Q.

A dipole has its moment p, is kept at the centre of a ring of radius, R and charge, q. The dipole moment has its direction along the axis of the ring. The resultant force on the ring due to the dipole is

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a

Zero

b

pq4πε0R3

c

pq2πε0R3

d

3pq4πε0R3 only if the charge is uniformly distributed on the ring

answer is B.

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Detailed Solution

The field due to dipole on the circumference of ring is E=14π∈0(PR3) and it is directed normal to the frame of ring. Hence force on the charged ring F=qE
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A dipole has its moment p, is kept at the centre of a ring of radius, R and charge, q. The dipole moment has its direction along the axis of the ring. The resultant force on the ring due to the dipole is