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  • In a series LCR circuit, the inductance L is 10 mH, capacitance C is 1µF and resistance R is <img alt="100 \ \Omega" src="https://entrancecorner.oncodecogs.com/gif.latex?100%20%5C%20%5COmega"

In a series LCR circuit, the inductance L is 10 mH, capacitance C is 1µF and resistance R is 100 \ \Omega . The frequency at which resonance occurs is?

Option: 1

15.9 \mathrm\, \, {rad} / \mathrm{s}


Option: 2

15.9\, \, \mathrm{kHz}


Option: 3

1.59 \, \, \mathrm{rad} / \mathrm{s}


Option: 4

1.59 \, \, \mathrm{kHz}


Answers (1)

best_answer

\begin{aligned} & \mathrm{f}_{\mathrm{R}}=\frac{1}{2 \pi \sqrt{\mathrm{LC}}}=\frac{1}{2 \pi \sqrt{10 \times 10^{-3} \times 10^{-6}}} \\ & =\frac{10^4}{2 \pi} \approx 1.59 \times 10^3 \mathrm{~Hz}=1.59 \mathrm{kHz} \end{aligned}

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HARSH KANKARIA

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