September 2008
Beginner
834 pages
37h 13m
English
Content preview from Electric Circuits and Networks
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10.9 SERIES RL CIRCUIT WITH EXPONENTIAL INPUTS
We take up the study of a zero-state response of series RL circuit for exponential inputs and sinusoidal inputs in this section. We do not worry about the zero-input response anymore since we know that it is I0e–t/τ, where I0 is the initial current specified at t = 0–. The total response is found by adding zero-input response and zero-state response together.
We permit exponential inputs of the form estu(t) in this section, where s can be a complex number s = –σ + jω, where σ and ω are two real numbers. The reason for generalising the exponential input in this manner will be clear soon. We put a negative sign behind σ since we want the real part of s to be negative when σ is positive. This signal ...
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