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MHT CET 2021 (24 Sep, Shift 2) · Combination of Capacitors

Combination of Capacitors question from MHT CET 2021 (24 Sep, Shift 2)

Q60MHT CET 2021 · 24 SEP · SHIFT 2Easy

Combination of Capacitors

Capacitors of capacities $C_1, C_2$ and $C_3$ are connected in series. If the combination is connected to a supply of ' $V$ ' volt, then potential difference across capacitor ' $C_1$ ' is

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Answer: (c)

$\frac{1}{C_{eq}} = \frac{C_2 C_3 + C_1 C_3 + C_1 C_2}{C_1 C_2 C_3}$ , so $Q = \frac{C_1 C_2 C_3 V}{C_2 C_3 + C_1 C_3 + C_1 C_2}$ .
$V_1 = \frac{Q}{C_1} = \frac{C_2 C_3 V}{C_2 C_3 + C_1 C_3 + C_1 C_2}$
So the answer is (c).

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