In a series resonant L-C-R circuit,the voltag | vedclass

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

Question

(C) At resonance,the inductive reactance equals the capacitive reactance: $\omega L = \frac{1}{\omega C}$.The current $I$ flowing through the circuit

Vedclass · Accepted Answer

$250$

Vedclass · Answer

(C) At resonance,the inductive reactance equals the capacitive reactance: $\omega L = \frac{1}{\omega C}$.The current $I$ flowing through the circuit is given by $I = \frac{V_R}{R} = \frac{100 \, V}{1000 \, \Omega} = 0.1 \, A$.The voltage across the inductor $L$ is $V_L = I X_L = I \omega L$.Since at resonance $\omega L = \frac{1}{\omega C}$,we can write $V_L = \frac{I}{\omega C}$.Substituting the given values: $V_L = \frac{0.1}{200 	imes 2 	imes 10^{-6}} = \frac{0.1}{400 	imes 10^{-6}} = \frac{0.1}{4 	imes 10^{-4}} = \frac{1000}{4} = 250 \, V$.

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

Similar Questions

$A$ transmitting station releases waves of wavelength $960\, m$. $A$ capacitor of $2.56\, \mu F$ is used in the resonant circuit. The self-inductance of the coil necessary for resonance is $............ \times 10^{-8}\, H$.

The total impedance of a series $L-C-R$ circuit varies with the angular frequency of the $AC$ source connected to it,as shown in the graph. The quality factor $Q$ of the series $L-C-R$ circuit is:

An inductor of $0.5\,mH$,a capacitor of $20\,\mu F$ and a resistance of $20\,\Omega$ are connected in series with a $220\,V$ $AC$ source. If the current is in phase with the $EMF$,the amplitude of the current in the circuit is $\sqrt{x}\,A$. The value of $x$ is:

The readings of the ammeter and voltmeter in the following circuit are respectively:

An $AC$ circuit has $R = 100 \, \Omega$,$C = 2 \, \mu F$,and $L = 80 \, mH$ connected in series. The quality factor of the circuit is $.......$

Vedclass Test Series

Exam Paper Generator

Online Exam Module