A straight wire carries a current I 1 down the symmetry axis of a toroidal solenoid with

Question:

A straight wire carries a current I₁ down the symmetry axis of a toroidal solenoid with a rectangular cross section of area ab. The solenoid has inner radius R and is composed of N turns of a wire that carries a current I₂.(a) Find the mutual inductance of the coil with respect to the wire.(b) Find the mutual inductance of the wire with respect to the coil.