When an AC source is connected across a $18\mathrm{.}0$ resistor, the output voltage is given by $$v $=(160$ V$)$sin$(60$t$).$ Determine the following quantities.

$($a$)$ maximum voltage

V

$($b$)$ rms voltage

V

$($c$)$ rms current

A

$($d$)$ peak current

A

$($e$)$ Find the current when t $=0\mathrm{.}0045$ s$.$

A