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MHT CET 2023 (14 May, Shift 2) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2023 (14 May, Shift 2)

Q42MHT CET 2023 · 14 MAY · SHIFT 2Medium

Combination of Capacitors

Two condensers one of capacity $\frac{C}{2}$ and other capacity $C$ are connected to a battery of voltage $V$ as shown. The work done in charging fully both the condensers is

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Answer: (b)

Both condensers are directly across the battery, so they are in parallel: $C_p = C + \frac{C}{2} = \frac{3C}{2}$ .
Energy stored $= \frac{1}{2}C_pV^2 = \frac{1}{2}\cdot\frac{3C}{2}V^2 = \frac{3}{4}CV^2$ .
So the answer is (b) $\frac{3}{4}CV^2$ .

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