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Question 21

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

$$f = \frac{1}{2\pi\sqrt{LC}}$$ (Resonant Frequency)

$$f = \frac{1}{2 \times \pi \times \sqrt{24 \times 2 \times 10^{-6}}}$$

$$f = \frac{1}{2\pi \times \sqrt{48} \times 10^{-3}}$$

$$f \approx \frac{1000}{2 \times 3.14159 \times 6.928}$$

$$f \approx \frac{1000}{43.53}$$

$$f \approx 22.97 \text{ Hz}$$

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