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Q.

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:

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a

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

b

Both are zero

c

$\frac{Q}{4 π \in_{0} R}$ and zero

d

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

answer is D.

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Detailed Solution

For a conducting sphere
Electric field at centre =0
Potential at centre $= \frac{K Q}{R} = \frac{Q}{4 π \in_{0} R}$

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