A capacitor C is first charged fully with potential difference of $V_{0}$ and disconnected from the

Question

A capacitor C is first charged fully with potential difference of $V_{0}$ and disconnected from the battery. The charged capacitor is connected across an inductor having inductance L. In t s $25\%$ of the initial energy in the capacitor is transferred to the inductor. The value of $t$ is $\_\_\_\_$ s.

Accepted Answer

$U_{c_{f}} = 75\% U_{c_{i}}Q_{F}^{2} = \frac{3}{4}Q_{I}^{2}$$${Q_{i}cos\omega t = \frac{\sqrt{3}}{2}Q_{i} \Rightarrow t = \frac{T}{12} }{t = \frac{\pi}{6}\sqrt{LC}}$$

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