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Question

In the given figure, which voltmeter will read zero voltage at resonant frequency ω rad/sec?
1013615_eb647504377843a2a8a7414b24eb6f51.png

A
V1
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B
V2
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C
V3
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D
V4
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Solution

The correct option is D V4
At Resonant frequency,
XL=XC
multiply both sides by Irms,
VL(rms)=VC(rms) (numerically)
Since we know,
Voltmeter reads rms voltage.
Potential difference across V4=V2L(rms)V2C(rms) (as VL and VC are π radian out of phase).
Hence, Potential difference across V4=0

Option D is the correct answer.

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