For the series LCR circuit shown in the figur | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The resonance angular frequency $\omega$ is given by the formula: $\omega = \frac{1}{\sqrt{LC}}$.Given $L = 8 \, mH = 8 	imes 10^{-3} \, H$ and $

Vedclass · Accepted Answer

$2500 \, rad/s$,$5\sqrt{2} \, A$

Vedclass · Answer

(A) The resonance angular frequency $\omega$ is given by the formula: $\omega = \frac{1}{\sqrt{LC}}$.Given $L = 8 \, mH = 8 	imes 10^{-3} \, H$ and $C = 20 \, \mu F = 20 	imes 10^{-6} \, F$.Substituting these values: $\omega = \frac{1}{\sqrt{8 	imes 10^{-3} 	imes 20 	imes 10^{-6}}} = \frac{1}{\sqrt{160 	imes 10^{-9}}} = \frac{1}{\sqrt{16 	imes 10^{-8}}} = \frac{1}{4 	imes 10^{-4}} = 2500 \, rad/s$.At resonance,the impedance $Z = R = 44 \, \Omega$.The $RMS$ current $I_{rms} = \frac{V_{rms}}{R} = \frac{220}{44} = 5 \, A$.The amplitude of the current (peak current) $I_0 = I_{rms} \sqrt{2} = 5\sqrt{2} \, A$.

For the series $LCR$ circuit shown in the figure,what is the resonance angular frequency and the amplitude of the current at the resonating frequency? The source voltage is given as $220 \, V$ ($RMS$ value).

Similar Questions

An $AC$ circuit contains a resistance of $1 \text{ k}\Omega$, a capacitor of $0.1 \mu\text{F}$, and an inductor of $1 \text{ mH}$ connected in series. The resonance frequency of the circuit is approximately: (in $kHz$)

In a series $LCR$ circuit,what will be the nature of the circuit for frequencies higher than the resonant frequency?

An $LCR$ series circuit is connected to an external $emf$,$e = 200 \sin(100 \pi t) \ V$. The values of capacitance and resistance in the circuit are $1 \ \mu F$ and $100 \ \Omega$ respectively. The amplitude of current in the circuit is maximum when the inductance is (in henry):

In an $LCR$ series circuit,$C = 2 \mu F$,$L = 1 \ mH$,and $R = 10 \ \Omega$. When the current in the circuit is maximum,what is the ratio of the energy stored in the capacitor to the energy stored in the inductor?

Which of the following combinations should be selected for better tuning of an $L-C-R$ circuit used for communication?

Vedclass Test Series

Exam Paper Generator

Online Exam Module