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The potential differences across the res...

The potential differences across the resistance, capacitance and inductance are `80 V, 40 V` and `100 V` respectively in an `L-C-R` circuit. The power factor of this circuit is

A

0.4

B

0.5

C

0.8

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Power factor of the L-C-R circuit
`cosphi = R/Z = (IR)/(IZ) = (80)/(sqrt((X_(L)-X_(C))^(2)+R^(2)))=80/sqrt((IX_(L)-IX_(C))^(2)+(IR)^(2))`
`80/((100-40)^(2)+(80)^(2))=80/100 = 0.8`
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