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A capacitor \( \mathrm{C} \) with a charge \( \mathrm{Q}_{0} \) is connected across
P an inductor through a switch S. If at \( t=0 \), the switch is closed, then find the instantaneous charge \( q \) on the upper plate of capacitor.
(1) \( q=2 \mathrm{Q}_{0} \sin \left(\sqrt{\frac{1}{\mathrm{LC}}} t+\frac{\pi}{2}\right) \)
(2) \( q=\frac{\mathrm{Q}_{0}}{2} \sin \left(\sqrt{\frac{1}{\mathrm{LC}}} t+\frac{\pi}{2}\right) \)
(3) \( q=\mathrm{Q}_{0} \sin \left(\sqrt{\frac{1}{\mathrm{LC}}} t+\frac{\pi}{2}\right) \)
(4) \( q=\mathrm{Q}_{0} \sin \left(\sqrt{\frac{1}{\mathrm{LC}}} t-\frac{\pi}{2}\right) \)
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