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Byju's Answer

Standard XII

Physics

Resonance in RLC Circuit

In the given ...

Question

In the given figure, which voltmeter will read zero voltage at resonant frequency $ω$ rad/sec?

V_{1}

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V_{2}

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V_{3}

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V_{4}

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Solution

The correct option is D $V_{4}$
At Resonant frequency,
$X_{L} = X_{C}$
multiply both sides by $I_{r m s}$ ,
$V_{L (r m s)} = V_{C (r m s)}$ (numerically)
Since we know,
Voltmeter reads rms voltage.
Potential difference across $V_{4} = \sqrt{V_{L (r m s)}^{2} - V_{C (r m s)}^{2}}$ (as $V_{L}$ and $V_{C}$ are $π$ radian out of phase).
Hence, Potential difference across $V_{4} = 0$

Option $D$ is the correct answer.

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