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JEE Main 202126 FebruaryMorning Shift
Exam
JEE Main
Year
2021
Date
26 February
Shift
Morning Shift
Subject
Physics
Chapter
Alternating Current

JEE Main 2021 · 26 February · Morning Shift · Physics · Alternating Current

In a series LCR resonant circuit, the quality factor is measured as...

In a series LCR resonant circuit, the quality factor is measured as 100100. If the inductance is increased by two fold and resistance is decreased by two fold, then the quality factor after this change will be _______

Correct answer

0

Step-by-step solution

Q=XLR=\omegaLR=1LCLR=LRCQ = \dfrac{{X}_{L}}{R} = \dfrac{\omegaL}{R} = \dfrac{1}{\sqrt{LC}}\dfrac{L}{R} = \dfrac{\sqrt{L}}{R\sqrt{C}}

Q′=2L(R2)C=22Q=22(100){Q}^{'} = \dfrac{\sqrt{2L}}{\left(\dfrac{R}{2}\right)\sqrt{C}} = 2\sqrt{2}Q = 2\sqrt{2}\left(100\right)

=282.84= 282 . 84

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