#### Question

In a series LCR circuit, V_{L} = V_{C} ≠ V_{R}. What is the value of power factor?

#### Solution

In an LCR series circuit, power dissipated is given by

P = I^{2}ZcosΦ

`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))`

∵ V_{L}=V_{C} and X_{L}= X_{C}

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

Is there an error in this question or solution?

Solution In a Series Lcr Circuit, Vl = Vc ≠ Vr. What is the Value of Power Factor? Concept: Ac Voltage Applied to a Series Lcr Circuit.