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 |
Table of Contents provided by Blackwell. All Rights Reserved. |