In a series RLC circuit, the quality factor Q is defined as the ratio of resonant frequency to bandwidth. If R = 10,Omega, L = 100,text mH , and C = 10,mutext F , what is the Q-factor?

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Electrical Engineering QUESTION #2155

Question 1

In a series RLC circuit, the quality factor $Q$ is defined as the ratio of resonant frequency to bandwidth. If $R = 10\,\Omega$, $L = 100\,\text{mH}$, and $C = 10\,\mu\text{F}$, what is the Q-factor?

$Q = 10$✔️
$Q = \sqrt{10}$
$Q = 1$
$Q = 0.1$

Correct Answer Explanation

Resonant frequency $\omega_0 = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{0.1 \times 10^{-5}}} = 1000\,\text{rad/s}$. $Q = \frac{\omega_0 L}{R} = \frac{1000 \times 0.1}{10} = 10$.

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