The current flowing through the coil is denoted by Ia.
Mutual induction between A and B is known as Mab.
The number of turns in coil A is Na.
The number of turns in coil B is Nb.
an is the flux associated with coil A as a result of coil B.
b is the flux associated with coil B as a result of coil A.
B = M22 = MabI1=5mH is the total flow.
Total flow via A = Maϕa = MabI1 = 5mWb
dI/dt = 0 when the emf is 40 seconds.