## Related questions with answers

Question

Compute the quality factor for the circuits described in Problems Which circuit has the sharper resonance?

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 3### Knowns,&,Concept

Natural frequency of the $RLC$ circuit is (equation $\textbf{33.35}$):

$\begin{align*} \omega_0=\dfrac{1}{\sqrt{LC}} \end{align*}$

Quality factor is, according to the equation $\textbf{33.38}$:

$\begin{align} Q&=\dfrac{\omega_0 L}{R}\\ Q&=\dfrac{L}{\sqrt{LC}R}\\ Q&=\dfrac{1}{R}\sqrt{\dfrac{L}{C}} \end{align}$

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