Question

In $LCR$ circuit current resonant frequency is $600Hz$ and half power points are at $650$ and $550Hz$. The quality factor is

• A. $\frac{1}{6}$
• B. $\frac{1}{3}$
• C. $6$
• D. $3$

Answer 1

The correct option is C $6$

${\omega }_o$ is resonant frequency.
${\omega }_1$ and ${\omega }_2$are half power points frequencies.
So quality factor $Q=\frac{{\omega }_o}{{\omega }_2-{\omega }_1}=\frac{600}{650-550}=6$