1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# A 3-phase induction motor draws 1000 kVA at power factor of 0.8 lag. A synchronous condenser is connected in parallel to draw an additional 750 kVA at 0.6 power factor leading. Then the power factor of the total load supplied by the mains is

A
Reactive power absorbed by supply is 600 kVAR.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Reactive power delivered by supply is 600 kVAR.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Supply power factor is unity.
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
Supply power factor is 0.9 lagging.
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is C Supply power factor is unity.Complex power can be represented as, ¯¯¯¯SIM=1000×0.8+j1000×0.6=800+j600 ¯¯¯¯SSC=750×0.6−j750×0.8 =450−j600 ∴ ¯¯¯¯STotal=¯¯¯¯SIM+¯¯¯¯SSC = 800+j600+450−j600 ¯¯¯¯STotal=1250 kW Total load supplied by the mains is only real power ∴ pf=1

Suggest Corrections
2
Join BYJU'S Learning Program
Related Videos
Symmetry and Other Circuits
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program