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Q.

A circuit shown consists of three resistors, one capacitor, 2 ideal AC voltmeters and alternating voltage source of angular frequency ω. Take  RωC=1. If the reading of  V1 is V, then the reading of  V2 is 

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a

V372

b

V352

c

V2

d

5V2

answer is B.

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Detailed Solution

Let voltage phasors along be  PA,AE  be x, 2x
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And voltage phasors along QB, BF be y, y. (as  R=1ωC).
The phasors diagram representing them can be drawn as shown
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So phasor length AB (i.e; reading of  V2 ) is= x2+y22xycos45°(using cosine rule in ΔPAB)
Also  x+2x=V and  2y=V
 Reading of  V2=V352

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A circuit shown consists of three resistors, one capacitor, 2 ideal AC voltmeters and alternating voltage source of angular frequency ω. Take  RωC=1. If the reading of  V1 is V, then the reading of  V2 is