P4) An industrial factory is connected to a 400-V and 50-Hz power supply. The electrical loads in the factory are divided in three large groups. Load-1 has a current of I = 200 A with power factor of 0.6 lagging; Load-2 has an apparent power of 60 + j80 kVA; and Load-3 has a total impedance of 1.5 + j0.8 2. a) Determine the total apparent power of the factory and present in both rectangular and polar forms. b) A synchronous motor is added in this factory to raise the power factor to 0.9 lagging. If the synchronous motor takes 40 kW, determine the power factor and the kVA rating of the synchronous motor.

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P4) An industrial factory is connected to a 400-V and 50-Hz power supply. The electrical loads in the
factory are divided in three large groups. Load-1 has a current of I
= 200 A with power factor of 0.6
lagging; Load-2 has an apparent power of 60 + j80 kVA; and Load-3 has a total impedance of 1.5 + j0.8 Q.
a) Determine the total apparent power of the factory and present in both rectangular and polar
forms.
b) A synchronous motor is added in this factory to raise the power factor to 0.9 lagging. If the
synchronous motor takes 40 kW, determine the power factor and the kVA rating of the
synchronous motor.
Transcribed Image Text:P4) An industrial factory is connected to a 400-V and 50-Hz power supply. The electrical loads in the factory are divided in three large groups. Load-1 has a current of I = 200 A with power factor of 0.6 lagging; Load-2 has an apparent power of 60 + j80 kVA; and Load-3 has a total impedance of 1.5 + j0.8 Q. a) Determine the total apparent power of the factory and present in both rectangular and polar forms. b) A synchronous motor is added in this factory to raise the power factor to 0.9 lagging. If the synchronous motor takes 40 kW, determine the power factor and the kVA rating of the synchronous motor.
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