If power factor is 1-2 in a series RL circuit- R -200 - 50 Hz ac mains is used then L isA- 2 -3- HB - - HC- -3 HD- -3- H

The correct option is A 2√(3)/πH cos ϕ =1/2 ⇒ ϕ = 60^∘ tan 60^∘ =ω L/R⇒ L = 2√(3)/πH ...

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Standard XII

Physics

Capacitive Reactance

If power fact...

Question

If power factor is $\frac{1}{2}$ in a series RL circuit , $R = 200 Ω, 50 H z$ ac mains is used then L is

$\frac{2 \sqrt{3}}{π} H$

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$π H$

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$\frac{π}{\sqrt{3}} H$

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$\frac{\sqrt{3}}{π} H$

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Solution

The correct option is A
$\frac{2 \sqrt{3}}{π} H$

$c o s ϕ = \frac{1}{2} \Rightarrow ϕ = 60^{\circ} t a n 60^{\circ} = \frac{ω L}{R} \Rightarrow L = 2 \frac{\sqrt{3}}{π} H$

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If power factor is 12 in a series RL circuit , R=200 Ω, 50Hz ac mains is used then L is

The correct option is A 2√3πH cos ϕ=12 ⇒ ϕ=60∘ tan 60∘=ωLR⇒L=2√3πH

If power factor is $\frac{1}{2}$ in a series RL circuit , $R = 200 Ω, 50 H z$ ac mains is used then L is

The correct option is A
$\frac{2 \sqrt{3}}{π} H$

$c o s ϕ = \frac{1}{2} \Rightarrow ϕ = 60^{\circ} t a n 60^{\circ} = \frac{ω L}{R} \Rightarrow L = 2 \frac{\sqrt{3}}{π} H$