Question

Potential at any point inside a charged hollow sphere :

• A. increases with distance
• B. is a constant
• C. decreases with distance from centre
• D. is zero

Answer 1

Answer: (B)

If a charge is taken from one point to another inside a charged spherical shell no work is done.
The electric field inside a spherical charge is zero everywhere.

Since, $E=-\frac{dV}{dx}$
$\therefore E=0$,
$\Rightarrow \frac{dV}{dx}=0$

$\Rightarrow$ V= constant.
The value of potential at spherical shell is given by
$V=\frac{1}{4\pi {\epsilon }_0}\frac{q}{k}$ volt
Its value is same as that on the surface.