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Question: Answered & Verified by Expert
The quality factor of $L C R$ circuit having resistance $(R)$ and inductance $(L)$ at resonance frequency $(\omega)$ is given by
PhysicsAlternating CurrentJEE Main
Options:
  • A $\frac{\omega L}{R}$
  • B $\frac{R}{\omega L}$
  • C $\left(\frac{\omega L}{R}\right)^{1 / 2}$
  • D $\left(\frac{\omega L}{R}\right)^2$
Solution:
1570 Upvotes Verified Answer
The correct answer is: $\frac{\omega L}{R}$
As we know,
Quality factor $Q=\frac{V_L}{V_R}=\frac{X_L}{R}$
since, $X_L=\omega L$ then,
$Q=\frac{\omega L}{R}$

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