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Q.

A charge Q is kept at the center of a circle of radius $r$ . If permittivity of free space is $\in_{0}$ then the work done in carrying a charge $q$ along the diameter of the circle will be

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a

$q Q / (4 π \in_{0} \in_{r} r)$

b

$q Q / (8 π \in_{0} r)$

c

$q Q / (2 π \in_{0})$

d

Zero

answer is D.

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Detailed Solution

The surface of the sphere is an equipotential surface.

$W_{A B} = q (V_{B} - V_{A}) = q \times 0 = 0.$

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