## Description

This book has been written for the first year students of Electrical and Electronics, Electronics and Communication, and Electronics and Instrumentation Engineering. The authors derive on their teaching Experience to cover the analysis of simple electrical circuits consisting of a few essential components using fundamental and well-known methods and techniques. This book aims at teaching young engineers in a simplified and easier way. The authors provide numerous examples to enable learning of the fundamental concepts before moving on to more complicated components and circuits. The exercises and problems provide instructors with class-room activities and tutorials.

## Table of Content

**Chapter 1 Basic Circuit Analysis **

1.1 Introduction

1.1.1 Network Terminology

1.1.2 Classification of Network Elements

1.1.3 Energy Source

1.2 Ohm’s Law

1.2.1 Statement

1.2.2 Limitations

1.3 Kirchhoff’s Laws

1.3.1 Introduction

1.3.2 Kirchhoff’s Current Law (KCL)

1.3.3 Kirchhoff’s Voltage Law (KVL)

1.3.4 Branch Current Method (Kirchhoff’s Law) Procedure

1.4 Series and Parallel Circuits

1.4.1 Series Circuits

1.4.2 Parallel Circuit

1.4.3 Comparison of Series and Parallel Circuits

1.4.4 Equivalent of n Basic Elements in Series and Parallel Circuit

1.5 Mesh Current Method of Analysis [Mesh Analysis]

1.5.1 Introduction

1.5.2 Procedure to Obtain the Solution for Mesh Current

1.5.3 Supermesh Analysis

1.5.4 Mesh Analysis of Circuits Excited by Independent and

Dependent Sources

1.5.5 Inspection Method

1.6 Node Voltage Method of Analysis [Node Analysis]

1.6.1 Introduction

1.6.2 Procedure to Obtain the Solution for Node Voltage

1.6.3 Supernode Analysis

1.6.4 Node Analysis of circuits Excited by Independent and

Dependent Sources

1.6.5 Inspection Method

1.6.6 Node Analysis

1.6.7 Mesh Analysis (Type 3)

**Chapter 2 Network Reduction and Theorems for DC and AC Circuits**

2.1 Network Reduction Techniques

2.1.1 Introduction

2.2 Voltage Division Rule

2.2.1 Statement

2.2.2 Explanation

2.3 Current Division Rule

2.3.1 Statement

2.3.2 Explanation

2.4 Source Transformation

2.4.1 Introduction

2.4.2 Voltage Source to Current Source Transformation

2.4.3 Current Source to Voltage Source Transformation

2.4.4 Combination of Sources

2.5 Star- Delta Transformation

2.5.1 Introduction

2.5.2 Conversion Between Star and Delta Circuits

2.6 Thevenin’s Theorem

2.6.1 Statement

2.6.2 Procedure

2.7 Norton’s Theorem

2.7.1 Statement

2.7.2 Procedure

2.8 Superposition Theorem

2.8.1 Statement

2.8.2 Procedure

2.9 Maximum Power Transfer Theorem

2.9.1 Statement

2.9.2 Procedure

2.10 Reciprocity Theorem

2.10.1 Statement

2.10.2 Procedure

**Chapter 3 Transient Response Analysis**

3.1 L and C Elements

3.2 Transient Response of RL Series Circuit Excited by DC Source

3.3 Transient Response of RL Decay Circuit Excited by DC Source

3.4 Transient Response of RC Series Circuit Excited by DC Source

3.5 Transient Response of RC Decay Circuit Excited by DC Source

3.6 Transient Response of RLC Series Circuits Excited by DC Source

3.7 Transient Response of RL Series Circuit Excited by AC Source

3.8 Transient Response of RC Series Circuit Excited by AC Source

3.9 Transient Response of RLC Series Circuit Excited by AC Source

**Chapter 4 Three-Phase Circuits**

4.1 Introduction

4.1.1 Average Value

4.1.2 Phasor Diagram

4.1.3 Power

4.1.4 Power Factor

4.1.5 Energy

4.2 Simple AC Circuits

4.2.1 Pure Resistor Circuit

4.2.2 Pure Inductor Circuit

4.2.3 Pure Capacitor Circuit

4.2.4 RL Series Circuit

4.2.5 RC Series Circuit

4.2.6 RLC Series Circuit

4.2.7 Parallel RLC Circuit

4.3 Analysis of Three – Phase Circuits

4.3.1 Introduction

4.3.2 Generation of Three-Phase Voltages

4.3.3 Interconnection of Three-Phase Source and Loads

4.3.4 Voltage, Current and Power in a Star Connected System

4.3.5 Voltage Current and Power in Delta Connected System

4.3.6 Three-Phase Balanced Load

4.3.7 Three-Phase Unbalanced Load

4.4 Power Measurement in Three – Phase Circuits

4.4.1 Power Measurement in a Single-Phase Circuit by Wattmeter

4.4.2 Power Measurement in Three-Phase Circuits

**Chapter 5 Resonance and Coupled Circuits**

5.1 Resonance

5.1.1 Introduction

5.2 Series Resonance

5.2.1 Introduction

5.2.2 Impedance of Series RLC Circuit

5.2.3 Resonant Frequency of Series RLC Circuit

5.2.4 Phasor Diagram for Series RLC Circuit

5.2.5 Reactance Curve of Series RLC Circuit

5.2.6 Variation of Impedance, Current with Frequency for Series

RLC Circuit

5.2.7 Bandwidth of Series RLC Circuit

5.2.8 Half Power Frequencies [ω1, ω2; f1, f2]

5.2.9 Quality Factor and Selectivity of Series RLC Circuit

5.2.10 Variation of VR, VL, VC with Frequency

5.2.11 Frequency at with VL and VC is Maximum

5.2.12 Magnification Factor

5.2.13 Properties of Series Resonant Circuit

5.3 Parallel Resonance

5.3.1 Introduction

5.3.2 Admittance and Resonant Frequency of Parallel RLC Circuit

5.3.3 Susceptance Curve of Parallel RLC Circuit

5.3.4 Variation of Admittance, Current and Voltage with

Frequency

5.3.5 Bandwidth of Parallel RLC Circuit

5.3.6 Quality Factor of Parallel RLC Circuit

5.3.7 Magnification Factor

5.3.8 Properties of Parallel Resonant Circuit

5.4 Coupled Circuits

5.5 Self Inductance

5.5.1 Introduction

5.5.2 Magnitude of Self Inductance

5.6 Mutual Inductance

5.6.1 Introduction

5.6.2 Magnitude of Mutual Inductance

5.6.3 Magnitude of Total Induced EMF

5.7 Coefficient of Coupling [Magnetic Coupling Coefficient]

5.7.1 Definition

5.7.2 Derivation

5.7.3 Significance of Coefficient of Coupling

5.7.4 Dot Rule [Dot Convention] For Coupled Circuits

5.7.5 Series Connection of Coupled Coils

5.7.6 Parallel Connection of Coupled Coils

5.8 Analysis of Coupled Circuits

5.8.1 Conductively Coupled Equivalent Circuit

5.8.2 Conductively Coupled Equivalent Circuit

Of Magnetically Coupled Circuit

5.8.3 Conductively Coupled Equivalent Circuit of Magnetically

Coupled Circuit when Currents and Dot are Specified

5.9 Tuned Circuits

5.9.1 Introduction

5.9.2 Single Tuned Coupled Circuit

5.10 Double Tuned Coupled Circuits

**Chapter 6 Graph Theory**

6.1 Introduction

6.2 Terminologies used in Graph Theory

6.3 Cut Sets

6.4 Fundamental Cut Sets and f−Cut set Matrix

6.5 Incidence Matrix

6.6 Drawing a Graph from an Incidence Matrix

6.7 Tie Set and Tie Set Matrix

6.8 Fundamental Tie Sets/loops and f−Tie Set Matrix

6.9 Analysis of Network using Graph Theory

6.10 Duality

**Chapter 7 Two Port Networks **

7.1 Introduction

7.2 Parameters of Two Port Network

7.2.1 Impedance Parameter⇒ Z−Parameter⇒Open Circuit

Parameter

7.2.2 Admittance Parameter⇒ Y −Parameter⇒Short Circuit

Parameter

7.2.3 Hybrid Parameters⇒ h−Parameters

7.2.4 Transmission Parameter⇒ ABCD−Parameters

7.3 Relationship between Different Parameters

7.3.1 Z−Parameters in terms of Y −Parameters

7.3.2 Y −Parameters in terms of Z−Parameter

7.3.3 h−Parameters in terms of Y −Parameters

7.3.4 ABCD−Parameters in terms of Z−Parameters

7.4 Interconnection of Two Port Networks

Appendix – University Questions Paper

## About The Authors

**Dr. S. Vijayalakshmi** is Professor, Department of Electronics and Instrumentation Engineering, R.M.K. Engineering College, Chennai. She completed her Doctorate in Information and Communication from Madras Institute of Technology, Anna University, Chennai. She has been in the teaching profession for the past twenty years.

**Dr. P. Kavitha**, is Associate Professor, Department of Electronics and Instrumentation Engineering, R.M.K. Engineering College, Chennai. She completed her Doctorate in Electrical Engineering from College of Engineering, Anna University, Chennai. She has been in the teaching profession for the past twenty-one years.

**Ms. M. Kayalvizhi**, is Assistant Professor, Department of Electronics and Instrumentation Engineering, R.M.K. Engineering College, Chennai. She is pursuing her Doctorate in Industrial Automation from Anna University, Chennai. She has been in the teaching profession for the past seven years in addition to an industrial exposure of three years.

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