In a series LCR circuit, a resistor of $300 \Omega$, a capacitor of 25 nF and an inductor of 100 mH are used. For maximum current in the circuit, the angular frequency of the ac source is _____ $ imes 10^4$ radians $\mathrm{s}^{-1}$.

Question

In a series LCR circuit, a resistor of $300 \Omega$, a capacitor of 25 nF and an inductor of 100 mH are used. For maximum current in the circuit, the angular frequency of the ac source is _____ $	imes 10^4$ radians $\mathrm{s}^{-1}$.

Aicharya · Accepted Answer

$\begin{aligned} & \omega=\frac{1}{\sqrt{\mathrm{LC}}} \ & \omega=\frac{1}{\sqrt{25 	imes 10^{-9} 	imes 100 	imes 10^{-3}}} \ & \omega=\frac{10^{+6}}{5 	imes 10}=2 	imes 10^{4}\end{aligned}$

In a series LCR circuit, a resistor of $300 \Omega$, a capacitor of 25 nF and an inductor of 100 mH are used…

Solution