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MHT CET 2023 (11 May, Shift 1) · Charge Sharing & Loss of Energy

Charge Sharing & Loss of Energy question from MHT CET 2023 (11 May, Shift 1)

Q16MHT CET 2023 · 11 MAY · SHIFT 1Medium

Charge Sharing & Loss of Energy

Two identical capacitors have the same capacitance ' $C$ '. One of them is charged to a potential $V_1$ and the other to $V_2$ . The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is

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Answer: (c)

Loss on joining like plates: $\Delta U = \frac{1}{2}\frac{C_1C_2}{C_1 + C_2}(V_1 - V_2)^2$
With equal $C$ : $\frac{C_1C_2}{C_1 + C_2} = \frac{C}{2}$
$\Delta U = \frac{1}{4}C(V_1 - V_2)^2$ , so the answer is (c).

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