Answer Posted / nandu

this is approximation:
As we know that power factor can,t be grater than 1 and we
also know that our supply voltage variation is -10% to +10%
we can't take +10% because pf<=1
so -10% of 230 is v(10%)=207v
as we already know that pf=p/vi
=> i=p/v(10%) =100/207A
=> pf=100/230(100/207)=207/230=0.9

so power factor is (approximate) = 0.9

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