1. Tardigrade
  2. Question
  3. Physics
  4. The frequencies at which the current amplitude in an LCR series circuit becomes (1/√2) times its maximum value, are 212 rad s -1 and 232 rad s -1. The value of resistance in the circuit is R =5 Ω. The self inductance in the circuit is mH.

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Q. The frequencies at which the current amplitude in an LCR series circuit becomes $\frac{1}{\sqrt{2}}$ times its maximum value, are $212\, rad \,s ^{-1}$ and $232\, rad\,s ^{-1}$. The value of resistance in the circuit is $R =5 \Omega$. The self inductance in the circuit is____ $mH$.

JEE MainJEE Main 2022Alternating Current

Solution:

Band width $=232-212=\frac{ R }{ L } $
$ \therefore L =\frac{5}{20}=250 \,mH $