$2)$ A $220$ V Y connected $60$ Hz $10$ pole induction motor has an armature per phase resistance of $1\mathrm{.}2$ draws input line current of $22$ A at $0\mathrm{.}84$ pf lagging. It has stator core losses of $200$ W and frictional and windage losses of $250$ W $.$

For a rotor slip of $0\mathrm{.}04,$ find:

$($a$)$ Air gap Power: $P_{ag}$

$($b$)$ Rotor Cu Losses

$($c$)$ Pconv

$($d$)$ Pout

$($e$)$ Tout