First slide

Phasors and Phasor Diagrams

Question

In an AC circuit, a resistance of R ohm is connected in series with an inductance L. If phase angle between voltage and current is 45⁰, the value of inductive reactance will be

Moderate

A

$\frac{R}{4}$
B

$\frac{R}{2}$
C

R
D

Cannot be found with the given data

Solution

$tanϕ = \frac{X_{L}}{R} \Rightarrow \tan 45^{\circ} = \frac{X_{L}}{R} = 1 \Rightarrow X_{L} = R$

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