First slide

Phasors and Phasor Diagrams

Question

In the shown AC circuit, the rms value of supply voltage is 130 volt. v₁ and v₂ are AC voltmeters. If reading of v₁ is 120 volt, reading of v₂ is

Moderate

A

20 volt
B

$50 \sqrt{2}$ volt
C

50 volt
D

$3 \sqrt{2}$ volt

Solution

$v_{1}^{2} + v_{2}^{2} = v^{2}$
$\Rightarrow V_{2} = \sqrt{130^{2} - 120^{2}} volt = 50 volt$

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