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## Homework Statement

An induction motor load of 2000 kVA has power factor 0.80 lagging. Synchronous motors totaling 500 kVA are added an operated at a leading power factor. If the overall power factor is then 0.90 lagging, what is the power factor of the synchronous motors?

## Homework Equations

i use power triangle to solve the values of powers in induction motor..

## The Attempt at a Solution

i have solve the reactive power = 1200 kvar ; p=1600 kw..

i am confuse how to use the total power factor... in need to find the real power in the synchronous motors... in order to find the power factor of the synchronous motors...