What is the resonant frequency of a 1.0 μF capacitor and a 15 mH inductor in series?
A) 15 kHz
B) 1.3 kHz
C) 0.87 kHz
D) 57 kHz

Question

Quizplus · Accepted Answer

The resonant frequency $f$ of a series LC circuit is given by the formula $f = \frac{1}{2\pi\sqrt{LC}}$, where $L$ is the inductance in henries (H) and $C$ is the capacitance in farads (F). Plugging in the values $L = 15 \times 10^{-3}$ H and $C = 1.0 \times 10^{-6}$ F, we get $f = \frac{1}{2\pi\sqrt{15 \times 10^{-3} \times 1.0 \times 10^{-6}}}$ which calculates to approximately 1.3 kHz.

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