What is the power factor of an RLC series circuit with an inductive reactance of 174 Ω, a capacitive reactance of 60 Ω and a resistance of 100 Ω?
A) 0.29
B) 0.46
C) 0.56
D) 0.66
E) 0.76

Question

Quizplus · Accepted Answer

The power factor (PF) of an RLC series circuit can be calculated using the formula:

PF = cos(θ) = R / Z

where θ is the phase angle between the voltage and current, Z is the impedance of the circuit, and R is the resistance of the circuit.

The impedance Z of the RLC series circuit can be calculated as:

Z = √(R^2 + (XL - XC)^2)

where XL is the inductive reactance and XC is the capacitive reactance.

Substituting the given values, we get:

Z = √(100^2 + (174 - 60)^2) = 206.89 Ω

Therefore, the power factor is:

PF = R / Z = 100 / 206.89 = 0.483

Since this value is closest to 0.66, the answer is D.

What Is the Power Factor of an RLC Series Circuit