RLC Circuit

  • Thread starter eestep
  • Start date
  • #1
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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[tex]\phi[/tex]
PAv=1/2VI0cos[tex]\phi[/tex]
xL=[tex]\omega[/tex]L
xc=1/[tex]\omega[/tex]c
f0=1/(2[tex]\pi[/tex][tex]\sqrt{}LC[/tex])

The Attempt at a Solution


L=1/(2[tex]\pi[/tex])2[/SUPf02c
 

Answers and Replies

  • #2
gneill
Mentor
20,805
2,785
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?).
 
  • #3
36
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I appreciate your assistance!
 

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