
More informationTutorial 12 Solutions
PHYS000 Tutorial 2 solutions Tutorial 2 Solutions. Two resistors, of 00 Ω and 200 Ω, are connected in series to a 6.0 V DC power supply. (a) Draw a circuit diagram. 6 V 00 Ω 200 Ω (b) What is the total
More informationPROCEDURE: 1. Measure and record the actual values of the four resistors listed in Table 101.
The answer to two questions will help you identify a series or parallel connection: (1) Will the identical current go through both components? f the answer is yes, the components are in series. (2) Are
More informationStudents will need about 30 minutes to complete these constructed response tasks.
Electric Title of Circuits Concept Constructed Response Teacher Guide Students will need about 30 minutes to complete these constructed response tasks. Objectives assessed: Understand the functions of
More informationQ1. (a) The diagram shows the voltagecurrent graphs for three different electrical components.
Q. (a) The diagram shows the voltagecurrent graphs for three different electrical components. Which one of the components A, B or C could be a 3 volt filament lamp? Explain the reason for your choice...................
More informationSeries and Parallel Circuits
PreLaboratory Assignment Series and Parallel Circuits ECE 2100 Circuit Analysis Laboratory updated 16 May 2011 1. Consider the following series circuit. Derive a formula to calculate voltages V 1, V 2,
More informationAn Introduction to the Mofied Nodal Analysis
An Introduction to the Mofied Nodal Analysis Michael Hanke May 30, 2006 1 Introduction Gilbert Strang provides an introduction to the analysis of electrical circuits in his book Introduction to Applied
More informationDepartment 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 Fall 2016 Section 1, Call No. 84063,
More informationLaplace Transforms Circuit Analysis Passive element equivalents Review of ECE 221 methods in s domain Many examples
Laplace Transforms Circuit Analysis Passive element equivalents Review of ECE 221 methods in s domain Many examples J. McNames Portland State University ECE 222 Laplace Circuits Ver. 1.63 1 Example 1:
More information(6)(2) (6)(4) (4)(6) + (2)(3) + (4)(3) + (2)(3) = 1224 + 24 + 6 + 12 6 = 0
Chapter 3 Homework Soluton P3., 4, 6, 0, 3, 7, P3.3, 4, 6, P3.4, 3, 6, 9, P3.5 P3.6, 4, 9, 4,, 3, 40  P 3. Determne the alues of, 4,, 3, and 6
More informationLecture 7 Circuit analysis via Laplace transform
S. Boyd EE12 Lecture 7 Circuit analysis via Laplace transform analysis of general LRC circuits impedance and admittance descriptions natural and forced response circuit analysis with impedances natural
More informationKirchhoff s Voltage Law and RC Circuits
Kirchhoff s oltage Law and RC Circuits Apparatus 2 1.5 batteries 2 battery holders DC Power Supply 1 multimeter 1 capacitance meter 2 voltage probes 1 long bulb and 1 round bulb 2 sockets 1 set of alligator
More informationTECHNIQUES OF. C.T. Pan 1. C.T. Pan
TECHNIQUES OF CIRCUIT ANALYSIS C.T. Pan 1 4.1 Introduction 4.2 The NodeVoltage Method ( Nodal Analysis ) 4.3 The MeshCurrent Method ( Mesh Analysis ) 4.4 Fundamental Loop Analysis 4.5 Fundamental Cutset
More informationExperiment NO.3 Series and parallel connection
Experiment NO.3 Series and parallel connection Object To study the properties of series and parallel connection. Apparatus 1. DC circuit training system 2. Set of wires. 3. DC Power supply 4. Digital A.V.O.
More informationLAB2 Resistors, Simple Resistive Circuits in Series and Parallel Objective:
LAB2 Resistors, Simple Resistive Circuits in Series and Parallel Objective: In this lab, you will become familiar with resistors and potentiometers and will learn how to measure resistance. You will also
More informationProject 4: Introduction to Circuits The attached Project was prepared by Professor YihFang Huang from the department of Electrical Engineering.
Project 4: Introduction to Circuits The attached Project was prepared by Professor YihFang Huang from the department of Electrical Engineering. The examples given are example of basic problems that you
More informationNodal Analysis Objective: To analyze circuits using a systematic technique: the nodal analysis.
Circuits (MTE 20) (Spring 200) Nodal Analysis Objective: To analyze circuits using a systematic technique: the nodal analysis. http://pami.uwaterloo.ca/~akrem/ University of Waterloo, Electrical and Computer
More informationLab 7: Operational Amplifiers Part I
Lab 7: Operational Amplifiers Part I Objectives The objective of this lab is to study operational amplifier (op amp) and its applications. We will be simulating and building some basic op amp circuits,
More informationCurrent and Voltage Measurements. Current measurement
Current and oltage easurements Current measurement ccording to current continuity (i.e. charge conservation) law, the current can be measured in any portion of a single loop circuit. B Circuit Element
More informationJ.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 informationChapter 19 DC Circuits
Lecture PowerPoints Chapter 19 Physics: Principles with Applications, 6 th edition Giancoli Chapter 19 DC Circuits 2005 Pearson Prentice Hall This work is protected by United States copyright laws and
More informationLecture 3: DC Analysis of Diode Circuits.
Whites, EE 320 Lecture 3 Page 1 of 10 Lecture 3: DC Analysis of Diode Circuits. We ll now move on to the DC analysis of diode circuits. Applications will be covered in following lectures. Let s consider
More information1 2 3 1 1 2 x = + x 2 + x 4 1 0 1
(d) If the vector b is the sum of the four columns of A, write down the complete solution to Ax = b. 1 2 3 1 1 2 x = + x 2 + x 4 1 0 0 1 0 1 2. (11 points) This problem finds the curve y = C + D 2 t which
More informationExperiment 4 ~ Resistors in Series & Parallel
Experiment 4 ~ Resistors in Series & Parallel Objective: In this experiment you will set up three circuits: one with resistors in series, one with resistors in parallel, and one with some of each. You
More informationUnit 7: Electric Circuits
Multiple Choice Portion 1. The diagram below shows part of an electrical circuit. Unit 7: Electric Circuits 4. A 12 V battery supplies a 5.0 A current to two light bulbs as shown below. What are the magnitude
More informationChapter 17 11/13/2014
Chapter 17 Voltage / Current source conversions Mesh and Nodal analysis in an AC circuit Balance conditions and what elements are needed in a bridge network ECET 207 AC Circuit Analysis, PNC 2 1 Magnitude
More informationStudent Exploration: Circuits
Name: Date: Student Exploration: Circuits Vocabulary: ammeter, circuit, current, ohmmeter, Ohm s law, parallel circuit, resistance, resistor, series circuit, voltage Prior Knowledge Questions (Do these
More informationTHE 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 informationChapter 23 Circuits. Reading Quiz. Answer. Reading Quiz. Topics: Sample question:
Chapter 23 Circuits Topics: Circuits containing multiple elements Series and parallel combinations RC circuits Electricity in the nervous system Reading Quiz 1. The bulbs in the circuit below are connected.
More informationTristan s Guide to: Solving Series Circuits. Version: 1.0 Written in 2006. Written By: Tristan Miller Tristan@CatherineNorth.com
Tristan s Guide to: Solving Series Circuits. Version: 1.0 Written in 2006 Written By: Tristan Miller Tristan@CatherineNorth.com Series Circuits. A Series circuit, in my opinion, is the simplest circuit
More informationTutorial Problems: Bipolar Junction Transistor (Basic BJT Amplifiers)
Tutorial Problems: Bipolar Junction Transistor (Basic BJT Amplifiers) Part A. CommonEmitter Amplifier 1. For the circuit shown in Figure 1, the transistor parameters are β = 100 and V A =. Design the
More informationSection 9: Resistors in Series and Parallel
Section 9: esistors in Series and Parallel In other words, if resistors are connected in series the total resistance is equal to the sum of the individual resistors. If all resistors have the same value
More informationFig. 1 Analogue Multimeter Fig.2 Digital Multimeter
ELECTRICAL INSTRUMENT AND MEASUREMENT Electrical measuring instruments are devices used to measure electrical quantities such as electric current, voltage, resistance, electrical power and energy. MULTIMETERS
More information2.1 Introduction. 2.2 Terms and definitions
.1 Introduction An important step in the procedure for solving any circuit problem consists first in selecting a number of independent branch currents as (known as loop currents or mesh currents) variables,
More informationAnalog and Digital Meters
Analog and Digital Meters Devices and Measurements Objective At the conclusion of this presentation the student will describe and identify: Safety precautions when using test equipment Analog Multimeters
More information