JEE Main On 08 April 2018 Question 13

Question: For an RLC circuit driven with voltage of amplitude $ {v_m} $ and frequency $ {\omega_0}\text{=}\frac{1}{\sqrt{LC}} $ the current exhibits resonance. The quality factor, Q is given by : [JEE Main Online 08-04-2018]

Options:

A) $ \frac{R}{({\omega_o}C)} $

B) $ \frac{CR}{{\omega_o}} $

C) $ \frac{{\omega_o}L}{R} $

D) $ \frac{{\omega_o}R}{L} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Q-factor of series R-L-C circuit $ =\frac{x _{L}}{R}=( \frac{{\omega_0}L}{R} ) $ Where $ X _{L} $ is inductive reactance.