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Resonant frequencies of simple RLC circuit

  1. Sep 3, 2009 #1
    I need to find the resonant frequency of the circuit shown in the diagram.

    http://img216.imageshack.us/img216/1750/gdmn.jpg [Broken]

    The loop has a value of 1H, the capacitor has a value of 0.2F and the resistor has a value of 10 ohm.

    My initial approach has been to try and find the total admittance of the circuit, to see what frequencies would mean Im(Y)=0, but that doesn't seem to work. Does this look like the correct admittance to you?

    Y = 1/(1/[1/jwL]+1/[jwC+0.1])

    (w is used as a substitute for omega)
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Sep 3, 2009 #2


    User Avatar

    Well, 1/1/jwL = jwL.
    And you can use impedance, instead of admittance.
    So, your expression is correct, but could be simpler:
    [tex]Z=j\omega L + \frac{1}{j\omega C + 0.1}[/tex]
  4. Sep 16, 2009 #3
    Thank you
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