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Capacitance of the earth in terms of its volume and surface area

The same question, asked 3 times: 22 Apr 2025 S2, 11 Apr 2026 S2, 19 May 2026 S1. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    22 Apr 2025 S2

    23
    Earth is assumed to be a charged conducting sphere having volume V and surface area A . The capacitance of the earth in free space is ( ε0=\varepsilon_{0}= permittivity of free space)

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  2. Question 2

    11 Apr 2026 S2

    126
    The earth is assumed to be a charged conducting sphere having volume 'V' and surface area 'A'. The capacitance of the earth in free space is (ϵ0\epsilon_0 = permittivity of free space)

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  3. Question 3

    19 May 2026 S1

    128
    Consider the earth to be a sphere, having charge QQ. Let RR, VV and AA be its radius, volume and area respectively. The capacitance of the earth is [ε0\varepsilon_0 = permittivity of free space]

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