Alternating Current

JEE Main level, single correct, medium

148 of 190

Question 148 of 190

An LCR circuit as shown in the figure is connected to a voltage source Vac\mathrm{V}_{\mathrm{ac}} whose frequency can be varied.


The frequency, at which the voltage across the resistor is maximum, is :

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Answer: (C) 23 Hz23 \mathrm{~Hz}

Frequency f=12πLC\mathrm{f}=\frac{1}{2 \pi \sqrt{\mathrm{LC}}}
=12×3.424×2×10−6≃23 Hz\begin{aligned} & =\frac{1}{2 \times 3.4 \sqrt{24 \times 2 \times 10^{-6}}} \\ & \simeq 23 \mathrm{~Hz} \end{aligned}

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