An iron rod of volume `10^-4m^3` and relative permeability 1000 is placed inside a long solenoid wound with 5 turns/cm. If a current of 0.5A is passed through the solenoid, find the magnetic moment of the rod.

An iron rod of length 0.5 m, radius 0.02 m having relative permeability 120 is placed inside a long solenoid carrying a current of 0.8 A. If the solenoid has 250 turns m^-1 , find the magnetic dipole moment acquired by the iron rod.

An iron rod of length 0.5 m, radius 0.02 m having relative permeability 120 is placed inside a long solenoid carrying a current of 0.8 A. If the solenoid has 250 turns m^-1 , find the intensity of magnetisation

A solenoid of length 50cm, having 100 turns carries a current of 2.5A. Find the magnetic field at one end of the solenoid.

A solenoid of length 50cm, having 100 turns carries a current of 2.5A. Find the magnetic field in the interior of the solenoid.

A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be 0.27 T. What is the magnetic force on the wire?

Figure shows a short solenoid of length 4 cm, radius 2.0 cm and number of turns 100., lying inside on the axis of a long solenoid, 80 cm long and number of turns 1,500. What is the flux through the long solenoid, if a current of 5.0 A flows through the short solenoid? Also obtain the mutual inductance of the two solenoids.