Preface | |

The Resistive Circuit | |

Units, Definitions, Experimental Laws, and Simple Circuits | |

Systems of Units | p. 6 |

Charge, Current, Voltage, and Power | p. 9 |

Types of Circuits and Circuit Elements | p. 17 |

Ohm's Law | p. 21 |

Kirchhoff's Laws | p. 24 |

Analysis of a Single-Loop Circuit | p. 28 |

The Single-Node-Pair Circuit | p. 32 |

Resistance and Source Combination | p. 35 |

Voltage and Current Division | p. 39 |

A Practical Example: The Operational Amplifier | p. 42 |

Some Useful Techniques of Circuit Analysis | |

Nodal Analysis | p. 55 |

Mesh Analysis | p. 64 |

Linearity and Superposition | p. 71 |

Source Transformations | p. 75 |

Thevenin's and Norton's Theorems | p. 80 |

Trees and General Nodal Analysis | p. 88 |

Links and Loop Analysis | p. 95 |

The Transient Circuit | |

Inductance and Capacitance | |

The Inductor | p. 115 |

Integral Relationships for the Inductor | p. 119 |

The Capacitor | p. 124 |

Inductance and Capacitance Combinations | p. 131 |

Duality | p. 135 |

Linearity and its Consequences Again | p. 139 |

Source-Free RL and RC Circuits | |

The Simple RL Circuit | p. 148 |

Properties of the Exponential Response | p. 151 |

A More General RL Circuit | p. 154 |

The Simple RC Circuit | p. 157 |

A More General RC Circuit | p. 160 |

The Application of the Unit-Step Forcing Function | |

The Unit-Step Forcing Function | p. 169 |

A First Look at the Driven RL Circuit | p. 173 |

The Natural and the Forced Response | p. 176 |

RL Circuits | p. 178 |

RC Circuits | p. 183 |

The RLC Circuit | |

The Source-Free Parallel Circuit | p. 196 |

The Overdamped Parallel RLC Circuit | p. 200 |

Critical Damping | p. 205 |

The Underdamped Parallel RLC Circuit | p. 208 |

The Source-Free Series RLC Circuit | p. 211 |

The Complete Response of the RLC Circuit | p. 215 |

The Lossless LC Circuit | p. 221 |

Sinusoidal Analysis | |

The Sinusoidal Forcing Function | |

Characteristics of Sinusoids | p. 235 |

Forced Response to Sinusoidal Forcing Functions | p. 237 |

The Phasor Concept | |

The Complex Forcing Function | p. 246 |

The Phasor | p. 250 |

Phasor Relationships for R, L, and C | p. 254 |

Impedance | p. 258 |

Admittance | p. 261 |

The Sinusoidal Steady-State Response | |

Nodal, Mesh, and Loop Analysis | p. 269 |

Superposition, Source Transformations, and Thevenin's Theorem | p. 272 |

Phasor Diagrams | p. 274 |

Response as a Function of [omega] | p. 278 |

Average Power and RMS Values | |

Instantaneous Power | p. 290 |

Average Power | p. 292 |

Effective Values of Current and Voltage | p. 300 |

Apparent Power and Power Factor | p. 303 |

Complex Power | p. 307 |

Polyphase Circuits | |

Single-Phase Three-Wire Systems | p. 320 |

Three-Phase Y-Y Connection | p. 324 |

The Delta Connection | p. 329 |

Complex Frequency | |

Complex Frequency | |

Complex Frequency | p. 340 |

The Damped Sinusoidal Forcing Function | p. 343 |

Z(s) and Y(s) | p. 346 |

Frequency Response as a Function of [sigma] | p. 349 |

The Complex-Frequency Plane | p. 354 |

Natural Response and the s Plane | p. 363 |

A Technique for Synthesizing the Voltage Ratio H(s) = V[subscript out]/V[subscript in] | p. 369 |

Frequency Response | |

Parallel Resonance | p. 380 |

More about Parallel Resonance | p. 387 |

Series Resonance | p. 393 |

Other Resonant Forms | p. 395 |

Scaling | p. 402 |

Bode Diagrams | p. 406 |

Two-Port Networks | |

Magnetically Coupled Circuits | |

Mutual Inductance | p. 428 |

Energy Considerations | p. 435 |

The Linear Transformer | p. 437 |

The Ideal Transformer | p. 443 |

General Two-Port Networks | |

One-Port Networks | p. 460 |

Admittance Parameters | p. 463 |

Some Equivalent Networks | p. 470 |

Impedance Parameters | p. 478 |

Hybrid Parameters | p. 483 |

Transmission Parameters | p. 486 |

Signal Analysis | |

State-Variable Analysis | |

State Variables and Normal-Form Equations | p. 504 |

Writing a Set of Normal-Form Equations | p. 507 |

The Use of Matrix Notation | p. 514 |

Solution of the First-Order Equation | p. 516 |

The Solution of the Matrix Equation | p. 520 |

A Further Look at the State-Transition Matrix | p. 522 |

Fourier Analysis | |

Trigonometric Form of the Fourier Series | p. 535 |

The Use of Symmetry | p. 541 |

Complete Response to Periodic Forcing Functions | p. 546 |

Complex Form of the Fourier Series | p. 549 |

Fourier Transforms | |

Definition of the Fourier Transform | p. 561 |

Some Properties of the Fourier Transform | p. 565 |

The Unit-Impulse Function | p. 568 |

Fourier Transform Pairs for Some Simple Time Functions | p. 572 |

The Fourier Transform of a General Periodic Time Function | p. 577 |

Convolution and Circuit Response in the Time Domain | p. 578 |

The System Function and Response in the Frequency Domain | p. 584 |

The Physical Significance of the System Function | p. 588 |

Laplace Transform Techniques | |

Definition of the Laplace Transform | p. 600 |

Laplace Transforms of Some Simple Time Functions | p. 603 |

Several Basic Theorems for the Laplace Transform | p. 605 |

Convolution Again | p. 611 |

Time-Shift and Periodic Functions | p. 614 |

Shifting, Differentiation, Integration, and Scaling in the Frequency Domain | p. 619 |

The Initial-Value and Final-Value Theorems | p. 622 |

The Transfer Function H(s) | p. 623 |

The Complete Response | p. 626 |

Appendixes | |

Appendix 1 Determinants | |

Appendix 2 Matrices | |

Appendix 3 A Proof of Thevenin's Theorem | |

Appendix 4 Complex Numbers | |

A4-1 The Complex Form | p. 653 |

A4-2 Euler's Identity | p. 656 |

A4-3 The Exponential Form | p. 658 |

A4-4 The Polar Form | p. 661 |

Appendix 5 A SPICE Tutorial | |

A5-2 The dc Analysis: Circuit Elements | p. 665 |

A5-3 The dc Analysis: Control and Operating Statements | p. 670 |

A5-4 The Transient Analysis: Two More Circuit Elements | p. 672 |

A5-5 The Transient Analysis: Time-Varying Sources | p. 672 |

A5-6 The Transient Analysis: Operation and Command Statements | p. 673 |

A5-7 The ac Analysis: Circuit Elements | p. 676 |

A5-8 The ac Analysis: Operation and Command Statements, Single-Frequency Operation | p. 676 |

A5-9 The ac Analysis: Analysis Over a Frequency Range | p. 677 |

Appendix 6 Answers to Odd-Numbered Problems | |

Index | p. 699 |

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