A capacitor of capacitance $C$ is charged to potential difference $V_0$. Now this capacitor is connected to an ideal inductor. When $25\%$ of energy of capacitor is transferred to inductor then at that time what will be potential difference across capacitor
Medium
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Initial energy in the capacitor is
$\mathrm{U}_{0}=\frac{\mathrm{q}_{0}^{2}}{2 \mathrm{C}}$
after connecting the inductor energy
$\mathrm{U}=\frac{3 \mathrm{U}_{0}}{4}$
So, $\mathrm{q}=\frac{\sqrt{3}}{2} \mathrm{q}_{0}$
and $\mathrm{V} \propto \mathrm{q}$
So, $\mathrm{V}=\frac{\sqrt{3}}{2} \mathrm{V}_{0}$
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