Consider the first-order RL circuit shown in Figure 6.25. a. Derive the input-output differential equation relating (i_{mathrm{L}})

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Consider the first-order RL circuit shown in Figure 6.25.

a. Derive the input-output differential equation relating $i_{\mathrm{L}}$ and $v_{\mathrm{a}}$.

b. Determine the transfer function $V_{\mathrm{L}}(s) / V_{\mathrm{a}}(s)$, which relates the voltage across the inductor $v_{\mathrm{L}}(t)$ to the applied voltage $v_{\mathrm{a}}(t)$. Assume that all the initial conditions are zero.

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Related Book For answer-question

Modeling And Analysis Of Dynamic Systems

ISBN: 9781138726420

3rd Edition

Authors: Ramin S. Esfandiari, Bei Lu

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Question Posted: Mar 22, 2024 08:02 AM

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Consider the first-order RL circuit shown in Figure 6.25. a. Derive the input-output differential equation relating (i_{mathrm{L}})

Question:

FIGURE 6.25 Problem 2. + ww R elle V

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Modeling And Analysis Of Dynamic Systems

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