An AC source operating at $64$ Hz with a maximum voltage of $170$ V is connected in series with a resistor

$($R $=1\mathrm{.}2$ k$)$

and an inductor

$($L $=2\mathrm{.}7$ H$).$

$($a$)$ What is the maximum value of the current in the circuit?

A

$($b$)$ What are the maximum values of the potential difference across the resistor and the inductor?

$$VR$,$max $=$ V

$$VL$,$max $=$ V

$($c$)$ When the current is at a maximum, what are the magnitudes of the potential differences across the resistor, the inductor, and the AC source?

$$vR $=$ V

$$vL $=$ V

$$vsource $=$ V

$($d$)$ When the current is zero, what are the magnitudes of the potential difference across the resistor, the inductor, and the AC source?