Answer
$L=3.8\times 10^{-5}H$
Work Step by Step
We know that;
$\omega=2\pi f$
$\omega=2(3.1416)(10000)=62832\frac{rad}{s}$
Also,
$\omega=\sqrt\frac{1}{LC}$
This can be rearranged as:
$L=\frac{1}{C\omega^2}$
We plug in the known values to obtain:
$L=\frac{1}{6.7\times 10^{-6}(62832)^2}=3.8\times 10^{-5}H$
