Problems
1. A four pole, 2 HP, 220 V, 60 Hz, 3-phase induction motor has a delta connected stator and a wye-connected rotor. The
ratio is 4:1. At full-load, the slip is 2.5%. If the rotor resistance per phase and the blocked-rotor reactance per phase are
0.3 ohm and 1 ohm respectively, calculate;
a. the rotor current per phase
b. the rotor power input at full-load
c. the rotor copper loss at full load
d. the rotor power developed at full load
e. the rotor torque developed
2. A four pole, 20 hp, 220 V, 3-phase induction motor has a starting torque of 350 lb-ft and an instantaneous starting line
current of 750 A when started at rated voltage. If a reduced voltage of 130 V is applied to its terminals, calculate;
a. the starting torque
b. the starting current
3. A 400 V, 60 Hz, 6-poles wye-connected, 3-phase induction motor draws 75 kW with a line current of 100 A. The core
loss is 2 kW; Friction and windage loss is 1.2 kW. The stator’s resistance between two terminals is 0.35 ohms. What is
the efficiency if the motor runs at a slip of 2.5%?
4. A 10 hp, 60 Hz, 4-pole, wye-connected, 3-phase induction motor at normal operation draws power from the 220 V
source of 7.5 kW at 22 A, when the slip is 2.5%. At no load-test, the power drawn is 600 W and the line current is 7 A.
When the blocked-rotor test was performed the power and the current drawn were 550 W and 15 A respectively.
Calculate the efficiency and the torque in lb-ft at the normal operation.