In a series resonant LCR circuit,the voltage | vedclass

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

Question

(D) In a series $LCR$ circuit,the current $I$ flowing through the circuit is given by $I = \frac{V_R}{R}$.Given $V_R = 100 \ V$ and $R = 1 \ k\Omega =

Vedclass · Accepted Answer

$250 \ V$

Vedclass · Answer

(D) In a series $LCR$ circuit,the current $I$ flowing through the circuit is given by $I = \frac{V_R}{R}$.Given $V_R = 100 \ V$ and $R = 1 \ k\Omega = 1000 \ \Omega$,we have $I = \frac{100}{1000} = 0.1 \ A$.At resonance,the inductive reactance $X_L$ is equal to the capacitive reactance $X_C$,where $X_C = \frac{1}{\omega C}$.Given $\omega = 200 \ rad/s$ and $C = 2 \ \mu F = 2 	imes 10^{-6} \ F$,we calculate $X_L = X_C = \frac{1}{200 	imes 2 	imes 10^{-6}} = \frac{1}{400 	imes 10^{-6}} = \frac{10^6}{400} = 2500 \ \Omega$.The voltage across the inductor $L$ is given by $V_L = I X_L$.Substituting the values,$V_L = 0.1 	imes 2500 = 250 \ V$.

In a series resonant $LCR$ circuit,the voltage across $R$ is $100 \ V$ and $R = 1 \ k\Omega$ with $C = 2 \ \mu F$. The resonant frequency $\omega$ is $200 \ rad/s$. At resonance,the voltage across $L$ is:

Similar Questions

Two circuits are shown in the figures $(a)$ and $(b)$. At a frequency of $....\,rad/s$,the average power dissipated in one cycle will be the same in both circuits.

In a series $LCR$ circuit,the plot of $I_{max}$ vs $\omega$ is shown in the figure. Find the bandwidth and mark it in the figure.

For an $R-L-C$ circuit,driven with voltage of amplitude $V_m$ and frequency $\omega_0 = \frac{1}{\sqrt{LC}}$,the current exhibits resonance. The quality factor $Q$ is

In a series $LCR$ resonant circuit,the quality factor is measured as $100$. If the inductance is increased by two fold and resistance is decreased by two fold,then the quality factor after this change will be .........

In the circuit shown,the readings of voltmeters $V_1, V_2$ and $V_3$ at resonance are given by

Vedclass Test Series

Exam Paper Generator

Online Exam Module