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Question: Answered & Verified by Expert

An inductor of inductance 2 μH is connected in series with a resistance, a variable capacitor and an AC source of frequency 7 kHz. The value of capacitance for which maximum current is drawn into the circuit is 1x F, where the value of x is ______.

(Take π=227)

PhysicsAlternating CurrentJEE MainJEE Main 2023 (29 Jan Shift 2)
Solution:
2779 Upvotes Verified Answer
The correct answer is: 3872

For maximum current in series LCR circuit,

XC=XL12πfC=2πfL

C=14π2f2 L=14×π2×49×106×2×10-6

C=13872 F

Therefore, x=3872.

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