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JEE Main 2020 (8 Jan, Shift 1) · Combination of Capacitors

Combination of Capacitors question from JEE Main 2020 (8 Jan, Shift 1)

Q71JEE Main 2020 · 8 JAN · SHIFT 1Medium

Combination of Capacitors

Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 μF. When these capacitors are individually connected to a voltage source of 1V, the energy stored in the capacitor C2 is 4 times that of C1. If these capacitors are connected in series, their effective capacitance will be:

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Answer: (c)

Same $V$ : $U \propto C$ , so $C_2 = 4C_1$ .
$C_1 + C_2 = 10 \Rightarrow C_1 = 2\ \mu\text{F}$ , $C_2 = 8\ \mu\text{F}$ .
Series: $C_s = \frac{2\times8}{2+8} = 1.6\ \mu\text{F}$ .
So the answer is (c) $1.6\ \mu\text{F}$ .

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