Question P2 Consider an LC circuit in which L = 470 mH and C = 0.112 µF.(a) What is the resonance frequency w,?krad/s(b) If a resistance of 1.30 kn is introduced into this circuit, what is the frequency of the damped oscillations?|krad/s(c) By what percentage does the frequency of the damped oscillations differ from the resonance frequency?

R4KJ6T The Asker · Physics

P2

Transcribed Image Text: Consider an LC circuit in which L = 470 mH and C = 0.112 µF.(a) What is the resonance frequency w,?krad/s(b) If a resistance of 1.30 kn is introduced into this circuit, what is the frequency of the damped oscillations?|krad/s(c) By what percentage does the frequency of the damped oscillations differ from the resonance frequency?
More
Transcribed Image Text: Consider an LC circuit in which L = 470 mH and C = 0.112 µF.(a) What is the resonance frequency w,?krad/s(b) If a resistance of 1.30 kn is introduced into this circuit, what is the frequency of the damped oscillations?|krad/s(c) By what percentage does the frequency of the damped oscillations differ from the resonance frequency?
Community Answer
PUA5UD

Step 1Given: L=470mH=0.47HC=0.112 muF=0.112 xx10^(-6)FSolution: omega_(0)=(1)/(sqrt(LC)){:[omega_(0)=(1)/(sqrt((0.47)(0.112 xx10^(-6))))=4359rad//s],[w_(0)=4.359krad//s" Ans. "]:}Step 2(b) omega_(d)=sqrt((1)/(LC)-((R)/(2L))^(2)){:[omega_(d)=sqrt((1)/((0.47)(0.112 xx10^(-6)))-[( ... See the full answer