Derive expression for the coefficient of mutual inductance between two long solenoids.

Derive an expression for the coefficient of self-induction of a long solenoid.

The mutual inductance between two coils depends on

Define mutual inductance. Write its SI unit. Derive an expression for the mutual inductance of two long co-axial solenoids of same length wound one over the other.

A conducting wire of 100 turns is wound over 1 cm near the centre of a solenoid of 100 cm length and 2 cm radius having 1,00 turns. Calculate coefficient of mutual inductance of the two solenoids.