I0=V/RR=(xL-xc)/tan\phiPAv=1/2VI0cos\phiMax Current in RLC Circuit @ 1759 Hz

AI Thread Summary
At a resonant frequency of 2,459 Hz, the average power in the RLC circuit is 74 Watts with a maximum voltage of 58 volts. The circuit's capacitance is 3 micro-Farads, and the task is to determine the maximum current at 1,759 Hz, which is calculated to be 2.14 amps. The relationship between the inductor and resistor values is explored, emphasizing that at resonance, reactive impedances cancel, allowing average power to be dissipated by the resistor. The discussion also prompts users to find the resistor value based on the given parameters. Understanding these relationships is crucial for solving the circuit's behavior at different frequencies.
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Homework Statement


At resonant frequency of 2,459 Hz for an RLC circuit, average power of circuit is 74 Watts when connected to a voltage source with a maximum voltage of 58 volts. If capacitance is 3 micro-Farads, what is maximum current, in amps, at 1,759 Hz? Answer is 2.14.

Homework Equations


I0=V/R
R=(xL-xc)/tan\phi
PAv=1/2VI0cos\phi
xL=\omegaL
xc=1/\omegac
f0=1/(2\pi\sqrt{}LC)

The Attempt at a Solution


L=1/(2\pi)2[/SUPf02c
 
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You've attempted to find the value of the inductor. What value did you get?

Can you find the value of the resistor? (Hint: at resonance the reactive impedances cancel each other, and the average power given will be dissipated by the resistor. What's the average power dissipated by a resistor given a maximum value for the voltage?).
 
I appreciate your assistance!
 

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