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Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACQuality and Power factorMedium2 minPYQ_2021

PhysicsMediumsingle choice

In a series LCR circuit, the inductive reactance $(X_{L})$ is $10 Ω$ and the capacitive reactance $(X_{C})$ is $4 Ω$ . The resistance $(R)$ in the circuit is $6 Ω$ . The power factor of the circuit is :

Options:

Answer:

Solution:

We know that power factor is $\cos ϕ$ ,

$\cos ϕ = \frac{R}{Z} . . . (1)$

$Z = \sqrt{R^{2} + {(X_{L} - X_{C})}^{2}} . . . (2)$

$\Rightarrow Z = \sqrt{6^{2} + (10 - 4)^{2}}$

$\Rightarrow Z = 6 \sqrt{2} ∣ \cos ϕ = \frac{6}{6 \sqrt{2}}$

$\cos ϕ = \frac{1}{\sqrt{2}}$

Stream:JEESubject:PhysicsTopic:EMI/ACSubtopic:Quality and Power factor

⏱ 2mℹ️ Source: PYQ_2021

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