An LCR circuit as shown in the figure is connected to a voltage source $\mathrm{V}_{\mathrm{ac}}$ whose…

An LCR circuit as shown in the figure is connected to a voltage source $\mathrm{V}_{\mathrm{ac}}$ whose frequency can be varied.
The frequency, at which the voltage across the resistor is maximum, is :
  1. $902 \mathrm{~Hz}$
  2. $143 \mathrm{~Hz}$
  3. $23 \mathrm{~Hz}$
  4. $345 \mathrm{~Hz}$

Solution

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

Asked in: JEE Main 2013 (22 Apr Online)

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