$13-28$ A $3-$phase, $5000$ hp$,6000$ V$,60$ Hz $12-$ pole wound$-$rotor induction motor turns at $594$ r$/$min$.$ What are the approximate rotor I~R losses at rated load? $13-29$ The motor in Problem $13-28$ has the fol$-$ lowing characteristics: $1.$ dc resistance between stator terminals $=0\mathrm{.}112$H at $17$C $2.$ dc resistance between rotor slip$-$rings $=0\mathrm{.}007311$ at $17$C $3.$ open$-$circuit voltage induced between slip$-$ rings with rotor locked $=1600$ V $4.$ line$-$to$-$line stator voltage $=6000$ V $5.$ no$-$load stator current, per phase $=100$ A $6.$ active power supplied to motor at noload $=91$ kW $7.$ windage and friction losses $=51$ kW $8.$ iron losses in the stator $=39$ kW $9.$ locked$-$rotor current at $6000$ V $=1800$ A $10.$ active power to stator with rotor locked $=2207$ kW Calculate a$.$ Rotor and stator resistance per phase at $75$C $($assume a wye connection$)$ b$.$ Voltage and frequency induced in the rotor when it turns at $200$ r$/$min and at $594$ r$/$min c$.$ Reactive power absorbed by the motor to create the revolving field, at no$-$load d$.$ I $2$ R losses in the stator when the motor runs at no$-$load $($winding temperature $75$C$)$ e$.$ Active power supplied to the rotor at no$-$load