A long solenoid with circular cross section of radius r1 and n turns per unit length is inside and coaxial with a short coil with circular cross section section of radius r2 and N turns. The current in the solenoid is increased ata constant rate from zero to i over a time interval of T. Find the mutal indutance betwwen the two coils and the potential difference induced in the short coil while the current is changing.

