First slide

Phasors and Phasor Diagrams

Question

What will be the self-inductance of a coil to be connected in a series with a resistance of $π \sqrt{3} Ω$ such that the phase difference between the e.m.f. and the current at 50 Hz frequency is 30⁰?

Moderate

A

0.5 H
B

0.03 H
C

0.05 H
D

0.01 H

Solution

$tanϕ = \frac{X_{L}}{R} = \frac{2 πvL}{R}$
$\Rightarrow \tan 30^{\circ} = \frac{2 π \times 50 \times L}{π \sqrt{3}} \Rightarrow L = 0 .01 H$

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