torque of an electric dipole in an electric field will be

Total electric force on an electric dipole placed in an electric field of a point charge is :

For an electric dipole potential & electric field

The potential energy of an electric dipole in a uniform electric filed is U .The magnitude of the torque acting on the dipole due to the field is N .Then

(Fig. 3.95) shows four orientations of an electric dipole in an external electric field. Rank the orientations acording to the a. magnitude of the torque on the dipole, and b. potential energy of the dipole, greatest first. .

Show that the torque on an electric dipole placed in a uniform electric field is tau=pxxE independent of the origin about which torque is calculated.

Find the expression of torque acting on an electric dipole placed in a uniform electric field . Using the above obtained expression of torque find the expression for potential energy of electric dipole kept in the uniform electric field . Assume potential energy of electric dipole to be zero when its axis is perpendicular to the externally applied electric field .

How does a torque affect the dipole in an electric field ?