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Equivalent capacitance of parallel plate capacitors in parallel with separations d, 2d, 3d and so on

The same question, asked 3 times: 11 Apr 2026 S2*, 15 Apr 2026 S2*, 19 May 2026 S2. Every wording below, oldest first.

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  1. Question 1

    11 Apr 2026 S2

    128
    Three parallel plate air capacitors are connected in parallel. Each capacitor has plate area A/3 and separation between the plates is d, 2d and 3d respectively. The equivalent capacity of the combination is (ϵ0\epsilon_0-permittivity of free space)

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  2. Question 2

    15 Apr 2026 S2

    128
    Two parallel plate air capacitors are connected in parallel. Each capacitor has plate area A/2A/2 and separation between the plates is dd and 2d2d respectively. The equivalent capacity of the combination is ( ϵ0\epsilon_0 = absolute permittivity of free space)

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  3. Question 3

    19 May 2026 S2

    128
    Four parallel plate capacitors are connected in parallel. Each capacitor has a plate area A4\dfrac{A}{4} and the separation between the plates is d,2d,3dd, 2d, 3d and 4d4d respectively. The equivalent capacity of the combination is [ε0=\varepsilon_0 = permittivity of free space]

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