A step$-$up transformer connected to a $160$ V line is used to supply a hydrogen$-$gas discharge tube with $6\mathrm{.}8$ kV $($rms$).$ The tube dissipates $78$ W of power.

$($a$)$

What is the ratio of the number of turns in the secondary winding to the number of turns in the primary winding?

NsNP

$=$

$($b$)$

What are the rms currents in the primary and secondary windings $($in A$)?$

IP$=$ AIS$=$ A

$($c$)$

What is the effective resistance $($in $)$ seen by the $160$ V source?