Derive an expression for potential energy of an electric dipole in a uniform electric field. In which situation, the potential energy fo dipole is (i) maximum and (ii) minimum.

Derive an expression for torque in cartesian co-ordinates.

Derive an expression for the torque acting on an electric dipole placed in a uniform electric field.

When is the torque on a dipole in a field maximum ?

A rectangular coil of sides l and b carrying a current I is subjected to a uniform magnetic field vecB acting at an angle theta to its plane. Write the expression for the torque acting on it. In which orientation of the coil in the magnetic field, the torque is (i) minimum and (ii) maximum.

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

Force and Torque concept in Magnetic Field

An electric dipole of dipole miment vec(p) is placed in a uniform electric field vec(E ) . Write the expression for the torque vec tau experienced by the dopole. Identify two pairs of perpendicular vectors in the expression. Show diagrammatically the orientation of hte dipole in the field for which the torque is (i) maximum and (ii) half the minimum value, and (iii) zero.

(a) An electric dipole of dipole moment vecp is placed in a uniform electric field vecE at an angle theta with it. Derive the expression for torque (vec(tau)) acting on it. Find the orientation of the dipole relative to the electric field for which torque on it is (i) maximum, and (ii) half of maximum. (b) Two point charges q_(1)=+1muC and q_(2)=+4muC are placed 2 m apart in air. At what distance from q_(1) along the line joining the two charges, will the net electric field be zero ?