Electric Circuits and Networks

15

Analysis of Dynamic Circuits by Laplace Transforms

CHAPTER OBJECTIVES

• Expansion of right-sided time-domain waveforms in terms of e^σt cos(ωt + ϕ)

• Definition of Laplace transform and inverse integral

• Laplace transform as a generalisation of Fourier transform

• Various properties of Laplace transform of a real function of time

• Convergence of inverse integral and region of convergence in s-plane

• Basic Laplace transform pairs

• Solution of differential equations using Laplace transforms

• Method of partial fractions for inversion of Laplace transforms

• s-domain equivalent circuits and applying them for circuit analysis

• System function H(s) and Laplace transform of impulse response

• Network functions and pole-zero plots

• Graphical interpretation ...