First slide

Phasors and Phasor Diagrams

Question

A220 V 50 Hz AC generator is connected to an inductor and a $50 Ω$ resistance in series. The current in the circuit is 1.0 A. What is the potential difference across inductor?

Moderate

A

102.2 V
B

186.4 V
C

214.24 V
D

302 V

Solution

$I = \frac{E}{Z} \Rightarrow 1 = \frac{220}{Z} \Rightarrow Z = 220 Ω$
$V_{R} = 50 \times 1 V o l t N o w V^{2} = {V_{R}}^{2} + {V_{L}}^{2} \Rightarrow V_{L} = \sqrt{220^{2} - 50^{2}} v o l t = 214.24 v o l t$

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