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In the given figure, the charge stored in 6 μF capacitor, when points A and B are joined by a connecting wire is ______ μC. [Figure: two vertical branches between a top node held at 9 V and a grounded bottom node. Left branch: 6 Ω from the top to point A, then 3 μF from A to ground. Right branch: 6 μF from the top to point B, then 3 Ω from B to ground.]

Asked in JEE Main 29th Jan 2nd Shift 2024 · Capacitors in DC circuits

Figure: Capacitors in DC circuits
Answer: 36

Step-by-step solution

With A and B joined, steady current flows 9 V→6 Ω→ A→ B→3 Ω→ ground; the capacitors carry none.

I=9/(6+3)=1 A, so V_A=V_B=9-6×1=3 V.

Voltage across the 6 μF capacitor: 9-3=6 V.

Q=6×6=36 μC.

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