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For the series LCR circuit shown in the figure, what is the resonance frequency and the amplitude of the current at the resonating frequency

For the series LCR circuit shown in the figure, what is the resonance frequency and the amplitude of the current at the resonating frequency 

Question Image
Grade:12

1 Answers

Susmita
425 Points
3 years ago
The resonance frequency of a series resonance circuit is
w=\frac{1}{\sqrt{LC}}
L=8mH=8×10-3H and C=20uF=20×10-6F
So w=2500 rad/s
At resonance the capacitive and inductive voltages cancel out each other,ie,VL=-VC.
so Vsupply=VR+VL+VC=VR
so current through the resistance
IR=VR/R=Vsupply/R =220/44=5.5A
Hope this helps
 

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