Contents
Preface iv
About the Authors x
PART 1 DC Circuits 1
Chapter 1 Basic Concepts 3
1.1 Introduction 4
1.2 Systems of Units 5
1.3 Charge and Current 6
1.4 Voltage 9
1.5 Power and Energy 10
1.6 Circuit Elements 14
1.7 Problem Solving 16
Problems 20
Chapter 2 Basic Laws 23
2.1 Introduction 24
2.2 Ohm’s Law 24
2.3 Nodes, Branches, and Loops 29
2.4 Kirchhoff’s Laws 31
2.5 Series Resistors and Voltage Division 37
2.6 Parallel Resistors and Current Division 38
2.7 Wye-Delta Transformations 45
2.7.1 Delta to Wye Conversion
2.7.2 Wye to Delta ConversionProblems 51
Chapter 3 Methods of Analysis 59
3.1 Introduction 60
3.2 Nodal Analysis 60
3.3 Nodal Analysis with Voltage Sources 66
3.4 Mesh Analysis 71
3.5 Mesh Analysis with Current Sources 76
Problems 78
Chapter 4 Circuit Theorems 89
4.1 Introduction 90
4.2 Linearity Property 90
4.3 Superposition 93
4.4 Source Transformation 97
4.5 Thevenin’s Theorem 101
4.6 Norton’s Theorem 107
4.7 Maximum Power Transfer 111
Problems 113
Chapter 5 Operational Amplifiers 121
5.1 Introduction 122
5.2 Operational Amplifiers 122
5.3 Ideal Op Amp 126
5.4 Inverting Amplifier 127
5.5 Noninverting Amplifier 129
5.6 Summing Amplifier 131
5.7 Difference Amplifier 133
5.8 Cascaded Op Amp Circuits 137
Problems 140
Chapter 6 Capacitors and Inductors 151
6.1 Introduction 152
6.2 Capacitors 152
6.3 Series and Parallel Capacitors 158
6.4 Inductors 162
6.5 Series and Parallel Inductors 166
Problems 170
Chapter 7 First-Order Circuits179
7.1 Introduction 180
7.2 The Source-Free RC Circuit 181
7.3 The Source-Free RL Circuit 185
7.4 Singularity Functions 191
7.5 Step Response of an RC Circuit 199
7.6 Step Response of an RL Circuit 206
Problems 210
Chapter 8 Second-Order Circuits219
8.1 Introduction 220
8.2 Finding Initial and Final Values 221
8.3 The Source-Free Series RLC Circuit 225
8.4 The Source-Free Parallel RLC Circuit 232
8.5 Step Response of a Series RLC Circuit 237
8.6 Step Response of a Parallel RLC Circuit 242
Problems 245
PART 2 AC Circuits253
Chapter 9 Sinusoids and Phasors 255
9.1 Introduction 256
9.2 Sinusoids 257
9.3 Phasors 262
9.4 Phasor Relationships for Circuit Elements 271
9.5 Impedance and Admittance 273
9.6 Kirchhoff’s Laws in the Frequency Domain 275
9.7 Impedance Combinations 276
Problems 282
Chapter 10 Sinusoidal Steady-State Analysis 289
10.1 Introduction 290
10.2 Nodal Analysis 290
10.3 Mesh Analysis 293
10.4 Superposition Theorem 297
10.5 Source Transformation 300
10.6 Thevenin and Norton Equivalent Circuits 302
Chapter 11 AC Power Analysis 317
11.1 Introduction 318
11.2 Instantaneous and Average Power 318
11.3 Maximum Average Power Transfer 324
11.4 Effective or RMS Value 327
11.5 Apparent Power and Power Factor 330
11.6 Complex Power 333
Problems 337
Chapter 12 Three-Phase Circuits 345
12.1 Introduction 346
12.2 Balanced Three-Phase Voltages 347
12.3 Balanced Wye-Wye Connection 351
12.4 Balanced Wye-Delta Connection 354
12.5 Balanced Delta-Delta Connection 356
12.6 Balanced Delta-Wye Connection 358
12.7 Power in a Balanced System 361
Problems 367
Chapter 13 Magnetically Coupled Circuits 373
13.1 Introduction 374
13.2 Mutual Inductance 375
13.3 Energy in a Coupled Circuit 382
13.4 Linear Transformers 385
13.5 Ideal Transformers 391
13.6 Ideal Autotransformers 399
Problems 402
Chapter 14 Frequency Response 413
14.1 Introduction 414
14.2 Transfer Function 414
14.3 The Decibel Scale 417
14.4 Bode Plots 419
14.5 Series Resonance 429
14.6 Parallel Resonance 434
14.7 Passive Filters 437
14.7.1 Low-Pass Filter
14.7.2 High-Pass Filter
14.7.3 Band-Pass Filter
14.7.4 Band-Stop Filter
14.8 Active Filters 442
14.8.1 First-Order Low-Pass Filter
14.8.2 First-Order High-Pass Filter
14.8.3 Band-Pass Filter
14.8.4 Band-Reject (or Notch) Filter
Problems 449
Appendix A Answers to Odd-Numbered Problems A-1