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Published in:
2019 | OriginalPaper | Chapter
7. Laplace Transform and Its Application in Circuits
Author : Afshin Izadian
Published in: Fundamentals of Modern Electric Circuit Analysis and Filter Synthesis
Publisher: Springer International Publishing
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Abstract
Most of the circuits introduced so far have been analyzed in time domain. This means that the input to the circuit, the circuit variables, and the responses have been presented as a function of time. All the input functions such as unit step, ramp, impulse, exponential, sinusoidal, etc. have been introduced as a time-dependent variable, and their effects on circuits have been identified directly as a function of time. This required utilization of differential equations and solutions in time domain. However, high-order circuits result in high-order differential equations, which, considering the initial conditions, sometimes are hard to solve. In addition, for circuits which are exposed to a spectrum of frequencies such as filters, the time domain analysis is a limiting factor.