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JEE Main 2024 (29 Jan, Shift 2) · Combination of Capacitors

Combination of Capacitors question from JEE Main 2024 (29 Jan, Shift 2)

Q38JEE Main 2024 · 29 JAN · SHIFT 2Difficult

Combination of Capacitors

In the given figure, the charge stored in $6\ \mu\text{F}$ capacitor, when points $A$ and $B$ are joined by a connecting wire is __________ $\mu\text{C}$ .

Numerical answer type. Work it out, then open the answer.

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Answer: 36

With A and B joined, in steady state current flows 9 V $\to 6\ \Omega \to$ wire $\to 3\ \Omega \to$ ground: $I = \frac{9}{9} = 1$ A.
$V_A = V_B = 9 - 1\times 6 = 3$ V
The $6\ \mu\text{F}$ is between 9 V and B: voltage $= 9 - 3 = 6$ V.
$Q = 6\times 6 = 36\ \mu\text{C}$
Answer: 36 $\mu$ C

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