A series LCR circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is π3 . If instead C is removed from the circuit, the phase difference is again π3 between current and voltage. The power factor of the circuit is :

tan⁡θ=XcR=3Xc=3Rtan⁡θ=XLR=3Xc=3RXL=Xc= Given Circuit is LCR resonate circuit power factor cos⁡θ=RZ=RX2−Xc2+R2=1

A series LCR circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is π3 . If instead C is removed from the circuit, the phase difference is again π3 between current and voltage. The power factor of the circuit is :

tan⁡θ=XcR=3Xc=3Rtan⁡θ=XLR=3Xc=3RXL=Xc= Given Circuit is LCR resonate circuit power factor cos⁡θ=RZ=RX2−Xc2+R2=1

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A series LCR circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is $\frac{π}{3}$ . If instead C is removed from the circuit, the phase difference is again $\frac{π}{3}$ between current and voltage. The power factor of the circuit is :

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$\begin{array}{l} \tan θ = \frac{X_{c}}{R} = \sqrt{3} \\ X_{c} = \sqrt{3} R \\ \tan θ = \frac{X_{L}}{R} = \sqrt{3} \\ X_{c} = \sqrt{3} R \\ X_{L} = X_{c} = Given \end{array}$

Circuit is LCR resonate circuit

$power factor \cos θ = \frac{R}{Z} = \frac{R}{\sqrt{{(X_{2} - X_{c})}^{2} + R^{2}}} = 1$

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A series LCR circuit is connected to an ac voltage source. When L is removed from the circuit, the phase difference between current and voltage is π3 . If instead C is removed from the circuit, the phase difference is again π3 between current and voltage. The power factor of the circuit is :

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