Q 12-07-036JEE MainJEE Main 2026 (5 Apr, Shift 2)Easy
A series LCR circuit with $R = 20\ \Omega$, $L = 1.6$ H and $C = 40\,\mu$F is connected to a variable frequency a.c. source. The inductive reactance at resonant frequency is ______ $\Omega$.
Numerical value type. Enter your answer.
Answer: 200
Concept. Resonance: $\omega_0=\dfrac{1}{\sqrt{LC}}$, where $X_L=X_C$.
Step 1. $\omega_0$. $\dfrac{1}{\sqrt{1.6\times4\times10^{-5}}}=125$ rad/s.
Step 2. $X_L$. $125\times1.6=200\ \Omega$.
Answer. $200$.
Solution by Sreeraj P, M.Sc Physics
