If power factor is 1 2 in a series RL circuit R = 100 Ω . AC mains is used then L is Options: A . &nbsp√3π Henry B . &nbspπ Henry C . &nbspπ√3 Henry D . &nbspNone of these

Answer: Option A : A c o s ϕ = 1 2 ⇒ ϕ = 60 ∘ , t a n 60 ∘ = ω L R ⇒ L = √ 3 π H

If power factor is 12 in a series RL circuit R = 100Ω. AC mains is used th

Question

If power factor is

\frac{1}{2}

in a series RL circuit R = 100

Ω

. AC mains is used then L is

Options:

A . √3π Henry

B . π Henry

C . π√3 Henry

D . None of these

Answer: Option A
:
A

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

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