In a series RL circuit, the RMS voltage across the resistor is equal to the RMS voltage across the inductor. What is the power factor of the circuit?
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Question

In a series RL circuit, the RMS voltage across the resistor is equal to the RMS voltage across the inductor. What is the power factor of the circuit?

G1 Physics · Accepted Answer

Vᵣ = Vʟ implies IR = IXʟ, so R = Xʟ. Therefore Z = R√2 and power factor = R/Z = 1/√2.