An inductor $($L $=430$ mH$),$ a capacitor $($C $=4\mathrm{.}43$F$),$ and a resistor $($R $=470)$ are connected in series. A $50\mathrm{.}0-$Hz AC source produces a peak current of $250$ mA in the circuit.

$($a$)$ Calculate the required peak voltage $$Vmax$.$

V

$($b$)$ Determine the phase angle by which the current leads or lags the applied voltage.

magnitude $$direction$---$Select$---$leads$$lags