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Counter-Strike: Source (2004)

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In the given circuit the capacitor \( (C) \) may be charged through resistance \( R \) by a battery \( V \) by closing switch \( S_{1} \). Also when \( S_{1} \) is opened and \( S_{2} \) is closed the capacitor is connected in series with inductor \( (L) \).

Given that the total charge stored in the \( L C \) circuit is
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\( Q_{0} \), for \( t \geq 0 \), the charge on the capacitor is
(1) \( Q=Q_{0} \cos \left(\frac{\pi}{2}+\frac{t}{\sqrt{L C}}\right) \)
(2) \( Q=Q_{0} \cos \left(\frac{\pi}{2}-\frac{t}{\sqrt{L C}}\right) \)
(3) \( Q=-L C \frac{d^{2} Q}{d t^{2}} \)
(4) \( \hat{Q}=-\frac{1}{\sqrt{L C}} \frac{d^{2} Q}{d t^{2}} \)


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