question_answer

In a series LCR circuit, the plot of \[{{l}_{m}}vs\,\,\omega \]is shown in the figure. The bandwidth of this plot will be:

A) zero                              

B) \[0.1\,rad\,{{s}^{-1}}\]

C) \[0.2\,rad\,{{s}^{-2}}\]            

D) \[0.4\,rad\,{{s}^{-1}}\]

Correct Answer: D

Solution :

(d) \[0.4\,rad\,{{s}^{-1}}\] Bandwidth is the frequency range at which current amplitude,             \[{{l}_{m}}=\frac{1}{\sqrt{2}}{{l}_{\max }}=0.7{{l}_{\max }}\] From figure, 8andwidth. \[\Delta \omega =1.2-0.8=0.4\text{ }rad\text{ }{{s}^{-1}}\]