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When the frequency of the AC source in an LCR circuit equals the resonant frequency, the reactance of the circuit is zero. Does it mean that there is no current through the inductor or the capacitor ?

When the frequency of the AC source in an LCR circuit equals the resonant frequency, the reactance of the circuit is zero. Does it mean that there is no current through the inductor or the capacitor ?

Grade:12

1 Answers

Askiitians_Expert Yagyadutt
askIITians Faculty 74 Points
10 years ago

Hii Nikhil !

 

Yes at the resonance the ...the reactance of Inductor become equal to that of capacitor ...i.e

 

w L = 1/w C   or  w = 1/root(LC)

 

At this point circuit is pure resistive...and current through the circuit is  V/R where V is the source voltage and R is the resistance..

 

But the current through individual L and C is not zero...so voltage accross them become out of phase with each other...thus they get canceled out...

Through the circuit maximum current flow....not zero ..

 

With regards

Yagya

askiitians_expert

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