A $3-$phase, $4000$ hp$,6000$ V$,60$ Hz $8-$pole wound$-$rotor induction motor turns

at $749$ r$/$min$.$ The motor has the following characteristics:

$1.$ open$-$circuit voltage induced between slip$-$rings with rotor

locked $=1500$ V

$2.$ line$-$to$-$line stator voltage $=6000$ V

$3.$ no$-$load stator current, per phase $=88$ A

$4.$ active power supplied to motor at no$-$load $=97$ kW

$5.$ windage and friction losses $=48$ kW

$6.$ iron losses in the stator $=45$ kW

$7.$ locked$-$rotor current at $6000$ V $=1750$ A

$8.$ active power to stator with rotor locked $=2409$ kW

$9.$ dc resistance between stator terminals $=72\mathrm{.}3$ m$$

$10.$ dc resistance between rotor slip$-$rings $=0\mathrm{.}0089$

Calculate:

$(9)$ The slip at rated load

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

$(10)$ What are the approximate rotor I$2$R losses at rated load?

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ kW$.$

$(11)$ I$2$R losses in the stator when the motor runs at no$-$load

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ W$.$

$(12)$ Reactive power absorbed by the motor to create the

revolving field, at no$-$load

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ kVARS

$(13)$ Active power supplied to the rotor at no$-$load

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ kW$.$

$(14)$ Voltage induced in the rotor at rated load

$\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$ V$.$