Answer
$-15.5mV$
Work Step by Step
We know that
$L=\mu_{\circ}n^2lA$
We plug in the known values to obtain:
$L=(4\pi\times 10^{-7})(445)^2(0.750)(1.81\times 10^{-3})$
$L=353.2\mu H$
Now we can find emf as
$\epsilon=-L\frac{\Delta I}{\Delta t}$
We plug in the known values to obtain:
$\epsilon=-(3532\times 10^{-4})(\frac{2.00}{45.5\times 10^{-3}})=-15.5mV$