Question

If ${\omega }_t$ and ${\omega }_2$ are half power frequencies of a series $LCR$ circuit, then resonant frequency $\omega$, can be expressed as :

• A. ${\omega }_r=\frac{{\omega }_1+{\omega }_2}{2}$
• B. ${\omega }_r=\sqrt{{\omega }_1{\omega }_2}$
• C. ${\omega }_r=\sqrt{\frac{{\omega }_1^2+{\omega }_2^2}{2}}$
• D. ${\omega }_r=\frac{{\omega }_1{\omega }_2}{{\omega }_1+{\omega }_2}$

Answer 1

The correct option is B ${\omega }_r=\sqrt{{\omega }_1{\omega }_2}$