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C2 in terms of C1 when a series and a parallel combination store equal energy

The same question, asked 2 times: 16 May 2023 S1*, 22 Apr 2025 S1. Every wording below, oldest first.

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  1. Question 1

    16 May 2023 S1

    40
    A series combination of n1n_1 capacitors, each of value C1C_1 is charged by a source of potential difference 6 V. Another parallel combination of n2n_2 capacitors, each of value C2C_2 is charged by a source of potential difference 2 V. Total energy of both the combinations is same. The value of C2C_2 in terms of C1C_1 is

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  2. Question 2

    22 Apr 2025 S1

    10
    A series combination of 10 capacitors, each of value ' C1C_{1} ' is charged by a source of potential difference ' 4 V '. When another parallel combination of 8 capacitors, each of value ' C2C_{2} ' is charged by a source of potential difference ' V ', it has the same total energy stored in it as in the first combination. The value of ' C2C_{2} ' is

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