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The series combination of R, L, C is connected to an a.c. source. If the resistance is 3 and the reactance is 4, the power factor of the circuit is: -

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Question

The series combination of R, L, C is connected to an a.c. source. If the resistance is 3 and the reactance is 4, the power factor of the circuit is:

Options

  • 0.4

  • 0.6

  • 0.8

  • 1.0

MCQ

Solution

0.6

Explanation:

R = 3r and x = `4sqrt(2)`

z = `sqrt(R^2 xx X^2) = sqrt(3^2 + 4^2)` = 5

Power factor = `cos phi = R/Z = 3/5` = 0.6

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