Question

a hollow conducting sphere of radius 2cm is Charged such that the potential on its surface is 20V the electric potential at the centre of the sphere will be​

Answer 1

Answer:

20V may be the answer 90% this may be

Answer 2

Given:

Hollow conducting sphere of radius $r=2cm$ and the electric potential of the surface, $V_s=20V$.

To Find:

Potential at the center of the sphere, $V_o=?$

Solution:

We know that the electric field inside any conducting object is zero.

Also, the electric field at any point is the negative gradient of the potential at that point.

                                $E=-\frac{dV}{dr}$

Since, the electric field is zero, hence the potential must remain constant throughout the volume of the conductor,

                                 $-\frac{dV}{dr} =0$

                             ⇒ $V=constant$

i.e the potential at the surface of the conductor is equal to the potential throughout the conductor.

Hence, the potential at the surface of the conductor is 20V.