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Question

A charge Q is placed in front of a conducting sphere at a distance 2r from center of sphere as shown in the figure. Potential at point P on the surface of sphere due to induced charges is


  1. 0
  2. kQ6r
  3. kQ2r
  4. kQ3r


Solution

The correct option is B kQ6r
Potential at C due to Q and induced charges is VC=kQ2r [Potential at C due to induced charges is zero]
Since Field is zero inside sphere VC=VP
Where VP=VQ+VQin
VQin is potential due to induced charges.
kQ2r=kQ3r+VQin    
    VQin=kQ6r

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