The current in a long solenoid of radius R and having n turns per unit length is given by `i= i_0 sin omega t`. A coil having N turns is wound around it near the centre. Find (a) the induced emf in the coil and (b) the mutual inductance between the solenoid and the coil.

A conducting ring of radius b is placed coaxially in a long solenoid of radius a (b < a) having n turns per unit length. A current i = i_(0) , cos omega t flows through the solenoid. The induced emf in the ring is

A solenoid of radius R has n turns per unit length, then the self-inductance of the solenoid per unit length is

A solenoid 0.70 m in length and of 2100 turns has a radius 4.5xx10^(-2) m. A second coil of 750 turns is wound over the middle part of the solenoid. Find the self inductance of the solenoid and mutual inductance between the two coils.

A long solenoid has n turns per unit length and carries a current i = i_(0) sin omega t . A coil of N turns and area A is mounted inside the solenoid and is free to rotate about its diameter that is perpendicular to the axis of the solenoid. The coil rotates with angular speed omega and at time t = 0 the axis of the coil coincides with the axis of the solenoid as shown in figure. Write emf induced in the coil as function of time.

A conducting wire of 100 turns is wound over and near the centre of a solenoid of 100 cm length and 2 cm radius having 600 turns. Calculate mutual inductance of two coils.

A long solenoid of length l, crosssectional area A and having N_1 turns(primary coil), has a small coil of N_2 turns (secondary coil) wound about its centre. Determine the Mutual inductance (M) of the two coils.