If the solenoid is free to turn about the vertical direction and a uniform horizontal magnetic field of 0.25 T is applied, what is the magnitude of torque on the solenoid when its axis makes an angle of `30^(@)` with the direction of applied field ? Here `M = 0.6 J T^(-1)`

What is the magnitude of magnetic force per unit length on a wire carrying a current of 8A and making an angle of 30^(@) with the direction of a uniform magnetic field of 0.15 T ?

A coil of 100 turns and area 5 square centimetre is placed in a magnetic field B = 0.2T. The normal to the plane of the coil makes an angle of 60^(@) with the direction of the magnetic field. The magnetic flux linked with the coil is

A bar magnet of magnetic moment 1.5 JT^(-1) lies aligned with the direction of a uniform magnetic field of 0.22 T. (a) What is the amount of work required by an external torque to turn the magnet so as to align its magnetic moment: (i) normal to the field direction (ii) opposite to the field direction? (b) What is the torque on the magnet in cases (i) and (ii)?

A bar magnet of length 0.1 m and with a magnetic moment of 5Am^(2) is placed in a uniform a magnetic field of intensity 0.4T, with its axis making an angle of 60^(@) with the field. What is the torque on the magnet ?

A bar magnet of magnetic moment 1.5 JT^(-1) lies aligned with the direction of a uniform magnetic field of 0.22 T. (a) What is the amount of worl required by an external torque to turn the magnet so as to align its magnetic moment : (i) normal to the field direction, (ii) opposite to the field direction ?

A beam of protons enters a uniform magnetic field of 0.314 T with a velocity 4xx10^(5) ms^(-1) in a direction making an angle 60^(@) with the direction of the magnetic field. The path of the beam is (mass of proton = 1.6xx10^(-27) kg)

Circular coil of 30 turns, and radius 8.0 cm carrying a current of 6.0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T. The field lines make an angle of 60^(@) with the normal of the coil. Calculate the magnitude of the counter torque that must be applied to prevent the coil form turning.