A conducting sphere of radius R is given a charge Q . electric potential and electric field at centr

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2. Electric Potential and Capacitance

easy

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 $\frac{Q}{{4\pi \,{ \in _0}\,{R^2}}}$

B

$\frac{Q}{{4\pi \,{ \in _0}\,R}}$ and Zero

C

$\frac{Q}{{4\pi \,{ \in _0}\,R}}$ and $\frac{Q}{{4\pi \,{ \in _0}\,{R^2}}}$

D

Both are zero

Solution

At centre, $E = 0$ and $V = \frac{Q}{{4\pi \,{ \in _0}\,R}}$

Standard 12

Physics

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