Question: In a parallel (R L C) circuit, the state variable responses are [ begin{aligned} v_{mathrm{R}}(t) & =e^{-100 t}[5 cos (300 t)+15 sin (300 t)] mathrm{V},

In a parallel \(R L C\) circuit, the state variable responses areĀ 

\[
\begin{aligned}
v_{\mathrm{R}}(t) & =e^{-100 t}[5 \cos (300 t)+15 \sin (300 t)] \mathrm{V}, t \geq 0 \\
i_{\mathrm{L}}(t) & =20-25 e^{-100 t} \cos (300 t) \mathrm{mA}, t \geq 0
\end{aligned}
\]

Find \(R, L, C\), and \(\zeta\).

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