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Impendance in RCL circuit

  1. Feb 21, 2007 #1
    1. The problem statement, all variables and given/known data

    An RLC circuit has a capacitance of C=0.26 µF.

    (a) What inductance will produce a resonant frequency of 95 Mz? -----pH
    (b) If the impedance at resonance is 1/5 of the impedance at 10 kHz, what value of R should be chosen? ----Ohm

    2. Relevant equations

    omega = 1/(LC)^1/2

    Z=[(R^2 + (wL-(1/wC)^2]^1/2



    3. The attempt at a solution

    Part (a): I used omega = 1/(LC)^1/2, and got the correct answer, 10.5712pH

    Part (b): I tried setting the impendane at resonance equal to the impendance at 10kHz and solving for R, but I could not arrive at a solution. So, instead, since Z=R at resonance, I tried solving the impendance equation only at resonace for Z=R, but I have too many unknowns. Can anyone offer a hint as to how I should set this part up? Thanks!
     
  2. jcsd
  3. Feb 21, 2007 #2
    Nevermind, math errors. I managed to figure it out.
     
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