A step$-$up transformer is designed so that the output of its secondary winding is $2,400$ V $($rms$)$ when the primary winding is connected to a $170$ V $($rms$)$ line voltage.

$($a$)$

If there are $120$ turns in the primary winding, how many turns are there in the secondary winding?

turns

$($b$)$

If a resistor connected across the secondary winding draws an rms current of $0\mathrm{.}55$ A$,$ what is the current $($in A$)$ in the primary winding?

A