Derive an expression for force and torque acting on an electric field. In which situation, torque on the dipole is (i) maximum and (ii) minimum

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 ?

Torque acting on a dipole in electric field is given by:

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.