Question

The electric potential at a point $P$ inside a uniformly charged conducting sphere of radius $R$ and charge $Q$ at a distance $r$ from the centre is :

• A. $0$
• B. $\infty$
• C. $\frac{Q}{4\pi {ϵ}_{0}r}$
• D. $\frac{Q}{4\pi {ϵ}_{0}R}$

Answer 1

Answer: (D)

$\frac{Q}{4\pi {ϵ}_{0}R}$

We have to find the electric potential inside a uniformly charged conducting sphere of Radius $R$ and charge $Q$.

We know that electric field inside a conducting sphere is zero, so the potential remains constant at the value it reaches the surface. $V_{inside}=\frac{1}{4\pi {\epsilon }_0}\frac{Q}{R}$