Suppose the frequency of the source in the above example can be varied (a) What is the frequency of the source at which resonance occurs ? (b) Calculate the impedeance, the current and power dissipated at the resonant condition.

Suppose the frequency of the source in the above example can be varied

1.	Suppose the frequency of the source in the above example can be varied (a) What is the frequency of the source at which resonance occurs ? (b) Calculate the impedeance, the current and power dissipated at the resonant condition.
Answer» (a) The frequency at which the resonance occurs is `omega_(0)=(1)/sqrt(LC)=(1)/(sqrt(25.48xx10^(-3)xx796xx10^(-6)))` =222.1rad/s `v_(r)=(omega_(0))/(2pi)=(221.1)/(2xx3.14)Hz=35.4Hz` (b) The impedance Z at resonant condition is equal to the resistance: Z=R=`3Omega` The rms current at resonance is `=(V)/(Z)=(V)/(R)=((283)/(sqrt(2)))(1)/(3)=66.7A` The power dissipated at resonance is `P=I^(2)xxR=(66.7)^(2)xx3=13.35kW` You can see that in the present case, power dissipated at resonance is more than the power dissipated in Example 7.8.

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Suppose the frequency of the source in the above example can be varied (a) What is the frequency of the source at which resonance occurs ? (b) Calculate the impedeance, the current and power dissipated at the resonant condition.

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