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JEE Main 201322 AprilOnline
Exam
JEE Main
Year
2013
Date
22 April
Mode
Online
Subject
Physics
Chapter
Alternating Current

JEE Main 2013 · 22 April · Online · Physics · Alternating Current

An LCR circuit as shown in the figure is connected to a voltage...

An LCR circuit as shown in the figure is connected to a voltage source Vac\mathrm{V}_{\mathrm{ac}} whose frequency can be varied. An LCR circuit as shown in the figure is connected to a voltage source V_ ac whose frequency can be varied. The
The frequency, at which the voltage across the resistor is maximum, is :

Options

  1. A902 Hz902 \mathrm{~Hz}
  2. B143 Hz143 \mathrm{~Hz}
  3. C23 Hz23 \mathrm{~Hz}
  4. D345 Hz345 \mathrm{~Hz}

Correct answer

C. 23 Hz23 \mathrm{~Hz}

Step-by-step solution

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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