An RLC circuit with R = 27.9ohm, L= 397mH, and = 40.8microF is connected to an a

Question

An RLC circuit with R = 27.9ohm, L= 397mH, and = 40.8microF is connected to an ac generator with an rms voltage of 22V

a. Determine the average power delivered to this circuit when the frequency of the generator is equal to the resonance frequency. answer in units W
b. Determine the average power delivered to this circuit when the frequency of the generator is twice the resonance frequency. answer in units W
c. Determine the average power delivered to this circuit when the frequency of the generator is half the resonance frequency. answer in unit W

Explanation / Answer

at resonance frequency total impedance=R=27.9 ohm resonance frequency=f=1/(2*pi*sqrt(L*C))=39.545 Hz so current(rms)=22/R=0.7885 A a. power=0.5*Vrms*Irms=8.6735 W b. now frequency=2f=79.09 Hz so inductance= j 197.284 ohms j=sqrt(-1) capacitance=-j 49.315 ohms so net impedance=27.9 + j147.969 ohms=150.576

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