Two coils close to each other have a mutual inductance of$27$ mH$.$ The current in one coil decays according to I$=$I$0$e$-$t $,$ where$$I$0=5\mathrm{.}0$A and $=3\mathrm{.}0103$ s$-1.$

a$)$ what is the emf induced in the second coil immediately after the current starts to decay?

$$ $=$V$$

b$)$ What is the emf induced in the second coil at t$=1\mathrm{.}010-3$ s$?$

$$ $=$ V$$