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AC Circuits II: AC Power Generator

  1. Jul 12, 2009 #1
    1. The problem statement, all variables and given/known data

    A An AC generator supplies an rms voltage of 110 V at 60.0 Hz. It is connected in series with a 0.300 H inductor, a 5.80 μF capacitor and a 236 Ω resistor.
    What is the impedance of the circuit?

    B What is the rms current through the resistor?

    C What is the average power dissipated in the circuit?

    D What is the peak current through the resistor?

    E What is the peak voltage across the inductor?

    F What is the peak voltage across the capacitor?

    G The generator frequency is now changed so that the circuit is in resonance. What is that new (resonance) frequency?

    2. Relevant equations

    Z=[R^2+(XL-Xc)^2]^(1/2)
    XL=2pifL
    Xc=1/(2pifc)

    Part E: VL=[(2^.5)*Vrms]/Z
    Part F: VL=[(2^.5)*Vrms]/Xc

    3. The attempt at a solution

    I need help for part E and F

    I substituted the numbers in the equation and I got the wrong answer. Can someone point me in the right direction?

    Xc=457.34
    Vrms=110
    Z=4.17×10^2
     
    Last edited: Jul 12, 2009
  2. jcsd
  3. Jul 12, 2009 #2

    rl.bhat

    User Avatar
    Homework Helper

    Vrms across C = Irms* Xc
    Now what is the relation between peak voltage and rms voltage?
     
  4. Jul 13, 2009 #3
    Thank you!
     
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