a$)$ A $150$kW$,460$V$,3-$phase $3520$r$/$min$,60$Hz induction motor has a locked$-$rotor torque of $600$N$.$m and a locked rotor current of $1400$A$.$ Three resistors are connected in series with the line to reduce the voltage across the motor to $0\mathrm{.}65$p$.$u$.$

Calculate:

i$)$ The apparent power absorbed by the motor under full$-$voltage, locked conditions.

ii$)$ The apparent power absorbed by the motor when the resistors are in the circuit.

iii$)$ The apparent power drawn from the line, with the resistors in the circuit. $$

The locked$-$rotor torque developed by the motor