A step$-$up transformer connected to a $190$ V line is used to supply a hydrogen$-$gas discharge tube with $5\mathrm{.}4$ kV $($rms$).$ The tube dissipates $84$ 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?

$\frac{N_s}{N_p}=$

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

$I_P=$

$I_S=$

$($c$)$ What is the effective resistance $($in $)$ seen by the $190$ V source?

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