Consider the following RLC circuit in Figure 3.38 and find: (a) The time domain equation relating (i(t))

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Consider the following RLC circuit in Figure 3.38 and find:

(a) The time domain equation relating $i(t)$ and $v_{1}(t)$.

(b) The time domain equation relating $i(t)$ and $v_{2}(t)$.

(c) The Transfer Function model $V_{2}(s) / V_{1}(s)$, assuming zero initial conditions.

(d) The damping ratio $\xi$ and the natural frequency $\omega_{n}$.

(e) The value of $R$ such that the overshoot, $M_{p}=25 \%$ where $v_{1}(t)$ is a unit step input, $L=10 \mathrm{mH}$ and $C=4 \mu F$.

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Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

ISBN: 9781032718804

2nd Edition

Authors: Arthur G O Mutambara

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Question Posted: Mar 14, 2024 10:00 PM

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Consider the following RLC circuit in Figure 3.38 and find: (a) The time domain equation relating (i(t))

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The KVL and KCL are used to set up the equations a From applying the KVL in the input loop it follow...View the full answer

Design And Analysis Of Control Systems Driving The Fourth Industrial Revolution

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