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

Answer 1

Answer: (D)

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