Question

If a charged spherical conductor of radius 10 cm has potential v at a point distant 5 cm from its centre, then potential at a point distant15 cm from the centre will be

Answer 1

i hope this anwer help you

The potential inside a conductor is the same everywhere (if it wasn't, potential differences would exist and currents would flow internally until the charges redistributed and made the internal potential the same everywhere).

So everywhere, including the surface, of the conductor is at a potential of V.

Outside the sphere, the potential is given by k/r

This means the external potential is inversely proportional to distance from centre.

15cm is 3/2 times bigger than the radius (10cm), so the potential at 15cm is 3/2 times smaller than the potential at the surface.

Potential = V/(3/2) = (2/3)V

Regards

Rohit

thank you