Question

The resonant frequency in an anti resonant circuit is :

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

Answer 1

The correct option is A $\frac{1}{2\pi \sqrt{LC}}$

For resonance

$X_L=X_C$

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

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

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

$2\pi f=\frac{1}{\sqrt{LC}}$

$f=\frac{1}{2\pi \sqrt{LC}}$