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Dipole

Question

A small electric dipole is kept on the axis of a uniformly charged ring at distance 2R  cm from the centre of the ring. The direction of the dipole moment is along the axis. The dipole moment is P , charge of the ring is Q and radius of the ring is R. The force on the dipole is kPQn3R. Find value of n

Difficult
Solution

  F=dUdx=PdEdx =PdkQxx2+R232dx =PkQx2+R2R2-2x2x2+R23 At x=2R we get  F=kPQ33R



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