A capacitor is charged to store energy $U$. The charging battery is disconnected and an identical ca

Question

A capacitor is charged to store energy $U$. The charging battery is disconnected and an identical capacitor is now connected to the first capacitor in parallel. The energy in each of the capacitors is\

Professor PC Thomas Classes · Answer

As battery is disconnected, total charge Q is shared equally by two capacitors. Energy of each capacitor $=\frac{(\mathrm{Q} / 2)^{2}}{2 \mathrm{C}}=\frac{1}{4} 	imes \frac{1}{2} \frac{\mathrm{Q}^{2}}{\mathrm{C}}=\frac{\mathrm{U}}{4}$\