A long horizontal wire AB, which is free to move in a vertical plane and carries a steady current of 20 A, is in equilibrium at a height of 0.01 m over another parallel long wire CD which is fixed in a horizontal plane and carries a steady current of 30 A, as shown in figure. Shown that when AB is slightly depressed, it executes simple harmonic motion. Find the period of oscillations.

A horizontal wire AB of length 'l' and mass 'm' carries a steady current I_1 , free to move in vertical plane is in equilibrium at a heigh of 'h' over another parallel long wire CD carrying a steady current I_2 , which is fixed in a horizontal plane as shown. Derive the expression for the force acting per unit length on the wire AB and write the condition for which wire AB is in equilibrium.

A current of 10A is flowing east to west in a long wire kept in the east-west direction. Find magnetic field in a horizontal plane at a distance of 10cm north.

A current of 10A is flowing east to west in a long wire kept in the east-west direction. Find magnetic field in a horizontal plane at a distance of 20cm south from the wire

A long straight wire in the horizontal plane carries a current of 50 A in north to south direction. Give the magnitude and direction of B at a point 2.5 m east of the wire.

A long straight wire carries a current of 35 A. What is the magnitude of the field B at a point 20 cm from the wire?

Calculate the force per unit length between two parallel long straight wires 2 cm apart in air, each carrying a current of 4 ampere.

A current of 5 A is flowing east to west in an infinitely long wire kept along east-west direction. Find magnetic field in a vertical plane at a distance 40 cm above the wire.