In a factory, a three-phase, 4-kV, 400-kVA synchronous machine is installed along with other induction motors. The following are the loads on the machine:(i) Induction motors: 500 kVA at 0.8 power factor lagging(ii) Synchronous motor: 300 kVA at unity power factorDetermine the overall power factor of the factory loads.

\(\frac{7}{\sqrt{58}}\) leading

\(\frac{7}{\sqrt{58}}\) lagging

\(\frac{9}{\sqrt{58}}\) leading

\(\frac{9}{\sqrt{58}}\) lagging

In a factory, a three-phase, 4-kV, 400-kVA synchronous machine is inst

1.	In a factory, a three-phase, 4-kV, 400-kVA synchronous machine is installed along with other induction motors. The following are the loads on the machine:(i) Induction motors: 500 kVA at 0.8 power factor lagging(ii) Synchronous motor: 300 kVA at unity power factorDetermine the overall power factor of the factory loads.
A.	\(\frac{7}{\sqrt{58}}\) lagging
B.	\(\frac{7}{\sqrt{58}}\) leading
C.	\(\frac{9}{\sqrt{58}}\) leading
D.	\(\frac{9}{\sqrt{58}}\) lagging
Answer» B. \(\frac{7}{\sqrt{58}}\) leading