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    Question

    Two capacitors of capacitance 6 µF and 3 µF are

    connected in series across a battery of constant voltage. The charges stored on the two capacitors in this setup are denoted as Q 1​ and Q 2​, respectively. Now, both capacitors are disconnected and separately connected across the same battery (one at a time). Let the new charges stored on the 6 µF and 3 µF capacitors be Q 3​ and Q 4​, respectively. Which of the following is the correct relation?
    A Q₃ > Q₄ > Q₁ = Q₂ Correct Answer Incorrect Answer
    B Q₁ = Q₂ > Q₃ > Q₄ Correct Answer Incorrect Answer
    C Q₃ > Q₁ = Q₂ > Q₄ Correct Answer Incorrect Answer
    D Q₃ = Q₄ > Q₁ = Q₂ Correct Answer Incorrect Answer

    Solution

    Case 1: Capacitors in Series When capacitors are connected in series, they have the same charge. Let the equivalent capacitance of the series combination be CS Assuming V is a positive value, we can establish the following inequality: 6V>3V>2V Therefore, Q3> Q4> Q1 = Q2

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