Electric Circuit Theory

Symbols, Units and Abbreviations

Chapter 1 Fields, Circuits and Circuit Parameters

1.1 Fundamental Concepts

1.1.1 Potential and Potential Difference

1.1.2 Electric Current

1.2 The Electric Circuit

1.2.1 Energy Sources

1.2.2 Power and Energy

1.2.3 The Load

1.2.4 Summary

1.3 Kirchhoff's Laws

1.3.1 The first, or Current, Law

1.3.2 The Second, or Voltage, Law

Problems with Solutions

Chapter 2 The Natural and Forced Responses of Simple Circuits

2.1 First-Order Systems

2.1.1 Circuits Containing Inductance and Resistance

2.1.2 Circuits Containing Capacitance and Resistance

2.2 Second-Order Systems

2.2.1 A Circuit Containing L, C and R

2.3 The Sinusoidal Forcing Function

2.3.1 The Phasor Method

2.4 The Laplace Transformation

2.4.1 Summary of the Foregoing

2.4.2 Using the Laplace Transformation

2.4.3 Some Laplace Transforms Evaluated

2.4.4 Solution of Problem 2.16

2.4.5 Three More Theorems

2.4.6 Expansion by Partial Fractions

2.4.7 Complete Solutions

2.4.8 Other Functions

2.5 Summary

Problems with Solutions

Chapter 3 The Sinusoidal Steady State

3.0 Introduction

3.1 Power Due to a Sinusoidally Varying Current: r.m.s. Value

3.2 Phasor Diagrams

3.2.1 Addition and Subtraction of Phasors

3.2.2 Phase Relationships between Voltage and Current in the Three Circuit Elements

3.3 Power as a Function of Voltage and Current

3.3.1 Power Factor

3.3.2 Complex Power

3.4 Series Circuits

3.4.1 Series Resonance

3.4.2 The Q-Factor

3.4.3 Tuning

3.4.4 Bandwidth

3.4.5 Solutions Using Complex Algebra

3.5 Parallel Circuits

3.5.1 The Admittance Concept

3.5.2 Parallel Resonance; Half-Power Points; Bandwidth

3.5.3 Power-Factor Improvement

3.6 Z- and Y-Loci

3.7 Other Circuits

Problems with Solutions

Chapter 4 Circuit Analysis

4.0 Introduction

4.1 Network Terminology

4.2 Kirchhoff's Laws

4.2.1 Reducing the Number of Unknowns

4.3 The Loop- and Mesh-Current Methods

4.4 The Node-Voltage Method

4.5 Network Topology

4.6 Steady-State Sinusoidal Conditions

4.7 Mutual Inductance

4.7.1 The Dot Notation

4.8 Circuit Theorems

4.8.1 The Superposition Theorem

4.8.2 Thevenin's and Norton's Theorems

Problems with Solutions

Chapter 5 Frequency Response of Networks

5.0 Introduction

5.1 Immittance Function Mapping

5.1.1 Inversion of Any Circular Locus

5.1.2 More Complicated Circuits

5.2 The 5-Plane

5.2.1 Poles and Zeros

5.2.2 Frequency Response from the P-Z Constellation

5.2.3 Manipulation of Poles and Zeros

5.3 Logarithmic Plotting: Bode Plots

5.3.1 The Scales

5.3.2 Logarithm of a Complex Function

5.3.3 The Plots

5.3.4 More Complicated Response Functions

5.3.5 Response Functions Containing other Factors

Problems with Solutions

Chapter 6 Polyphase Systems

6.1 Principles: Star and Mesh Connections

6.2 Line and Phase Quantities

6.3 Advantages of Polyphase Systems

6.4 Two- and Three-Phase Systems

6.4.1 Relationships between Line and Phase Values of Voltage and Current

6.5 Balanced-Load Calculations: The Use of Symmetry

6.6 Unbalance

6.7 The Measurement of Power and Power Factor in Three-Phase Circuits

6.7.1 The Wattmeter

6.7.2 Connection of the Wattmeter in Three-Phase Systems

6.7.3 Power-Factor Measurement for Balanced Loads

Problems with Solutions

Bibliography

Answers to Problems

Index