An inductor of inductance L,a capacitor of ca | vedclass

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

Question

(A) The quality factor $(Q)$ of a series $LCR$ circuit is defined as the ratio of the resonant frequency to the bandwidth of the circuit.Mathematicall

Vedclass · Accepted Answer

$\sqrt{\frac{L}{CR^2}}$

Vedclass · Answer

(A) The quality factor $(Q)$ of a series $LCR$ circuit is defined as the ratio of the resonant frequency to the bandwidth of the circuit.Mathematically,it is given by the formula: $Q = \frac{\omega_0 L}{R}$,where $\omega_0$ is the resonant angular frequency.For a series $LCR$ circuit,the resonant angular frequency is $\omega_0 = \frac{1}{\sqrt{LC}}$.Substituting this value into the formula for $Q$:$Q = \frac{1}{R} \cdot \frac{1}{\sqrt{LC}} \cdot L$$Q = \frac{1}{R} \sqrt{\frac{L^2}{LC}}$$Q = \frac{1}{R} \sqrt{\frac{L}{C}}$$Q = \sqrt{\frac{L}{CR^2}}$Therefore,the correct option is $A$.

An inductor of inductance $L$,a capacitor of capacitance $C$,and a resistor of resistance $R$ are connected in series to an $ac$ source. The quality factor of the circuit is

Similar Questions

In an $LCR$ circuit, the resonant frequency is $600 \ Hz$ and the half-power points are at $650 \ Hz$ and $550 \ Hz$. The quality factor is:

In a series $LCR$ resonant circuit,$R = 800 \ \Omega$,$C = 2 \ \mu F$,and the voltage across the resistance is $200 \ V$. The angular frequency is $250 \ rad/s$. At resonance,the voltage across the inductance is: (in $V$)

An alternating current is flowing through a series $L-C-R$ circuit. It is found that the current reaches a value of $1 \ mA$ at both $200 \ Hz$ and $800 \ Hz$ frequency. What is the resonance frequency of the circuit (in $Hz$)?

$A$ series combination of a resistor of resistance $100\,\Omega$,an inductor of inductance $1\,H$,and a capacitor of capacitance $6.25\,\mu F$ is connected to an $AC$ source. The quality factor of the circuit will be $.............$.

If the reading of the voltmeter $V$ shown in the figure at resonance is $200 \, V$,then the quality factor of the circuit is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module