# Mesh-Current Method (Loop Analysis)

Save this PDF as:

Size: px
Start display at page:

## 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

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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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 //

### 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

### 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

### 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

### 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

### (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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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,

### 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

### 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,

### 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

### 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:

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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,

### 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;

### 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

### 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

### 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

### 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

### 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

### 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/,

### 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

### 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

### 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

### 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

### 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

### 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

### 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..

### 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

### 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,

### 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

### 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

### 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

### 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

### 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

### 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

### 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

### 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 :

### 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.

### 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

### 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

### 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

### 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

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...

### 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

### 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

### 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

### 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.

### 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

### 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

### 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

### 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.