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JEE Main 2024 (1 Feb, Shift 1) · Charge Sharing & Loss of Energy

Charge Sharing & Loss of Energy question from JEE Main 2024 (1 Feb, Shift 1)

Q13JEE Main 2024 · 1 FEB · SHIFT 1Medium

Charge Sharing & Loss of Energy

Two identical capacitors have same capacitance $C$ . One of them is charged to the potential $V$ and other to the potential $2\text{ V}$ . The negative ends of both are connected together. When the positive ends are also joined together, the decrease in energy of the combined system is:

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Answer: (a)

For identical capacitors joined like plates: $\Delta U = \frac{1}{4}C(V_1 - V_2)^2$
$\Delta U = \frac{1}{4}C(2V - V)^2 = \frac{1}{4}CV^2$
So the answer is (a).

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