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

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

#### 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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