Two induction motors are connected in parallel and take the following loads from an a.c.supply:2kW at a power factor of 0.8 lagging, 5kW at a power factor of 0.6 lagging.Calculate the true power,the reactive power,the apparent power and the power factor.

 

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The total true power (P) is the sum of the two motors true powers.

The total reactive power (Q) is the sum of the two motors reactive powers.

The apparent power is not the sum of the two apparent powers. Use this formula:

S=sqrt[(P^2)+(Q^2)]

PF=cos{arctan(total Q/total P)}