A 100 Ω resistance, a 0 . 1 μ F capacitor and an inductor are connected in series across a 250…

A 100Ω resistance, a 0.1μF capacitor and an inductor are connected in series across a 250 V supply at variable frequency. Calculate the value of inductance of inductor at which resonance will occur. Given that the resonant frequency is 60 Hz.
  1. 0.70H
  2. 70.3mH
  3. 7.03×10-5H
  4. 70.3 H

Solution

C=0.1μF=10-7 F

Resonant frequency =60 Hz

ωo=1LC

2πf0=1LC⇒L=14π2f02C

by putting values L≃70.3 Hz.

Asked in: JEE Main 2021 (27 Jul Shift 2)

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