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AP EAMCET · PHYSICS · Electrostatics

A Van de Graaff generator has a spherical metal shell as an electrode which is at a potential \(15 \times 10^6 \mathrm{~V}\). If the dielectric strength of the surrounding medium is \(5 \times 10^7 \mathrm{Vm}^{-1}\), then the diameter of the shell is

  1. A 30 cm
  2. B 15 cm
  3. C 60 cm
  4. D 120 cm
Verified Solution

Answer & Solution

Correct Answer

(C) 60 cm

Step-by-step Solution

Detailed explanation

Potential difference, \(V=15 \times 10^6 \mathrm{~V}\) Dielectric strength of medium \(=5 \times 10^7 \mathrm{~V} / \mathrm{m}\) Electric field intensity, \[ E=5 \times 10^7 \mathrm{~V} / \mathrm{m} \] Minimum radius of spherical shell required for the purpose is given by…