Q 12-07-117JEE MainJEE Main 2021 (24 Feb, Shift 2)Easy
A series LCR circuit is designed to resonate at an angular frequency $\omega_0 = 10^5\ \text{rad s}^{-1}$. The circuit draws 16 W power from 120 V source at resonance. The value of resistance $R$ in the circuit is ______ $\Omega$.
Numerical value type. Enter your answer.
Answer: 900
At resonance the impedance is $R$: $P = \dfrac{V^2}{R} \Rightarrow R = \dfrac{120^2}{16} = 900\ \Omega$.
Solution by Sreeraj P, M.Sc Physics