NETWORK ANALYSIS WITH APPLICATIONS

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1 NETWORK ANALYSIS WITH APPLICATIONS Third Edition William D. Stanley Old Dominion University Prentice Hall Upper Saddle River, New Jersey I Columbus, Ohio

2 CONTENTS 1 BASIC CIRCUIT LAWS General Plan of the Book Basic Electrical Quantities Circuit Models Power Conventions Ohm's Law and Resistive Power Kirchhoff's Laws Equivalent Resistance Voltage and Current Dividers Simplified Circuit Analysis Dependent Sources Electronics Workbench Examples 34 Drill Problems 39 Derivation Problems 46 Application Problems 46 2 CIRCUIT ANALYSIS METHODS Single-Loop Circuit Single Node-Pair Circuit Source Transformations Realistic Source Approximations Mesh Current Analysis Node Voltage Analysis 77 vii

3 viii I CONTENTS 2-7 Thevenin's and Norton's Theorems Circuit Analysis with Dependent Sources Thevenin's and Norton's Theorems with Dependent Sources Superposition Electronics Workbench Examples MATLAB Example 110 Drill Problems 112 Derivation Problems 121 Application Problems CAPACITIVE AND INDUCTIVE TRANSIENTS AND EQUIVALENT CIRCUITS Graphical Significance of Differentiation Graphical Significance of Integration Capacitive Transients Inductive Transients Combinations of Capacitance and Inductance Mutual Inductance Ideal Transformer Electronics Workbench Examples 176 Drill Problems 188 Derivation Problems 196 Application Problems INITIAL, FINAL, AND FIRST-ORDER CIRCUITS Initial Conditions Final Conditions Exponential Function 214 4_4 First-Order Circuits Timing Intervals with First-Order Circuits Electronics Workbench Examples MATLAB Example 252 Drill Problems 256 Derivation Problems 263 Application Problems 264

4 CONTENTS I ix b LAPLACE TRANSFORMS General Approach Laplace Transforms Laplace Transform Operations Preparation for Inverse Transformation Inverse Transforms of First-Order Poles Inverse Transforms of Multiple-Order Poles MATLAB Examples 292 Drill Problems 295 Derivation Problems 297 Application Problems CIRCUIT ANALYSIS WITH LAPLACE TRANSFORMS Transform Impedances Initial Condition Models Complete Circuit Models General Forms for Solutions First-Order Circuits Revisited Second-Order Circuits Electronics Workbench Examples MATLAB Example 335 Drill Problems 336 Derivation Problems 344 Application Problems TRANSFER FUNCTIONS Linear Systems Transfer Function Natural and Forced Responses Poles and Zeros of Transfer Functions Stability Transfer Function "Algebra" Second-Order Step Response Forms Electronics Workbench Examples MATLAB Examples 388

5 x I CONTENTS Drill Problems 395 Derivation Problems 402 Application Problems SINUSOIDAL STEADY-STATE ANALYSIS General Discussion Phasor Representation ofvoltages and Currents Phasor Combinations of Sinusoids Steady-State Impedance Derivation of Phasor Voltage-Current Relationships Complete Sinusoidal Steady-State Circuit Solutions Power in AC Circuits Electronics Workbench Example 437 Drill Problems 438 Derivation Problems 442 Application Problems 445 FREQUENCY RESPONSE ANALYSIS AND BODE PLOTS Relationship Between Laplace Domain and Phasor Domain Steady-State Transfer Function Bode Plot Concepts Bode Plot Forms Second-Order Low-Pass Function Electronics Workbench Examples MATLAB Examples 500 Drill Problems 510 Derivation Problems 513 Application Problems WAVEFORM ANALYSIS DC and RMS Values of Periodic Signals Step and Ramp Functions 525

6 CONTENTS I xi 10-3 Shifted Functions Synthesis of Complex Waveforms Superposition Revisited Impulse Function Electronics Workbench Examples 550 Drill Problems 556 Derivation Problems 559 Application Problems 562 FOURIER ANALYSIS Fourier Series Frequency Spectrum Plots Fourier Series Symmetry Conditions Common Periodic Waveforms and Their Fourier Series Fourier Transform Common Nonperiodic Waveforms and Their Fourier Transforms Fourier Transform Operations and Spectral Roll-Off Electronics Workbench Example 604 General Problems 606 Derivation Problems 607 APPENDIXES A Determinants 609 B Complex Algebra 613 C Laplace Transforms 621 D Introduction to Electronics Workbench 623 E Electronics Workbench EDA Analyses Discussion 631 Answers to Selected Odd-Numbered Problems 659 Index 671

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