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  4. An inductor of 0.5 mH, a capacitor of 20 μ F and resistance of 20 Ω are connected in series with a 220 V ac source. If the current is in phase with the emf, the amplitude of current of the circuit is √x A. The value of x is -

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Q. An inductor of $0.5\, mH$, a capacitor of $20\, \mu F$ and resistance of $20 \, \Omega$ are connected in series with a $220 \, V$ ac source. If the current is in phase with the emf, the amplitude of current of the circuit is $\sqrt{x}$ A. The value of $x$ is -

JEE MainJEE Main 2023Alternating Current

Solution:

$X_L=X_C$
So, $Z=R=20 \Omega$
$ i _{ rms }=\frac{220}{20}=11 $
$ i _{\max }=11 \sqrt{2}=\sqrt{242}$