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obtain S-domain (Laplace Transform) equivalent ckt-diagram of an Inductor 8 capacitor with Initial conditions.
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Solution:

i) Inductor:- consider inductor of L Henry with Initial current Io. The voltage across the inductor is given by

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$ V_L(t)=L \cdot \frac{d i(t)}{d t} \\ $

Taking L.T. on both sides

$ \begin{aligned} V_L(S) &=L[S I(S)-I(0)] \\ &=L S \cdot I(S)-L I(0) \\ \therefore V_L(S) &=L S \cdot …

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