First slide

Phasors and Phasor Diagrams

Question

An inductive circuit contains resistance of $10 Ω$ and an inductance of 20 H. If an AC voltage of 120 V and frequency 60 Hz is applied to this circuit, the current would be nearly

Moderate

A

0.32 A
B

0.016 A
C

0.48 A
D

0.80 A

Solution

$i = \frac{V}{\sqrt{R^{2} + ω^{2} L^{2}}} = \frac{120}{\sqrt{100 + 4 π^{2} \times 60^{2} \times 20^{2}}} = 0 .016 A$

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