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AP EAMCET202421 May 2024Evening ShiftPhysicsCapacitanceActual

The capacitance of an isolated sphere of radius r₁ is increased by 5 times, when it is enclosed by an earthed concentric sphere of radius r₂ . The ratio of their radii is

Options

  1. A4 5
  2. B5 4
  3. C5 1
  4. D3 5

Correct answer

A. 4 5

Step-by-step solution

aligned & C ₂=5 C ₁ & 4 ₀ ( r ₁ r₂ r ₂- r ₁ )=5 (4 ₀ r ₁ ) & r ₁ r ₂=5 r ₁ r ₂-5 r ₁^2 & 5 r ₁^2=4 r ₁ r ₂ & r ₁ r ₂ = 4 5 aligned

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