Question

The electric potential of an uncharged, spherical conductor with a radius of 0.1 m is 10 V. If the sphere is located in a region of space with no electric fields, what is the electric potential at a point located 2 m from the center of the sphere

Answer 1

10 V.

Step-by-step explanation:

The relation between electric field and electric potential is as follows

`-\int\limits^a_b \vec{E}d\vec{l} = V_a - V_b`

Since the electric field is zero in the region, then the left-hand side of the above equation becomes zero.

`0 = V_a - V_b\\V_a = V_b`

This means that if electric field is zero in a region, then the electric potential is constant in that region. Therefore, the electric potential 2 m from the center of the sphere is equal to the potential of the sphere, which is 10 V.