A three$-$phase, $460V,1740rpm,60Hz,4$ pole induction motor has the following parameters per phase:

$R_1=0\mathrm{.}25,R_2=0\mathrm{.}19,x_1=x_2=0\mathrm{.}5,$ and $x_m=30.$

The rotational losses are $1700$ Watts. Please find

$($a$)($i$)$ Starting current when started directly with full voltage.

$($ii$)$ Starting torque.

$($b$)($i$)$ Full load slip

$($ii$)$ Full load current

$($iii$)$ Ratio of starting current to full load current

$($iv$)$ Full load power factor

$($v$)$ Full load torque

$($vi$)$ Motor efficiency at full load.

$($c$)($i$)$ Slip at which maximum torque is developed

$($ii$)$ Maximum torque developed.