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The Complex Frequency Variable
A Consideration of Energy with Some Remarkable
13 other sections not shown
admittance angle approximation band arbitrary behavior Brune process calculation capacitor Chebyshev Chebyshev approximation coefficients complex complex potential conductor consider constant corresponding cosh curve determine discussion dissipation driving-point immittance functions driving-point impedance function dual element values equations example finite function Z(p given Hence Hurwitz polynomial Illustrate imaginary axis imaginary zeros imation inductors integral L-C network Laurent series left half plane loop currents magnitude mapping method minimum-reactance multiplier mutual inductance number of elements numerator and denominator obtain odd function one-terminal pair origin p-r function partial-fraction expansion plot pole at infinity polynomial positive reality possible potential Prob problem properties quantization rational function reactance function real and positive real frequencies reduced removed residues resistance function resistor right half plane right-half-plane zeros Show shown in Fig simple Sturm functions Sturm's theorem surplus factor susceptance symmetry synthesis Taylor series voltage zeros and poles zeros or poles