Question

What is the torque experienced by a current-carrying loop kept in a magnetic field?

Answer 1

For a coil of [N] turns, area [A], and current [I], the torque is \[[\vec{\tau}=\vec{\mu}\times\vec{B}]\], where \[[\vec{\mu}=NIA,\hat{\vec{n}}]\] is its magnetic dipole moment. Its magnitude is \[[\tau=NIAB\sin\theta]\], where \[[\theta]\] is the angle between the loop’s area vector and the magnetic field.