The frequencies at which the current amplitude in an LCR series circuit becomes 1 2 times its maximum value,…

The frequencies at which the current amplitude in an LCR series circuit becomes 12 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.

Solution

Bandwidth of RLC circuit is BW=f2-f1=R2πL

Or, BW=ω2-ω1=RL

BW=232-212=RL

Thus, self inductance in the circuit is L=520=250 mH

Asked in: JEE Main 2022 (28 Jul Shift 1)

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