Question

Derive an expression for torque acting on a magnetic dipole placed in a region of uniform magnetic induction . Express it in vector form .​

Answer 1

Explanation:

Electric dipole moment is the measure of separation of positive and negative charges. It is the measure of overall polarity. Its SI unit is Coulomb-meter.

Consider a dipole with charge -q and +q forming a dipole since they are at a distance of away from each other. The electric field applied here is uniform having strength E such that the axis of dipole from angle Q with electric field.

f+ ---> = +qE ----->

f- -----> = -qE ----->

The components of force perpendicular dipole are:

f perpendicular + = + qE sin

f perpendicular - = - qE sin

since the force magnitudes are equal and seperated by a distance d the torquea ting is

e = dqEsin Q

but dipole moment p = qd

Torque is cross product of dipole moment and electronic field. Conqur is a clockwise these is negitive and electronic field is positive.