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A 100 \(\Omega\) resistance, a \(0.1\mu F\) capacitor and an inductor are connected in series across a \(250\mathrm{V}\)…

Q1

A 100 \(\Omega\) resistance, a \(0.1\mu F\) capacitor and an inductor are connected in series across a \(250\mathrm{V}\) supply at variable frequency. Calculate the value of inductance of the inductor at which resonance will occur. Given that the resonant frequency is \(60\mathrm{Hz}\).[JEE Main 2021, 27 Jul (Shift 2)]

a

\(7.03\times {10}^{-5}\mathrm{H}\)

b

\(70.3\mathrm{H}\)

c

\(70.3\mathrm{mH}\)

d

\(0.70\mathrm{H}\)

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