Two insulated wires are wound on the same hollow cylinder so as to form two solenoids sharing a common air-filled core. Let l be the length of the core, A the cross -sectional area of the core, N1 the number of times the first wire is wound around the core, and N2 the number of times the second wire is wound around the core. Find the mutual inductance of the two solenoids, neglecting the end effects.


