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Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACQuality and Power factorEasy2 minPYQ_2020

PhysicsEasysingle choice

Time constant of the given circuit is $τ$ . If the battery is replaced by an ac source having voltage $V = V_{0} \cos ω t$ , power factor of the circuit will be

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Answer:

Solution:

For DC LR circuit, time constant is given by,
$τ = L / R$
For AC LR circuit, power factor is given by,

$\cos ϕ = \frac{R}{\sqrt{R^{2} + ω^{2} L^{2}}} = \frac{1}{\sqrt{1 + ω^{2} \frac{L^{2}}{R^{2}}}} = \frac{1}{\sqrt{1 + ω^{2} τ^{2}}}$

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

⏱ 2mℹ️ Source: PYQ_2020

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