Question

The correct formula for the angular frequency ${\omega }_0$ of an $L-C$ resonant circuit is

• A. $\frac{1}{\sqrt{LC}}$
• B. $\sqrt{LC}$
• C. $\frac{1}{2\pi \sqrt{LC}}$
• D. $\frac{1}{2\pi LC}$

Answer 1

The correct option is A $\frac{1}{\sqrt{LC}}$

Resonance occurs when

$X_L=X_C$

$\omega L=\frac{1}{\omega C}$

${\omega }^2=\frac{1}{LC}$

$\omega =\frac{1}{\sqrt{LC}}$