A sinusoidal voltage $$v $=45\mathrm{.}0$ sin $100$t$,$ where $$v is in volts and t is in seconds, is applied to a series RLC circuit with L $=150$ mH$,$ C $=99\mathrm{.}0$F$,$ and R $=72\mathrm{.}0.$

$($a$)$ What is the impedance of the circuit?

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$($b$)$ What is the maximum current?

A

$($c$)$ Determine the numerical value for $$ in the equation i $=$ Imax sin $($t $).$

rad$/$s

$($d$)$ Determine the numerical value for $$ in the equation i $=$ Imax sin $($t $).$

rad