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MHT CET202210 Aug 2022Morning ShiftPhysicsCapacitanceActual

The earth is assumed to be charged conducting sphere having volume V and surface area A . The capacitance of the earth in free space is

Options

  1. A2 ₀ V A
  2. B12 ₀ V A
  3. C8 ₀ V A
  4. D4 ₀ V A

Correct answer

B. 12 ₀ V A

Step-by-step solution

If we assume shape of earth be solid sphere of radius R . The ratio of earth volume to surface area: V A = ( 4 3 R^3 ) 4 R^2 = R 3 or, R= 3 V A The capacitance of earth is, C_E=4 ₀ R=4 ₀ ( 3 V A )= 12 ₀ V A

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