Consider an LRC circuit with (L=1.00 mathrm{H}, R=1.00 times 10^{2} Omega, C=) (1.00 times 10^{-4} mathrm{~F}), and

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Consider an LRC circuit with \(L=1.00 \mathrm{H}, R=1.00 \times 10^{2} \Omega, C=\) \(1.00 \times 10^{-4} \mathrm{~F}\), and \(V=1.00 \times 10^{3} \mathrm{~V}\). Suppose that no charge is present and no current is flowing at time \(t=0\) when a battery of voltage \(V\) is inserted. Find the current and the charge on the capacitor as functions of time. Describe how the system behaves over time.

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