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

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$\frac{Q}{4 π ε_{0} R}$ and zero

$\frac{Q}{4 π ε_{0} R}$ and $\frac{Q}{4 π ε_{0} R^{2}}$

Both are zero

zero and $\frac{Q}{4 π ε_{0} R^{2}}$

answer is A.

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Detailed Solution

Charges reside at the surface of a conductor.

Hence, the electric field $(E)$ at the centre of the conducting sphere of radius R, is zero.

i.e, $E = 0$

and the electric potential $(V)$ at the centre is given by

$V = \frac{Q}{4 {πε}_{0} R}$

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