A $50$ Hz sinusoidal voltage with a maximum amplitude of $340$ V at t $=0$ is

applied across the terminals of an inductor. The maximum amplitude of the steady$-$state current in the inductor is $8\mathrm{.}5$ A$.$

$($a$)$ What is the frequency of the inductor current?

$($b$)$ If the phase angle of the voltage is zero, what is the phase angle of the current?

$($c$)$ What is the inductive reactance of the inductor?

$($d$)$ What is the inductance of the inductor in millihenrys?

$($e$)$ What is the impedance of the inductor?