A hollow metal sphere of radius 10cm is charged such that the potential in its surface is 5volt . What is the potential at the centre of the sphere?
When a conductor is at equilibrium, the electric field inside it is constrained to be zero. Since the electric field is equal to the rate of change of potential, this implies that the voltage inside a conductor at equilibrium is constrained to be constant at the value it reaches at the surface of the conductor.
To find the potential at the center of the sphere, we can use the fact that the potential inside a hollow, uniformly charged sphere is constant and equal to the potential on its surface.
Since the potential on the surface is given as 5 volts, we can conclude that the potential at the center of the sphere is also 5 volts.
This is because the charge is uniformly distributed on the surface of the sphere, so there is no electric field inside the hollow region. Therefore, the potential is constant throughout the interior, including at the center.