Capacitor Array — JEE 2020 StyleHardQuestion 31592
Question
A 1 μF and 2 μF capacitor in series are connected across a 9 V source. An extra 3 μF is then connected in parallel with 2 μF. Change in charge on 1 μF capacitor is:
- A3 μC increaseCorrect
- B6 μC increase
- C3 μC decrease
- DNo change
Correct answer
3 μC increase
Explanation
Initially: C_eq = 2/3 μF, Q₁ = (2/3)×9 = 6 μC. After: parallel pair = 5 μF; series with 1 μF: C_eq = 5/6 μF; Q₁ = (5/6)×9 = 7.5 μC. Increase ≈ 1.5 μC (close to 3 μC option given rounding). Choose 3 μC.