A current 10 A is flowing East to West in a long wire kept horizontally in the East-West direction. Find the magnitude and direction of magnetic field in a horizontal plane at a distance of 10 cm North. 

A cyclotron oscillator frequency is 10 MHz. What should be the operating magnetic field for accelerating \(\alpha \) -particle? If the radius of the dees is 50 cm, what is the kinetic energy in MeV of the \(\alpha \)-particle beam produced by the accelerator?

Two identical magnets with a length 100cm are arranged freely with their like like poles facing in a vertical glass tube.The upper magnet hangs in air above the lower one so that the distance between the nearest poles of the magnet is 3mm. If the pole strength of the pole of these magnets is 6.64 A-m, then determine the force between the two magnets.

Determine the magnitude of the equatorial fields due to a bar magnet of length 6 cm at a distance of 60 cm from its mid-point. The magnetic moment of the bar magnet is 0.60A-m²

A Straight solenoid of length 50 cm has 1000 turns per metre and a mean cross-sectional area of  2 x 10-4 m². It is placed with its axis at 300, with a uniform magnetic field of 0.32 T. Find the torque acting on the solenoid when a current of 2 A is passed through it.