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  4. A series LCR circuit is designed to resonate at an angular frequency ω0=105 rad / s. The circuit draws 16 W power from 120 V source at resonance. The value of resistance 'R' in the circuit is Ω.

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Q. A series LCR circuit is designed to resonate at an angular frequency $\omega_{0}=10^{5} rad / s$. The circuit draws $16 W$ power from $120 V$ source at resonance. The value of resistance 'R' in the circuit is ________$\Omega.$

JEE MainJEE Main 2021Alternating Current

Solution:

At resonance
$P =\frac{ V ^{2}}{ R }$
$R =\frac{ V ^{2}}{ P } =\frac{(120)^{2}}{16}$
$=900 \Omega$