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Question

A sphere of radius R has uniform volume charge density. The electric potential at a point situated at a distance r (r < R) is :

A
due to the charge inside a sphere of radius r only
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B
due to the entire charge of the sphere
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C
due to the charge in the spherical shell of inner and outer radii r and R only
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D
independent of r
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Solution

The correct option is C due to the charge inside a sphere of radius r only

By Gauss's law the electric field at a distance r is E.4πr2=Qenϵ0

or E=Qen4πϵ0r2 where Qen= charge inside sphere of radius r.

As the potential V=Edr so the electric potential at r due to charge inside a sphere of radius r only.


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