Contents

ix 15.8 AC Steady State and Frequency Response 15.9 Mutual Inductance and Transformers 15.10 Modeling Devices with Varying Parameters 15.11 Time Response and Transient Analysis 15.12 Specifying Other Types of Sources 15.13 Summary

CHAPTER 16

The Laplace Transform Method 16.1 16.2 16.3 16.4 16.5 16.6 16.7 16.8

CHAPTER 17

Introduction The Laplace Transform Selected Laplace Transforms Convergence of the Integral Initial-Value and Final-Value Theorems Partial-Fractions Expansions Circuits in the s-Domain The Network Function and Laplace Transforms

Fourier Method of Waveform Analysis 17.1 Introduction 17.2 Trigonometric Fourier Series 17.3 Exponential Fourier Series 17.4 Waveform Symmetry 17.5 Line Spectrum 17.6 Waveform Synthesis 17.7 Effective Values and Power 17.8 Applications in Circuit Analysis 17.9 Fourier Transform of Nonperiodic Waveforms 17.10 Properties of the Fourier Transform 17.11 Continuous Spectrum

APPENDIX A

Complex Number System A1 A2 A3 A4 A5 A6 A7 A8

APPENDIX B

Matrices and Determinants B1 B2 B3 B4 B5

INDEX

Complex Numbers Complex Plane Vector Operator j Other Representations of Complex Numbers Sum and Difference of Complex Numbers Multiplication of Complex Numbers Division of Complex Numbers Conjugate of a Complex Number

Simultenaneous Equations and the Characteristic Matrix Type of Matrices Matrix Arithmetic Determinant of a Square Matrix Eigenvalues of a Square Matrix

373 375 375 378 379 382

398 398 398 399 401 401 402 404 405

420 420 421 422 423 425 426 427 428 430 432 432

451 451 451 452 452 452 452 453 453

455 455 455 456 458 460

461

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