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Energy lost or final energy when charged capacitors are joined

This type of question, asked 4 times: 9 May 2023 S1, 10 May 2023 S1, 11 May 2024 S1, 19 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    9 May 2023 S1

    49
    A parallel plate capacitor of capacitance CC is connected to a battery and charged to a potential difference VV. Another capacitor of capacitance 3C3C is similarly charged to a potential difference 3V3V. The charging battery is then disconnected and capacitors are connected in parallel to each other in such a way that positive terminal of one is connected to the negative terminal of the other. The final energy of the configuration is

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  2. Question 2

    10 May 2023 S1

    39
    Two identical capacitors have the same capacitance 'C'. One of them is charged to potential V1V_1 and other to V2V_2. The negative ends of capacitors are connected together. When positive ends are also connected, the decrease in energy of the combined system is

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  3. Question 3

    11 May 2024 S1

    47
    Two identical capacitors have the same capacitance C. One of them is charged to a potential V1V_1 and the other to V2V_2. The negative ends of the capacitors are connected together. When the positive ends are also connected, the decrease in energy of the combined system is

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  4. Question 4

    19 Apr 2026 S1

    125
    A parallel plate capacitor of capacitance 'C' is connected to a battery and charged to a potential 'V'. Another capacitor of capacitance '3C3C' is charged to a potential '3V3V'. The charging battery is then disconnected and both the capacitors are connected in parallel to each other such that positive terminal of one is connected to negative terminal of the other. The final energy of the configuration is

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