The expression for magnetic induction inside a solenoid of length `L` carrying a current `I` and having `N` number of turns is

Define self -inductance and its S.I. unit. Derive an expression for self- industance of a long, air-cored solenoid of length , radius r , and having N number of turns.

Derive an expression for the magnetic field due to a solenoid of length 2l , radius a, having n number of turns per unit length and carrying a steady current I, at a point on the axial line, distant r from the centre of the solenoid. How does this expression compare with the axial magnetic field due to a bar magnet of magnetic moment M?

The self inductance of a solenoid of length L, area of cross-section A and having N turns is-

Define mutual inductance between two long coaxial solenoids. Find out the expression for the mutual of inner solenoid of length 1 having the radius r_(1) and the number of turns n_(1) per unit length due to the second other solenoid of same length and n_(2) number of turns per unit length.