Two solenoids A and B, placed close to each other and sharing the same cylindrical axis, have 400 and 700 turns, respectively. A current of 3.50A in coil A produces an average flux of 300μT⋅m2 through each turn of A and a flux of 90.0μT⋅m2 through each turn of B.
(a) Calculate the mutual inductance of the two solenoids.
(b) What is the self-inductance of A?
(c) What emf is induced in B when the current in A increases at the rate of 0.5A/s?