Question

A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are :

• A. Zero and $\frac{Q}{4\pi {ϵ}_0{R}^2}$
• B. $\frac{Q}{4\pi {ϵ}_{0}R}$ and Zero
• C. $\frac{Q}{4\pi {ϵ}_{0}R}$ and $\frac{Q}{4\pi {ϵ}_0{R}^2}$
• D. Both are zero

Answer 1

Answer: (B)

$\frac{Q}{4\pi {ϵ}_{0}R}$ and Zero

For a conducting sphere
Electric fidld at centre $=0$
Potential at centre $=\frac{KQ}{R}=\frac{Q}{4\pi {ϵ}_{0}R}$