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Question: Answered & Verified by Expert
A capacitor of capacity $C_1$ is charged to the potential of $V_0$. On disconnecting with the battery, it is connected with a capacitor of capacity $C_2$ as shown in the adjoining figure. The ratio of energies before and after the connection of switch $S$ will be

PhysicsCapacitanceJEE Main
Options:
  • A $\left(C_1+C_2\right) / C_1$
  • B $C_1 /\left(C_1+C_2\right)$
  • C $\mathrm{C}_1 \mathrm{C}_2$
  • D $C_1 / C_2$
Solution:
2229 Upvotes Verified Answer
The correct answer is: $\left(C_1+C_2\right) / C_1$
$\begin{aligned} & \text { Energy }(C)=\frac{q^2}{2 C} . \text { q remains same so } U \propto \frac{1}{C} \\ & \Rightarrow \frac{U_{\text {Betore }}}{U_{\text {nner }}}=\frac{C_1+C_2}{C_1}\end{aligned}$

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