Consider a series RLC circuit having the parameters R $=220,$ L $=630$ mH$,$ and C $=20\mathrm{.}0$F$.$ The applied voltage has an amplitude of $50\mathrm{.}0$ V and a frequency of $60\mathrm{.}0$ Hz$.$

$($a$)$ Find the current Imax and its phase relative to the applied voltage $$v$.$

A at $=$

$($b$)$ Find the maximum voltage $$VR across the resistor and its phase relative to the current.

V at $=$

$($c$)$ Find the maximum voltage $$VC across the capacitor and its phase relative to the current.

V at $=$

$($d$)$ Find the maximum voltage $$VL across the inductor and its phase relative to the current.

V at $=$