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Let a conducting solid sphere have a charge Q on its surface.so what is the potential at the centre.

Let a conducting solid sphere have a charge Q on its surface.so what is the potential at the centre.

Grade:12

1 Answers

Yash Jain
55 Points
6 years ago
See, the electric field inside the conducting sphere is zero because no charge resides inside its surface.
So, by the expression, E = -∂V/∂R 
V is constant since E is zero.
Thus, it will have the same value as it has on the surface i.e., Vcenter = Vsurface
Hence, Vcenter = kQ/R  [where k = 1/4piE  and R is the radii of the sphere]

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