JEE Physics · Hard

Capacitance: Capacitor Array — JEE 2020 Style MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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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:
  1. A
    3 μC increase
    Correct
  2. B
    6 μC increase
  3. C
    3 μC decrease
  4. D
    No 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.