High School

A series RCL circuit contains a 39.3-Ω resistor, a 1.62-μF capacitor, and a 1.56-mH inductor. When the frequency is 2400 Hz, what is the power factor of the circuit?

A) 0.75
B) 0.86
C) 0.92
D) 0.97

Answer :

The power factor of the RLC circuit at 2400Hz is 0.92, which indicates the relationship between real power and apparent power in the circuit. The correct option is: c) 0.92

In an RLC circuit, the power factor can be calculated using the formula: Power Factor = cos(θ), where cos(θ) = R/Z. In this case, the impedance Z = √(R^2 + (XL - XC)^2), where XL is the inductive reactance and XC is the capacitive reactance.

At 2400Hz, calculate XL and XC using their respective formulas, then find the impedance Z. Finally, calculate the power factor using the formula mentioned earlier to determine that the power factor is 0.92. Therefore the correct option is: c) 0.92

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