Question

A solid sphere of radius r carries charge q distributed uniformly throughout its volume. find the potential difference from the sphere's surface to its center.

Answer 1

Answer: The potential difference from the sphere's surface to its center is zero.

Explanation:

The expression for the potential difference due to charge is as follows;

$\Delta V=\frac{q}{4\pi \epsilon _{0}r}$

Here, $\Delta V$ is the potential difference, q is the charge, r is the position and $\epsilon _{0}}$ is the absolute permittivity of free space.

In the given problem, a solid sphere of radius r carries charge q distributed uniformly throughout its volume.

To find the potential difference from the sphere's surface to its center. Put r=0 in the expression of the potential difference.

$\Delta V=\frac{q}{4\pi \epsilon _{0}(0)}$

$\Delta V=0$

Therefore, the  potential difference from the sphere's surface to its center is zero.