A capacitor is connected to an AC source. If the maximum current in the circuit is $0\mathrm{.}580$ A and the voltage from the AC source is given by $v=(85\mathrm{.}8V)sin[(78)s^{-1}t],$ determine the following.

$($a$)$ the rms voltage $($in V $)$ of the source

V

$($b$)$ the frequency $($in Hz $)$ of the source

Hz

$($c$)$ the capacitance $($in $F)$ of the capacitor