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 ______ $ imes10^4$ 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 ______ $	imes10^4$ radians $\mathrm s^{-1}$.

Dr. Abubacker · Accepted Answer

[Solution by Dr. Abubacker] Maximum current occurs at resonance: $\omega=\frac1{\sqrt{LC}}=\frac1{\sqrt{0.1	imes25	imes10^{-9}}}=\frac1{5	imes10^{-5}}=2	imes10^4$ rad/s. Answer: 2.

Q. 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 ______ $\times10^4$ radians $\mathrm s^{-1}$.

Explanation

Reviewed by Dr. Abubacker

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