Time constant of the given circuit is t. If the battery is replaced by an ac source having voltage V = V0 cos ωt, power factor of the circuit will be

Engineering

Physics

AC Circuit Analysis

Question

Time constant of the given circuit is t. If the battery is replaced by an ac source having voltage V = V₀ cos ωt, power factor of the circuit will be

$\frac{1}{\sqrt{1 + {(ωτ)}^{2}}}$

$\sqrt{1 - {(ωτ)}^{2}}$

None

ω𝛕

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$τ = \frac{L}{R}$
Power factor $= \frac{R}{\sqrt{R^{2} (ωL)^{2}}}$
$\Rightarrow \frac{1}{\sqrt{1 + {(ω \frac{L}{R})}^{2}}} = \frac{1}{\sqrt{1 + (ωτ)^{2}}}$

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