In a series LCR resonance circuit,if we chang | vedclass

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

Question

(A) The resonance frequency of an $LCR$ circuit is given by $\omega_0 = 1 / \sqrt{LC}$. Since it depends only on $L$ and $C$,it remains constant when

Vedclass · Accepted Answer

The bandwidth of the resonance circuit will increase.

Vedclass · Answer

(A) The resonance frequency of an $LCR$ circuit is given by $\omega_0 = 1 / \sqrt{LC}$. Since it depends only on $L$ and $C$,it remains constant when resistance $R$ is changed.The bandwidth of an $LCR$ circuit is defined as $\Delta \omega = R / L$.Since the bandwidth $\Delta \omega$ is directly proportional to the resistance $R$ $(\Delta \omega \propto R)$,increasing the resistance $R$ will increase the bandwidth.The quality factor $Q$ is given by $Q = \omega_0 L / R = 1 / R \sqrt{L/C}$. Since $Q \propto 1/R$,increasing the resistance $R$ will decrease the quality factor.Therefore,the correct statement is that the bandwidth of the resonance circuit will increase.

In a series $LCR$ resonance circuit,if we change the resistance only,from a lower to higher value:

Similar Questions

When resonance is produced in a series $LCR$ circuit,then which of the following is not correct?

An inductor of $0.5 \ mH$,a capacitor of $20 \ \mu F$ and a resistance of $20 \ \Omega$ are connected in series with a $220 \ V$ a.c. source. If the current is in phase with the e.m.f.,the maximum current in the circuit is $\sqrt{x} \ A$. The value of '$x$' is

$A$ circuit of negligible resistance has an inductor of $0.16 H$ and a capacitor of $25 \mu F$ connected in series with an alternating voltage source. The resonant frequency of the circuit is:

$A$ series resonant circuit consists of an inductor '$L$' of negligible resistance and a capacitor '$C$' which produces a resonant frequency '$f$'. If '$L$' is changed to $3L$ and '$C$' is changed to $6C$,the new resonant frequency will become:

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.

Vedclass Test Series

Exam Paper Generator

Online Exam Module