A sinusoidal voltage $$v $=43\mathrm{.}0$ sin $100$t$,$ where $$v is in volts and t is in seconds, is applied to a series RLC circuit with L $=155$ mH$,$ C $=99\mathrm{.}0$F$,$ and R $=59\mathrm{.}0.$

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

What is the angular frequency of the source? $$

$($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