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Question: Answered & Verified by Expert
An LCR series circuit of capacitance 62.5 nF and resistance of 50 Ω, is connected to an A.C. source of frequency 2.0 kHz. For maximum value of amplitude of current in circuit, the value of inductance is ____mH.(Take π2=10
PhysicsAlternating CurrentJEE MainJEE Main 2023 (25 Jan Shift 1)
Solution:
1403 Upvotes Verified Answer
The correct answer is: 100

Given here, f=2 kHz=2000 Hz, C=62.5 nF=62.5×10-9 F and R=50 Ω

Resonance frequency (amplitude of the current will be maximum in this case) is given by f=12πLC, here, L is the inductance.

Putting the values, 

2000 Hz=12πL×62.5×10-9

L=14π2×20002×62.5×10-9=0.1 H=100 mH

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