Torque on a Magnetic Dipole (Bar Magnet) in a Uniform Magnetic Field

Which of the following is correct about magnetic monopole?

Compass needle of magnetic moment m placed in a uniform magnetic field, experiences a torque equal to ______.

A magnetic dipole of magnetic moment `0.72sqrt(2) "Am"^2` is placed horizontally with the north pole pointing towards east. Find the position of the neutral point if the horizontal component of the earth's magnetic field is 18 μT.

A bar magnet of magnetic moment 1.5 J T^-1 lies aligned with the direction of a uniform magnetic field of 0.22 T.

What is the torque on the magnet in cases (i) and (ii)?

A bar magnet of magnetic moment 1.5 J T ^–1 lies aligned with the direction of a uniform magnetic field of 0.22 T.

1. What is the amount of work required by an external torque to turn the magnet so as to align its magnetic moment:
   1. normal to the field direction,
   2. opposite to the field direction?
2. What is the torque on the magnet in cases (i) and (ii)?

A very small magnet is placed in the magnetic meridian with its south pole pointing north. The null point is obtained 20 cm away from the centre of the magnet. If the earth¢s magnetic field (horizontal component) at this point be 0.3 gauss, the magnetic moment of the magnet is ______.

Magnetic potential energy U_m of compass needle of known magnetic moment m in a uniform magnetic field is ______.

A rectangular loop of area 5m2, has 50 turns and carries a current of 1A. It is hold in a uniform magnetic field of 0.1T, at an angle of 30°. Calculate the torque experienced by the coil.