Question

The potential at a distance $R/2$ from the centre of a conducting sphere of radius $R$ containing charge $Q$ will be

• A. $0$
• B. $\frac{Q}{8\pi {ϵ}_{0}R}$
• C. $\frac{Q}{4\pi {ϵ}_{0}R}$
• D. $\frac{Q}{2\pi {ϵ}_{0}R}$

Answer 1

The correct option is C $\frac{Q}{4\pi {ϵ}_{0}R}$

$V_{inside}$ is the potential inside the conducting sphere of radius $R$ is always constant and given by

$V=V_{R/2}=\frac{kQ}{R}=\frac{1}{4\pi {ϵ}_0}\frac{Q}{R}$

Hence, option $\left(c\right)$ is the correct answer.