A phase$-$shifted full$-$bridge converter for an onboard charger features a transformer fed by a $+/-380$

V square wave at $100$ kHz$.$ The transformer magnetizing inductance Lm is $0\mathrm{.}5$ mH$,$ and the turns

ratio n $=1\mathrm{.}053.$

$($a$)$ Determine the primary current if the secondary current is $15\mathrm{.}75$ A when the magnetizing current

is at a positive peak.

$($b$)$ What are the values of the square wave voltage on the secondary$?$