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  4. An electric dipole is kept on the axis of a uniformly charged ring at distance R/√2 from the centre of the ring. The direction of the dipole moment is along the axis. The dipole moment is P , the charge of the ring is Q and the radius of the ring is R . The force on the dipole is nearly

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Q. An electric dipole is kept on the axis of a uniformly charged ring at distance $R/\sqrt{2}$ from the centre of the ring. The direction of the dipole moment is along the axis. The dipole moment is $P$ , the charge of the ring is $Q$ and the radius of the ring is $R$ . The force on the dipole is nearly

NTA AbhyasNTA Abhyas 2020Electrostatic Potential and Capacitance

Solution:

At $x = \frac{R}{\sqrt{2}}$ , the electric field due to the ring is maximum.
The force on a dipole in a non-uniform field is
$F=p\frac{d E}{d x}$
But at the point of maxima, $\frac{d E}{d x}=0$
This means $F=0$