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Introduction to Electrical Circuit Analysis
Introduction
This book has been written for students on electrical engineering courses who don’t necessarily possess prior knowledge of electrical circuits. Based on the author’s own teaching experience, it covers the analysis of simple electrical circuits consisting of a few essential components using fundamental and well-known methods and techniques. Although the above content has been included in other circuit analysis books, this one aims at teaching young engineers not only from electrical and electronics engineering, but also from other areas, such as mechanical engineering, aerospace engineering, mining engineering, and chemical engineering, with unique pedagogical features such as a puzzle-like approach and negative-case examples (such as the unique “When Things Go Wrong…” section at the end of each chapter). Believing that the traditional texts in this area can be overwhelming for beginners, the author approaches his subject by providing numerous examples for the student to solve and practice before learning more complicated components and circuits. These exercises and problems will provide instructors with in-class activities and tutorials, thus establishing this book as the perfect complement to the more traditional texts.
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- All examples and problems contain detailed analysis of various circuits, and are solved using a ‘recipe’ approach, providing a code that motivates students to decode and apply to real-life engineering scenarios
- Covers the basic topics of resistors, voltage and current sources, capacitors and inductors, Ohm’s and Kirchhoff’s Laws, nodal and mesh analysis, black-box approach, and Thevenin/Norton equivalent circuits for both DC and AC cases in transient and steady states
- Aims to stimulate interest and discussion in the basics, before moving on to more modern circuits with higher-level components
- Includes more than 130 solved examples and 120 detailed exercises with supplementary solutions
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TABLE OF CONTENTS
1 Introduction 1
1.1 Circuits and Important Quantities 1
1.2 Resistance and Resistors 9
1.3 Independent Sources 13
1.4 Dependent Sources 14
1.5 Basic Connections of Components 15
1.6 Limitations in Circuit Analysis 19
1.7 What You Need to Know before You Continue 20
2 Basic Tools: Kirchhoff’s Laws 23
2.1 Kirchhoff’s Current Law 23
2.2 Kirchhoff’s Voltage Law 24
2.3 When Things Go Wrong with KCL and KVL 36
2.4 Series and Parallel Connections of Resistors 40
2.5 When Things Go Wrong with Series/Parallel Resistors 45
2.6 What You Need to Know before You Continue 46
3 Analysis of Resistive Networks: Nodal Analysis 47
3.1 Application of Nodal Analysis 47
3.2 Concept of Super node 59
3.3 Circuits with Multiple Independent Voltage Sources 72
3.4 Solving Challenging Problems Using Nodal Analysis 74
3.5 When Things Go Wrong with Nodal Analysis 86
3.6 What You Need to Know before You Continue 90
4 Analysis of Resistive Networks: Mesh Analysis 93
4.1 Application of Mesh Analysis 93
4.2 Concept of Super mesh 107
4.3 Circuits with Multiple Independent Current Sources 121
4.4 Solving Challenging Problems Using the Mesh Analysis 122
4.5 When Things Go Wrong with Mesh Analysis 135
4.6 What You Need to Know before You Continue 137
5 Black-Box Concept 139
5.1 Thévenin and Norton Equivalent Circuits 139
5.2 Maximum Power Transfer 158
5.3 Shortcuts in Equivalent Circuits 173
5.4 When Things Go Wrong with Equivalent Circuits 176
5.5 What You Need to Know before You Continue 178
6 Transient Analysis 181
6.1 Capacitance and Capacitors 181
6.2 Inductance and Inductors 191
6.3 Time-Dependent Analysis of Circuits in Transient State 195
6.4 Switching and Fixed-Time Analysis 208
6.5 Parallel and Series Connections of Capacitors and Inductors 218
6.6 When Things Go Wrong in Transient Analysis 222
6.7 What You Need to Know before You Continue 224
7 Steady-State Analysis of Time-Harmonic Circuits 227
7.1 Steady-State Concept 227
7.2 Time-Harmonic Circuits with Sinusoidal Sources 228
7.3 Concept of Phasor Domain and Component Transformation 234
7.4 Special Circuits in Phasor Domain 243
7.5 Analysis of Complex Circuits at Fixed Frequencies 248
7.6 Power in Steady State 259
7.7 When Things Go Wrong in Steady-State Analysis 271
7.8 What You Need to Know before You Continue 274
8 Selected Components of Modern Circuits 275
8.1 When Connections Are via Magnetic Fields: Transformers 275
8.2 When Components Behave Differently from Two Sides: Diodes 278
8.3 When Components Involve Many Connections: OP-AMPs 284
8.4 When Circuits Become Modern: Transistors 288
8.5 When Components Generate Light: LEDs 293
8.6 Conclusion 294
9 Practical Technologies in Modern Circuits 295
9.1 Measurement Instruments 295
9.2 Three-Phase Power Delivery 297
9.3 AD and DA Converters 300
9.4 Logic Gates 303
9.5 Memory Units 307
9.6 Conclusion 309
10 Next Steps 311
10.1 Energy Is Conserved, Always! 311
10.2 Divide and Conquer Complex Circuits 313
10.3 Appreciate the Package 314
10.4 Consider Yourself as a Circuit Element 316
10.5 Safety First 317
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Introduction to Electrical Circuit Analysis
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