Page 10 - Schaum's Outline of Theory and Problems of Electric Circuits

Contents ix
15.8 AC Steady State and Frequency Response 373
15.9 Mutual Inductance and Transformers 375
15.10 Modeling Devices with Varying Parameters 375
15.11 Time Response and Transient Analysis 378
15.12 Specifying Other Types of Sources 379
15.13 Summary 382

CHAPTER 16 The Laplace Transform Method 398
16.1 Introduction 398
16.2 The Laplace Transform 398
16.3 Selected Laplace Transforms 399
16.4 Convergence of the Integral 401
16.5 Initial-Value and Final-Value Theorems 401
16.6 Partial-Fractions Expansions 402
16.7 Circuits in the s-Domain 404
16.8 The Network Function and Laplace Transforms 405

CHAPTER 17 Fourier Method of Waveform Analysis 420
17.1 Introduction 420
17.2 Trigonometric Fourier Series 421
17.3 Exponential Fourier Series 422
17.4 Waveform Symmetry 423
17.5 Line Spectrum 425
17.6 Waveform Synthesis 426
17.7 Effective Values and Power 427
17.8 Applications in Circuit Analysis 428
17.9 Fourier Transform of Nonperiodic Waveforms 430
17.10 Properties of the Fourier Transform 432
17.11 Continuous Spectrum 432
APPENDIX A Complex Number System 451
A1 Complex Numbers 451
A2 Complex Plane 451
A3 Vector Operator j 452
A4 Other Representations of Complex Numbers 452
A5 Sum and Difference of Complex Numbers 452
A6 Multiplication of Complex Numbers 452
A7 Division of Complex Numbers 453
A8 Conjugate of a Complex Number 453

APPENDIX B Matrices and Determinants 455
B1 Simultenaneous Equations and the Characteristic Matrix 455
B2 Type of Matrices 455
B3 Matrix Arithmetic 456
B4 Determinant of a Square Matrix 458
B5 Eigenvalues of a Square Matrix 460
INDEX 461