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In a Series Lcr Circuit, Vl = Vc ≠ Vr. What is the Value of Power Factor? - Physics

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In a series LCR circuit, VL = VC ≠ VR. What is the value of power factor?

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Solution

In an LCR series circuit, power dissipated is given by

P = I2ZcosΦ

`P/(I^2sqrt(R^2+(X_C-X_L)^2))=cosphi`

The quantity cosΦ is the power factor.

`cosphi=P/(I^2sqrt(R^2+(X_C-X_L)^2))`

∵ VL=VC and XL= XC

`:.cosphi=P/(I^2R)`

Concept: Ac Voltage Applied to a Series Lcr Circuit
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