Q 12-07-043JEE MainJEE Main 2025 (23 Jan, Shift 2)Easy
In a series LCR circuit, a resistor of $300\ \Omega$, a capacitor of $25\ \text{nF}$ and an inductor of $100\ \text{mH}$ are used. For maximum current in the circuit, the angular frequency of the ac source is ______ $\times10^4$ radians $\text{s}^{-1}$.
Numerical value type. Enter your answer.
Answer: 2
Maximum current occurs at resonance:
$$\omega_0 = \frac{1}{\sqrt{LC}} = \frac{1}{\sqrt{0.1\times25\times10^{-9}}} = \frac{1}{\sqrt{2.5\times10^{-9}}} = \frac{1}{5\times10^{-5}} = 2\times10^4\ \text{rad/s}$$
Solution by Sreeraj P, M.Sc Physics