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Electromagnetic Induction in AC circuits

  1. Mar 31, 2010 #1
    A 9.7 Ω resistor, a 10.8 µF capacitor, and a 27.9 mH inductor are connected in series with a 120 V (rms) source with variable frequency.
    (a) At what frequency will the current be maximum?

    Hz



    (b) Find the maximum rms current.

    A



    (c) Suppose you now replace the 10.8 µF capacitor by a 22.0 µF capacitor. What is the new value of the rms current?

    A





    a ) frequency f = 1 / 2π √ L C
    = 1/ 2π √27.9 mH * 10.8μF
    = _____ Hz cannot get right frequency
    b ) Maximum rms current Irms = Vrms / XC
    XC = 1/ 2π f C
    = 1/ 2π * f Hz * 10.8μF
    = _____ Ω
    Irms = 120 V / XC Ω
    = ____
    c ) Maximum rms current Irms = Vrms / XC
    XC = 1/ 2π f C
    = 1/ 2π * f Hz * 22.0μF
    = ___ Ω
    Irms = 120 V / XC Ω
     
  2. jcsd
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