Mesh-Current Method (Loop Analysis)

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Mesh-Current Method (Loop Analysis)"

Transcription

1 Mesh-Current Method (Loop Analysis) Nodal analysis was developed by applying KCL at each non-reference node. Mesh-Current method is developed by applying KVL around meshes in the circuit. A mesh is a loop which doesn't contain any other loops within it. Loop (mesh) analysis results in a system of linear equations which must be solved for unknown currents. Reduces the number of required equations to the number of meshes Can be done systematically with little thinking As usual, be careful writing mesh equations follow sign convention. 1

2 Powerful analysis method which applies KVL to find unknown currents. It is applicable to a circuit with no branches crossing each other. no branches Crossing 2

3 Definitions A mesh is a loop which does not contain any other loops within it. i 4 i 1 A + - B i g i 2 C i 3 i 5 3

4 Steps of Mesh Analysis Step1 Identify the number of basic meshes. Step 2 Assign a current to each mesh. 4

5 Step 3 Apply KVL around each loop to get an equation in terms of the loop currents. Step 4 Solve the resulting system of linear equations. As an example V 1 + I 1 R 1 + (I 1 - I 2 ) R 3 = 0 I 2 R 2 + V 2 + (I 2 -I 1 ) R 3 = 0 5

6 Example Use mesh analysis to find the current i o Solution We apply KVL to the three meshes For mesh 1 Divide by 2 For mesh 2 Divide by 2 6

7 For mesh 3 at node A By Substitution Divide by 2 7

8 Cases to be considered for Mesh Analysis Case I A current source exists only in one mesh set i 2 = 5A and write a mesh equation for the other mesh For Loop i 1 + 6(i 1 -i 2 ) = 0 For Loop 2 i 2 = - 5A (No need to write a loop equation) 8

9 Case II A current source exists between two meshes Exclude this part 9

10 a supermesh was created by excluding the current source and any elements connected in series with it, Why??? Because mesh analysis applies KVL we do not know the voltage across a current source in advance. A supermesh results when two meshes have a (dependent or independent) current source in common. 10

11 Applying KVL to the supermesh i 1 i 2 Apply KCL to a node in the branch where the two meshes intersect. 11

12 Case III Mesh with Dependent Sources Solve for I x i x = i 1 - i i (i 1 -i 2 ) = 0 10i x + 20(i 2 -i 1 ) + 4i 2 = 0 Solve the two equations i (i 1 -i 2 ) = 0 (1) 10(i 1 -i 2 ) + 20(i 2 -i 1 ) + 4i 2 = 0.(2) then i 2 = 5A i 1 = 7A 12

13 Example: Use the mesh-current method to find i o 13

14 Solution meshes 1 and 2 form a supermesh meshes 2 and 3 form a supermesh 14

15 Applying KVL to the larger supermesh, 15

16 For the independent current source, we apply KCL to node P 16

17 For the dependent current source, we apply KCL to node Q: 17

18 Applying KVL in mesh 4, 18

4. Basic Nodal and Mesh Analysis

4. 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 information

Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Alexander-Sadiku Fundamentals of Electric Circuits Chapter 3 Methods of Analysis Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1 Methods of Analysis - Chapter

More information

Chapter 4: Techniques of Circuit Analysis

Chapter 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 information

Chapter 2. Circuit Analysis Techniques

Chapter 2. Circuit Analysis Techniques Chapter 2 Circuit Analysis Techniques 1 Objectives To formulate the node-voltage equations. To solve electric circuits using the node voltage method. To introduce the mesh current method. To formulate

More information

120 CHAPTER 3 NODAL AND LOOP ANALYSIS TECHNIQUES SUMMARY PROBLEMS SECTION 3.1

120 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 information

EE 201 ELECTRIC CIRCUITS. Class Notes CLASS 8

EE 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 information

Chapter 4: Methods of Analysis

Chapter 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 information

07-Nodal Analysis Text: ECEGR 210 Electric Circuits I

07-Nodal 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 information

Node and Mesh Analysis

Node 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 information

Chapter 4 Objectives

Chapter 4 Objectives Chapter 4 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 4 Objectives Understand and be able to use the node-voltage method to solve a circuit; Understand and be able to use the mesh-current method

More information

Problem set #5 EE 221, 09/26/ /03/2002 1

Problem 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 information

EECE251 Circuit Analysis Set 2: Methods of Circuit Analysis

EECE251 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 information

Electric Circuits. Overview. Hani Mehrpouyan,

Electric 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 information

Module 2. DC Circuit. Version 2 EE IIT, Kharagpur

Module 2. DC Circuit. Version 2 EE IIT, Kharagpur Module 2 DC Circuit Lesson 5 Node-voltage 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 information

ECE 211 WORKSHOP: NODAL AND LOOP ANALYSIS. Tutor: Asad Akram

ECE 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 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

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

Chapter 08. Methods of Analysis

Chapter 08. Methods of Analysis Chapter 08 Methods of Analysis Source: Circuit Analysis: Theory and Practice Delmar Cengage Learning C-C Tsai Outline Source Conversion Mesh Analysis Nodal Analysis Delta-Wye ( -Y) Conversion Bridge Networks

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

How 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

How 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 information

ADVANCED METHODS OF DC AND AC CIRCUIT

ADVANCED 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 information

Basic circuit analysis

Basic circuit analysis EIE209 Basic Electronics Basic circuit analysis Analysis 1 Fundamental quantities Voltage potential difference bet. 2 points across quantity analogous to pressure between two points Current flow of charge

More information

TECHNIQUES OF. C.T. Pan 1. C.T. Pan

TECHNIQUES OF. C.T. Pan 1. C.T. Pan TECHNIQUES OF CIRCUIT ANALYSIS C.T. Pan 1 4.1 Introduction 4.2 The Node-Voltage Method ( Nodal Analysis ) 4.3 The Mesh-Current Method ( Mesh Analysis ) 4.4 Fundamental Loop Analysis 4.5 Fundamental Cutset

More information

Nodal Analysis Objective: To analyze circuits using a systematic technique: the nodal analysis.

Nodal 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 information

Circuit Analysis using the Node and Mesh Methods

Circuit 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 information

Graph theory and systematic analysis

Graph 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 information

SCHOOL OF MATHEMATICS MATHEMATICS FOR PART I ENGINEERING. Self Study Course

SCHOOL 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 information

Circuits 1 M H Miller

Circuits 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 information

Series and Parallel Resistors

Series and Parallel Resistors Series and Parallel Resistors 1 Objectives To calculate the equivalent resistance of series and parallel resistors. 2 Examples for resistors in parallel and series R 4 R 5 Series R 6 R 7 // R 8 R 4 //

More information

Nodal and Loop Analysis

Nodal 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 information

3LEARNING GOALS. Analysis Techniques

3LEARNING 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 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

EE201 Circuit Theory I 2015 Spring. Dr. Yılmaz KALKAN

EE201 Circuit Theory I 2015 Spring. Dr. Yılmaz KALKAN EE201 Crcut Theory I 2015 Sprng Dr. Yılmaz KALKAN 1. Basc Concepts (Chapter 1 of Nlsson - 3 Hrs.) Introducton, Current and Voltage, Power and Energy 2. Basc Laws (Chapter 2&3 of Nlsson - 6 Hrs.) Voltage

More information

(a) Working from right to left, and borrowing x y notation from resistance calculations to indicate the operation xy/(x + y),

(a) Working from right to left, and borrowing x y notation from resistance calculations to indicate the operation xy/(x + y), 1 Problem set #6, EE 221, 10/08/2002 10/15/2002 Chapter 3, Problem 55. Determine G in in for each network shown in Fig. 3.86. Values are all given in millisiemens. Chapter 3, Solution 55. (a) Working from

More information

Appendix B: Solving Simultaneous Equations

Appendix B: Solving Simultaneous Equations Appendix B: Solving Simultaneous Equations Electric circuit analysis methods help us solve for the unknown voltages and currents in the circuits: Kirchhoff s circuit law solves for unknown branch currents

More information

UNIVERSITY 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. 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 information

Module 2. DC Circuit. Version 2 EE IIT, Kharagpur

Module 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 information

Solving for Voltage and Current

Solving for Voltage and Current Chapter 3 Solving for Voltage and Current Nodal Analysis If you know Ohm s Law, you can solve for all the voltages and currents in simple resistor circuits, like the one shown below. In this chapter, we

More information

3. Introduction and Chapter Objectives

3. 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

Matrices & Their Applications: Nodal Analysis

Matrices & 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 information

Series and Parallel Resistive Circuits

Series 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 information

Verification of Ohm s Law, Kirchoff s Voltage Law and Kirchoff s Current Law Brad Peirson

Verification of Ohm s Law, Kirchoff s Voltage Law and Kirchoff s Current Law Brad Peirson Verification of Ohm s Law, Kirchoff s Voltage Law and Kirchoff s Current Law Brad Peirson 2-24-05 EGR 214 Circuit Analysis I Laboratory Section 04 Prof. Blauch Abstract The purpose of this report is to

More information

Chapter 2 Objectives

Chapter 2 Objectives Chapter 2 Engr228 Circuit Analysis Dr Curtis Nelson Chapter 2 Objectives Understand symbols and behavior of the following circuit elements: Independent voltage and current sources; Dependent voltage and

More information

Irwin, Basic Engineering Circuit Analysis, 9/E 1 3.1 P3.1. Figure P3.1. Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.

Irwin, Basic Engineering Circuit Analysis, 9/E 1 3.1 P3.1. Figure P3.1. Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3. Irwin, Basic Engineering Circuit Analysis, 9/E 1 3.1 P3.1 Figure P3.1 3k Chapter 3: Loop and Nodal Techniques for Circuit Analysis Problem 3.1 Ch03.indd 1 12/22/08 4:40:33 PM Irwin, Basic Engineering Circuit

More information

Lecture Notes: ECS 203 Basic Electrical Engineering Semester 1/2010. Dr.Prapun Suksompong 1 June 16, 2010

Lecture 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 information

NODAL ANALYSIS. Circuits Nodal Analysis 1 M H Miller

NODAL ANALYSIS. Circuits Nodal Analysis 1 M H Miller NODAL ANALYSIS A branch of an electric circuit is a connection between two points in the circuit. In general a simple wire connection, i.e., a 'short-circuit', is not considered a branch since it is known

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

ES203 Electrical Systems Study Guide. C.A. Berry

ES203 Electrical Systems Study Guide. C.A. Berry ES203 Electrical Systems Study Guide C.A. Berry ES203 Electrical Systems Study Guide Lecture 1-1: Introduction and Overview eading: 1.1-3 Objectives: Be able to briefly and clearly explain static electricity,

More information

Project 4: Introduction to Circuits The attached Project was prepared by Professor Yih-Fang Huang from the department of Electrical Engineering.

Project 4: Introduction to Circuits The attached Project was prepared by Professor Yih-Fang Huang from the department of Electrical Engineering. Project 4: Introduction to Circuits The attached Project was prepared by Professor Yih-Fang Huang from the department of Electrical Engineering. The examples given are example of basic problems that you

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 Fall 2016 Section 1, Call No. 84063,

More information

Series-Parallel Circuits. Objectives

Series-Parallel Circuits. Objectives Series-Parallel Circuits Objectives Identify series-parallel configuration Analyze series-parallel circuits Apply KVL and KCL to the series-parallel circuits Analyze loaded voltage dividers Determine 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

Chapter 07. Series-Parallel Circuits

Chapter 07. Series-Parallel Circuits Chapter 07 Series-Parallel Circuits Source: Circuit Analysis: Theory and Practice Delmar Cengage Learning The Series-Parallel Network Complex circuits May be separated both series and/or parallel elements

More information

EE301 - PARALLEL CIRCUITS AND KIRCHHOFF S CURRENT LAW

EE301 - PARALLEL CIRCUITS AND KIRCHHOFF S CURRENT LAW Objectives a. estate the definition of a node and demonstrate how to measure voltage and current in parallel circuits b. Solve for total circuit resistance of a parallel circuit c. State and apply KCL

More information

EXAMPLE 8: An Electrical System (Mechanical-Electrical Analogy)

EXAMPLE 8: An Electrical System (Mechanical-Electrical Analogy) EXAMPLE 8: An Electrical System (Mechanical-Electrical Analogy) A completely analogous procedure can be used to find the state equations of electrical systems (and, ultimately, electro-mechanical systems

More information

2: Resistor Circuits. E1.1 Analysis of Circuits ( ) Resistor Circuits: 2 1 / 13. 2: Resistor Circuits

2: Resistor Circuits. E1.1 Analysis of Circuits ( ) Resistor Circuits: 2 1 / 13. 2: Resistor Circuits and E1.1 Analysis of Circuits (2016-8284) Resistor Circuits: 2 1 / 13 Kirchoff s Voltage Law and The five nodes are labelled A, B, C, D, E wheree is the reference node. Each component that links a pair

More information

Chapter 17 11/13/2014

Chapter 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 information

An Introduction to the Mofied Nodal Analysis

An 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 information

Dependent Sources: Introduction and analysis of circuits containing dependent sources.

Dependent Sources: Introduction and analysis of circuits containing dependent sources. Dependent Sources: Introduction and analysis of circuits containing dependent sources. So far we have explored timeindependent (resistive) elements that are also linear. We have seen that two terminal

More information

2.1 Introduction. 2.2 Terms and definitions

2.1 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 information

ES250: Electrical Science. HW7: Energy Storage Elements

ES250: 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 information

BASIC ELECTRONICS PROF. T.S. NATARAJAN DEPT OF PHYSICS IIT MADRAS LECTURE-4 SOME USEFUL LAWS IN BASIC ELECTRONICS

BASIC ELECTRONICS PROF. T.S. NATARAJAN DEPT OF PHYSICS IIT MADRAS LECTURE-4 SOME USEFUL LAWS IN BASIC ELECTRONICS BASIC ELECTRONICS PROF. T.S. NATARAJAN DEPT OF PHYSICS IIT MADRAS LECTURE-4 SOME USEFUL LAWS IN BASIC ELECTRONICS Hello everybody! In a series of lecture on basic electronics, learning by doing, we now

More information

Kirchhoff 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. 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 information

Preamble. Kirchoff Voltage Law (KVL) Series Resistors. In this section of my lectures we will be. resistor arrangements; series and

Preamble. 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 0.6-0.8, 0.0 Pages 60-68, 69-6 n this section of my lectures we will be developing the two common types

More information

Unit 1 Physics Foundation, Circuit Elements, KVL & KCL Unit 2 Analysis Techniques Unit 3 Op Amps & Two-Ports

Unit 1 Physics Foundation, Circuit Elements, KVL & KCL Unit 2 Analysis Techniques Unit 3 Op Amps & Two-Ports Unit 1 Physics Foundation, Circuit Elements, KVL & KCL Unit 2 Analysis Techniques Unit 3 Op Amps & Two-Ports ROSE-HULMAN INSTITUTE OF TECHNOLOGY ECE 203 DC Circuits Winter 09-10 Course Information and

More information

International Islamic University Chittagong Department of Electrical & Electronics Engineering

International Islamic University Chittagong Department of Electrical & Electronics Engineering International Islamic University Chittagong Department of Electrical & Electronics Engineering Course No: EEE 1102 Course Title: Electrical Circuit I Sessional Experiment No : 01 Experiment Name: Introduction

More information

DC mesh current analysis

DC 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 information

Analysis of a single-loop circuit using the KVL method

Analysis of a single-loop circuit using the KVL method Analysis of a single-loop 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 information

J. McNames Portland State University ECE 221 Basic Laws Ver

J. McNames Portland State University ECE 221 Basic Laws Ver Basic Laws Overview Ideal sources: series & parallel Resistance & Ohm s Law Definitions: open circuit, short circuit, conductance Definitions: nodes, branches, & loops Kirchhoff s Laws Voltage dividers

More information

Lecture 7 Circuit analysis via Laplace transform

Lecture 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 information

5.1. Systems of Linear Equations. Linear Systems Substitution Method Elimination Method Special Systems

5.1. Systems of Linear Equations. Linear Systems Substitution Method Elimination Method Special Systems 5.1 Systems of Linear Equations Linear Systems Substitution Method Elimination Method Special Systems 5.1-1 Linear Systems The possible graphs of a linear system in two unknowns are as follows. 1. The

More information

First Order Transient Response

First Order Transient Response First Order Transient Response When non-linear elements such as inductors and capacitors are introduced into a circuit, the behaviour is not instantaneous as it would be with resistors. A change of state

More information

to-tee) Equivalent Circuits

to-tee) Equivalent Circuits SIMPLE ESISTIVE CICUIT ANALYSIS C.T. Pan 1 3.1 Series esistive Circuits 3. Parallel esistive Circuits 3.3 Voltage-divider and Current-divider Circuits 3.4 Measuring Current and Voltage 3.5 Measuring esistance-the

More information

Application of Linear Algebra in. Electrical Circuits

Application of Linear Algebra in. Electrical Circuits Application of Linear Algebra in Electrical Circuits Seamleng Taing Math 308 Autumn 2001 December 2, 2001 Table of Contents Abstract..3 Applications of Linear Algebra in Electrical Circuits Explanation..

More information

Lecture 12: DC Analysis of BJT Circuits.

Lecture 12: DC Analysis of BJT Circuits. Whites, 320 Lecture 12 Page 1 of 9 Lecture 12: D Analysis of JT ircuits. n this lecture we will consider a number of JT circuits and perform the D circuit analysis. For those circuits with an active mode

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

A Practical Exercise Name: Section:

A Practical Exercise Name: Section: Updated 16 AUG 2016 A Practical Exercise Name: Section: I. Purpose. 1. Review the construction of a DC series circuit on a quad board from a circuit schematic. 2. Review the application of Kirchhoff s

More information

Lecture 3: DC Analysis of Diode Circuits.

Lecture 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 information

Chapter 6. Series-Parallel Circuits. Objectives

Chapter 6. Series-Parallel Circuits. Objectives Chapter 6 Series-Parallel Circuits Objectives Identify series-parallel relationships Analyze series-parallel circuits Analyze loaded voltage dividers Determine the loading effect of a voltmeter on a circuit

More information

LOOP ANALYSIS. The second systematic technique to determine all currents and voltages in a circuit

LOOP ANALYSIS. The second systematic technique to determine all currents and voltages in a circuit LOOP ANALYSS The second systematic technique to determine all currents and voltages in a circuit T S DUAL TO NODE ANALYSS - T FRST DETERMNES ALL CURRENTS N A CRCUT AND THEN T USES OHM S LAW TO COMPUTE

More information

Basic Electronics Prof. Dr. Chitralekha Mahanta Department of Electronics and Communication Engineering Indian Institute of Technology, Guwahati

Basic Electronics Prof. Dr. Chitralekha Mahanta Department of Electronics and Communication Engineering Indian Institute of Technology, Guwahati Basic Electronics Prof. Dr. Chitralekha Mahanta Department of Electronics and Communication Engineering Indian Institute of Technology, Guwahati Module: 2 Bipolar Junction Transistors Lecture-2 Transistor

More information

Chapter 3 Nodal and Mesh Equations - Circuit Theorems

Chapter 3 Nodal and Mesh Equations - Circuit Theorems Chapter 3 Nodal and Mesh Equations - Circuit Theems 3.14 Exercises Multiple Choice 1. The oltage across the resist in the circuit of Figure 3.67 is A. B. C. D. E. 6 V 16 V 8 V 32 V none of the aboe 6 V

More information

Capacitors Initial and Final Response to a "Step Function"

Capacitors Initial and Final Response to a Step Function Capacitors Initial and Final esponse to a "Step Function" Inductors and Capacitors react differently to a Voltage step Just after the step Capacitors act as a short if uncharged I C ( t ) C dv If charged

More information

Sirindhorn International Institute of Technology Thammasat University at Rangsit

Sirindhorn International Institute of Technology Thammasat University at Rangsit Sirindhorn International Institute of Technology Thammasat University at angsit School of Information, Computer and Communication Technology COUSE : ECS 204 Basic Electrical Engineering Lab INSTUCTO :

More information

Kirchhoff s Laws in Dynamic Circuits

Kirchhoff s Laws in Dynamic Circuits Kirchhoff s Laws in Dynamic Circuits Dynamic circuits are circuits that contain capacitors and inductors. Later we will learn to analyze some dynamic circuits by writing and soling differential equations.

More information

3: Nodal Analysis. E1.1 Analysis of Circuits (2015-7020) Nodal Analysis: 3 1 / 12. 3: Nodal Analysis

3: Nodal Analysis. E1.1 Analysis of Circuits (2015-7020) Nodal Analysis: 3 1 / 12. 3: Nodal Analysis Current Floating Voltage Dependent E1.1 Analysis of Circuits (2015-7020) Nodal Analysis: 3 1 / 12 Aim of Nodal Analysis Current Floating Voltage Dependent The aim of nodal analysis is to determine the

More information

3.1. Solving linear equations. Introduction. Prerequisites. Learning Outcomes. Learning Style

3.1. Solving linear equations. Introduction. Prerequisites. Learning Outcomes. Learning Style Solving linear equations 3.1 Introduction Many problems in engineering reduce to the solution of an equation or a set of equations. An equation is a type of mathematical expression which contains one or

More information

Supplement Reading on Diode Circuits. http://www.inst.eecs.berkeley.edu/ edu/~ee40/fa09/handouts/ee40_mos_circuit.pdf

Supplement Reading on Diode Circuits. http://www.inst.eecs.berkeley.edu/ edu/~ee40/fa09/handouts/ee40_mos_circuit.pdf EE40 Lec 18 Diode Circuits Reading: Chap. 10 of Hambley Supplement Reading on Diode Circuits http://www.inst.eecs.berkeley.edu/ edu/~ee40/fa09/handouts/ee40_mos_circuit.pdf Slide 1 Diodes Circuits Load

More information

5.2. Systems of linear equations and their solution sets

5.2. Systems of linear equations and their solution sets 5.2. Systems of linear equations and their solution sets Solution sets of systems of equations as intersections of sets Any collection of two or more equations is called a system of equations. The solution

More information

EE539: Analog Integrated Circuit Design

EE539: Analog Integrated Circuit Design Introduction Department of Electrical Engineering Indian Institute of Technology, Madras Chennai, 600036, India 1 Jan. 2008 Outline Sensor(s) Digital Processing Actuator(s) Continuous-time Continuous-amplitude...

More information

Exercise 3 (Resistive Network Analysis)

Exercise 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 information

A SYSTEMATIC METHOD FOR CALCULATING TRANSISTOR CIRCUIT

A SYSTEMATIC METHOD FOR CALCULATING TRANSISTOR CIRCUIT A SYSTEMATIC METHOD FOR CALCULATING TRANSISTOR CIRCUIT BIASING VOLTAGES December 22, 2012 J.L. 1 A BASIC COMMON-EMITTER BJT AMPLIFIER 1 In this context a few practical examples are given to demonstrate

More information

State-Variable Analysis

State-Variable Analysis C h a p t e r 19 State-Variable Analysis Specific goals and objectives of this chapter include: Introducing the concept of state variables and normal-form equations Learning how to write a complete set

More information

Module 2 Unit 2 TRANSISTOR (BJT)

Module 2 Unit 2 TRANSISTOR (BJT) Module 2 Unit 2 TRANSSTOR (JT) Review Questions 1 Define current gains α and β. How are they related? 2 n transistor design, the base has most critical features as compared to emitter and collector. Discuss.

More information

Department of Electrical Engineering and Computer Sciences University of California, Berkeley. First-Order RC and RL Transient Circuits

Department of Electrical Engineering and Computer Sciences University of California, Berkeley. First-Order RC and RL Transient Circuits Electrical Engineering 42/100 Summer 2012 Department of Electrical Engineering and Computer Sciences University of California, Berkeley First-Order RC and RL Transient Circuits When we studied resistive

More information

Physics Worksheet Electric Circuits Section: Name: Series Circuits

Physics 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 information

Experiment 8 Series-Parallel Circuits

Experiment 8 Series-Parallel Circuits Experiment 8 Series-Parallel 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 information

DC Circuits: Operational Amplifiers Hasan Demirel

DC Circuits: Operational Amplifiers Hasan Demirel DC Circuits: Operational Amplifiers Hasan Demirel Op Amps: Introduction Op Amp is short form of operational amplifier. An op amp is an electronic unit that behaves like a voltage controlled voltage source.

More information

13.10: How Series and Parallel Circuits Differ pg. 571

13.10: 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 information

PHYS 343 Homework Set #3 Solutions

PHYS 343 Homework Set #3 Solutions PHYS 343 Homework Set #3 Solutions 1. In the circuit shown, resistor C has a resistance R and the voltage across the battery is. The power delivered to resistor C is 3 times as great as the power delivered

More information