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Circuits (Cont.): diagrams of, 12 13 di erentiator, 79 elements in parallel, 26 27 elements in series, 25 26 rst-order, 127 160 active, 143 145 higher-order, 161 190 active, 175 integrator, 77 78 inverting, 71 laws regarding, 24 36 locus diagram, 290 292 noninverting, 72 73 noninverting integrators, 188 polyphase, 248 272 RC (see RC circuits) RL (see RL circuits) RLC (see RLC circuits) series-parallel conversions, 289 sign convention, 8 sinusoidal (see Sinusoidal circuits; Sinusoidal steady-state circuits) summing, 71 72 tank, 291 two-mesh, 167 168, 185 voltage-current relations, 9 Close coupling, 336 Coils, 250, 259, 298, 345 coupled, 336 338, 345 346 energy in a pair of, 338 340 in series, 206 Column matrix, 455 Comparators, 82 83 Complex frequency, 168 169, 178 179, 185 forced response and, 172 173 frequency scaling, 174 impedance of s-domain circuits, 169 170 magnitude scaling, 174 natural response and, 173 174 network function and, 170 172 pole zero plots, 169 172 Complex frequency domain, 398 Complex inversion integral, 398 Complex number system, 451 454 complex plane, 451 conjugate of, 453 454 di erence of, 452 division of, 452 453 modulus or absolute value, 451 multiplication of, 452 453 rectangular form, 451 representatives of, 451 452 sum of, 452 trigonometric form, 451 vector operator, 451 Complex plane, 451
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Complex power, 226 230, 245 247 Computers: analog, 80 81 circuit analysis using, 362 397 PSpice program (see Spice and PSpice) Schematic Capture program, 362 Spice program (see Spice and PSpice) Conductance, 1, 215 Conduction, 2 Constant quantities, 4 6 Convergence region, 401 Cosine wave, 119, 421 Coulomb, 1, 2, 3 Coupled coils, 336 338 energy in a pair of, 338 340 Coupling admittance, 201 Coupling coe cient, 335 336 Coupling ux, 335 Cramer s rule, 39, 459 460 Critically damped, 161, 163, 167, 284 Current, 1, 19, 20, 29 branch, 37, 47, 56, 205, 303 constant, 4 DC, 132 Kirchho s law, 24, 25, 37, 40 load, 252 loop, 37, 49, 57 magnetizing, 340 342 mesh, 37, 48, 56, 208, 216 natural, 336 338 Norton equivalent, 45 47 phase, 251 253 phasor, 429 relation to voltage, 9 variable, 4 Current dividers, 28 29, 198, 213 Damped sinusoids, 114 Damping, 161 163 critically damped, 161, 284 circuits in parallel, 167 RLC circuits in series, 162 overdamped, 161, 284 RLC circuits: in parallel, 165 in series, 162 underdamped, 161, 284 RLC circuits: in parallel, 166 in series, 162 163 Damping ratio, 284 DC analysis, 364 367 output statements, 367 370 DC current, establishing in an inductor, 132 DC steady state in inductors/capacitors, 136 Delta system, 251 balanced loads, 252 253
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Delta system (Cont.): equivalent wye connections and, 254 255 unbalanced loads, 255 Determinant method, 38 40 Diagonal matrix, 455 Di erentiator circuit, 79 Diode, 13, 22, 23 forward-biased, 13 reverse-biased, 13 ideal, 22, 23 operating point, 23 terminal characteristic, 23 Direct Laplace transform, 398 Dirichlet condition, 420, 422, 430 Displacement neutral voltage, 257 Dissipation factor, 301 Dot rule, 338, 347 348, 375 ampere-turn, 343 Dynamic resistance, 13 Eigenvalues, 460 Electric charge, 1 3 Electric current, 2 3 Electric potential, 1, 3 4 Electric power, 4 Electrical units, 1 2, 223 Electrons, 2 3, 5 Elements: active, 7 8 nonlinear, 36 passive, 7 8 Energy (See also Power) exchange between inductors and capacitors, 224 226 kinetic, 3 potential, 3 work, 1, 3 Energy density, 432 Euler s formula, 452 Euler s identity, 196 Exponential function, 112 114, 132 134 Farad, 1 Faraday s law, 335, 340 Farads, 9, 364 Feedback in ampli er circuits, 65 66 Femto, 364 Filters, 280 282 active, 282 283 bandpass, 283 284 highpass, 144 low-pass, 81, 280 passive, 282 283 scaling frequency response of, 292 First-order circuits, 127 160 active, 143 145 Floating source, 75
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Flux: coupling, 335 leakage, 336 linkage, 336 mutual, 340 Force, 1, 2 Forced response, 129 network function and, 172 173 Fourier integral, 430 Fourier method, 420 450 analysis using computers, 382 circuit analysis and, 428 430 e ective values and power, 427 428 exponential series, 422 423, 439 441, 447 448 trigonometric series, 422 423, 434 439, 444 445 waveform symmetry, 423 425 Fourier transform: inverse, 430, 432 properties of, 432 433 Frequency, 1, 103 center, 283 complex, 168 169 half-power, 278 natural, 187, 284 operating, 289 scaling, 292 Frequency domain, 196, 198 Frequency response, 81, 273 274 computer circuit analysis of, 373 374 half-power, 278 high-pass networks, 274 278 low-pass networks, 274 278 network functions and, 279 280 parallel LC circuits, 287 288 from pole-zero location, 280 281 scaling of, 292 series resonance and, 284 286 two-port/two-element networks, 278 279 Frequency scaling, 174 Gain, open loop, 65 Generators: Ac, 248, 260 three-phase, 249, 250 two-phase, 248 Giga, 2, 364 g-parameters, 317, 320 Half-power frequency, 278 Half-wave symmetry, 425, 435 Harmonics, 117, 425 426, 428 430, 441 Heaviside expansion formula, 403, 409 Henry, 1, 9, 364 Hermitian matrix, 456 Hertz, 1 Higher-order circuits, 161 190 active, 175
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