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At steady state the charge on the capacitor, as shown in the circuit below, is ______ μC. [Figure: a 5 V cell in series with a 10 Ω and a 15 Ω resistor; an 8 μF capacitor is connected directly across the 10 Ω resistor.]

Asked in JEE Main 23rd Jan 2nd Shift 2025 · Capacitors in DC circuits

Figure: Capacitors in DC circuits
Answer: 16

Step-by-step solution

At steady state no current flows into the capacitor, so the current is I=5/(10+15)=0.2 A.

Voltage across the 10 Ω resistor (and the capacitor): 0.2×10=2 V.

Q=CV=8×2=16 μC.

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