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

[eestep]

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=(x_L-x_c)/tan$$\phi$$
P_Av=1/2VI₀cos$$\phi$$
x_L=$$\omega$$L
x_c=1/$$\omega$$c
f₀=1/(2$$\pi$$$$\sqrt{}LC$$)

The Attempt at a Solution

L=1/(2$$\pi$$)^2[/SUPf₀2c

 

[gneill]

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?).

 

[eestep]

I appreciate your assistance!