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Q. An electric dipole of moment $\overrightarrow {p}$ is placed in a uniform electric field $\overrightarrow {E}$. Then
(i) the torque on the dipole is $p \times E$
(ii) the potential energy of the system is $\overrightarrow{p}$.$\overrightarrow{E}$
(iii) the resultant force on the dipole is zero.

KEAMKEAM 2010Electric Charges and Fields

Solution:

The torque acting on a dipole is given by $\tau$ = p $\times$ E, the potential energy of the dipoie is given by $U$ = - p. E and the resuitant force on the dipole is zero.