NEET Physics AC Voltage MCQ Question with Solution

In a series LCR circuit with L = 3.0 H, C = 27 μF, and R = 7.4 Ω, connected to an AC source, what is the resonant frequency where the impedance of the circuit is minimized?

A

17.84 Hz

B

18.32 Hz

C

19.54 Hz

D

20.67 Hz

Correct Answer

Option A

Detailed Explanation

The resonant frequency $f_0$ of a series LCR circuit is given by $f_0 = \frac{1}{2\pi\sqrt{LC}}$ . Substituting L = 3.0 H and C = 27 μF, we get $f_0 = \frac{1}{2\pi\sqrt{3.0 \times 27 \times 10^{-6}}} = 17.84$ Hz.

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