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Eight point charges of charge q each are placed on the eight corners of a cube of side a . A solid neutral metallic sphere of radius a 3 is placed with its centre at the centre of the cube. As a result, charges are induced on the sphere, which form a certain pattern on its surface. The electric potential of the sphere is

Options

  1. A–12 3 Kq a
  2. B18 4 Kq a
  3. C- 8 2 Kq a
  4. D16 3 Kq a

Correct answer

D. 16 3 Kq a

Step-by-step solution

Net induced charge on sphere is zero so its potential at its own centre will be zero. V 0 = potential due to charges placed at eight corners V 0 = 8Kq 3 2 a ⇒ V 0 = 16Kq 3  a

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