JEE Advanced · PhysicsEasy

A hollow metal sphere of radius is charged such that the potential on its surface is . The potential at the center of the sphere is:

  1. A.
  2. B.
  3. C.
  4. D.
Show correct answer & step-by-step solution

Correct answer: C

Solution

  1. For a hollow conducting sphere, the electric field inside is zero.
  2. Since , the potential must be constant inside.
  3. The potential at any point inside is equal to the potential at the surface.
  4. Given , the potential at the center is .
  5. Hence the answer is (C).

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