A charged 200- $\mu$ F capacitor is connected to a 100-mH inductor to form an LC oscillator. The voltage across the inductor oscillates at
A) 210 Hz.
B) 120 Hz.
C) 36 Hz.
D) 82 Hz.

Question

Quizplus · Accepted Answer

The frequency of oscillation $f$ in an LC circuit is given by $f = \frac{1}{2\pi\sqrt{LC}}$, where $L$ is the inductance in henries and $C$ is the capacitance in farads. Substituting $L = 100 \times 10^{-3} H$ and $C = 200 \times 10^{-6} F$, we get $f = \frac{1}{2\pi\sqrt{100 \times 10^{-3} \times 200 \times 10^{-6}}}$ which simplifies to approximately 36 Hz.

A Charged 200- μ\muμ F Capacitor Is Connected to a 100-MH Inductor to Form

A Charged 200- $\mu$ F Capacitor Is Connected to a 100-MH Inductor to Form