Given that,
The rate of change of current = 3.2 A/s
Emf induced in the coil = 5.7 V
To find,
The magnitude of the mutual inductance of the two coils.
Solution,
The mutual inductance between the coils is given by the formula as follows :
![\epsilon=M(dI)/(dt)\\\\M=(\epsilon)/((dI)/(dt))\\\\M=(5.7)/(3.2)\\\\=1.78\ H](https://img.qammunity.org/2021/formulas/physics/college/43twy030yokrxhv6b0b3lutshnoady7xow.png)
So, the mutual inductance of the two coils is 1.78 H.