Target Exam

CUET

Subject

Physics

Chapter

Alternating Current

Question:

For an RLC circuit driven with voltage of amplitude $v_m$ and frequency $ω_0=\frac{1}{\sqrt{LC}}$ the current exhibits resonance. The quality factor, Q is given by:

Options:

$\frac{R}{ω_0C}$

$\frac{CR}{ω_0}$

$\frac{ω_0L}{R}$

$\frac{ω_0R}{L}$

Correct Answer:

$\frac{ω_0L}{R}$

Explanation:

Quality factor $Q = \frac{1}{R} \sqrt{\frac{L}{C}}$

$\omega^2 = \frac{1}{LC}$

$\Rightarrow C = \frac{1}{\omega^2L}$

$\Rightarrow Q= \frac{\omega L}{R}$