Answer
$L=3.6mH$
Work Step by Step
In the given scenario;
$\frac{1}{2}CV^2=\frac{1}{2}LI^2$
This can be rearranged as:
$CV^2=LI^2$
$L=\frac{CV^2}{I^2}$
We plug in the known values to obtain:
$L=\frac{4\times 10^{-6}(1.5)^2}{(0.050)^2}=3.6\times 10^{-3}=3.6mH$