Home
Class 12
PHYSICS
A given LCR series circuit satisfes the ...

A given `LCR` series circuit satisfes the condition for resonance with a given `AC` source. If the angular frequency of the `AC` source is increased by `100%` then in order to establish resonance, and without changing the value of inductance, capacitance must be

A

Increased by 100%

B

Reduced by 50%

C

Increased by 75%

D

Reduced by 75%

Text Solution

Verified by Experts

The correct Answer is:
D
`omegaL=(1)/(omegac)("for resonance")`
`omega^2=1/(LC) ..........(1)`
For case (ii)
`(2omega)^(2)=1/(LC_(1)) .......(ii)`
(ii) divide (i) `rArr 4=(C)/(C_(1)) rArr C_(1)=C/4`
The capacitance is to be reduced by 75%.
Promotional Banner

Similar Questions

Explore conceptually related problems

Power in both the given circuit are same then find angular frequency of AC source

For an LCR series circuit with an aac source of angular frequency omega .

Plot a graph showing variation of capacitive reactance with the change in the frequency of the AC source.

What is the power factor of an LCR circuit connected to an AC source of angular frequency (1)/(sqrt(LC)) ?

A resistance R and an inductance L are connected in series in an a.c. circut. If omega is the angular frequency of the source, then the power factor is given by

An LCR series circuit is in resonance with the frequency of applied ac generator. Select the incorrect statement:

In a series LCR circuit resonance of frequency is the half of the frequency of source.The nature of the circuit is

Frequency of AC source is continuously increased, impedance of LCR series circuit