Transient and Steady-state Analysis of Electric Networks

admittance band-pass filter branch C₁ capacitance cascade Chapter characteristic impedance circuit elements circuit of Fig coefficients complex variable connection constant current source current transforms defined derivative determinant differential equations discontinuity e-st E₁ electric network equal equivalent circuit evaluated expression factor filter finite Fourier integral Fourier series frequency Hence I₁ ideal illustrated impulse function inductance initial conditions initial value initially at rest input terminals instant instantaneous integral theorem inverse jw-axis Kirchhoff's Kirchhoff's current law Kirchhoff's voltage law Laplace transform linear load loop current loop equations matrix node analysis Norton's theorem obtained output terminals output voltage parameters R₁ ratio reciprocal replaced represent residue method response result right-hand side RLC circuit Section signal flow graph simple pole sinusoidal steady solution superposition switching Thévenin's theorem time-function transient two-port network twoport V₁ vacuum-tube voltage and current voltage or current yields zero