2026 Alternating CurrentResonance frequency of a series LCR circuit Medium Question 1 of 60 in Alternating Current

An ac circuit contains a resistance of 1 k$\Omega$, a capacitor of 0.1 $\mu F$ and an inductor of 1 mH connected in series. The resonance frequency of the circuit is approximately:

A 10.1 kHz
B 20.7 kHz
C 15.9 kHz
D 13.5 kHz

The answer is C.

Solution

$f_r = \frac{1}{2\pi\sqrt{LC}} = \frac{1}{2\pi\sqrt{10^{-3} \times 0.1 \times 10^{-6}}}$ $= \frac{100}{6.28} \times 10^3$ $f_r \approx 15.9$ kHz

Alternating Current in past papers

60 questions from this chapter have appeared across 24 exam years.