Answer
(a) $f = 50~Hz$
(b) $L = 1.59\times 10^{-3}~H$
Work Step by Step
(a) We can find the frequency:
$f = \frac{1}{period}$
$f = \frac{1}{0.02~s}$
$f = 50~Hz$
(b) We can find the inductance:
$I_L = \frac{V_L}{\omega ~L}$
$L = \frac{V_L}{\omega ~I_L}$
$L = \frac{V_L}{2\pi ~f ~I_L}$
$L = \frac{1~V}{(2\pi) (50~Hz) ~(2~A)}$
$L = 1.59\times 10^{-3}~H$
