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Ratio of voltages for equal energy in series and parallel combinations of C1 and C2 in ratio 1:2

The same question, asked 2 times: 9 May 2024 S1*, 17 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    9 May 2024 S1

    6
    The ratio of potential difference that must be applied across parallel and series combination of two capacitors C1C_1 and C2C_2 with their capacitances in the ratio 1:21:2 so that energy stored in these two cases becomes same is:

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  2. Question 2

    17 Apr 2026 S1

    128
    Two capacitors, C1C_1 and C2C_2 have their capacitances in the ratio 1:2. VsV_s and VpV_p are the potential differences applied across the series and parallel combination of C1C_1 and C2C_2 respectively, so that the energy stored in the two cases becomes same. The ratio VsV_s to VpV_p is

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