1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: 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

    CEL

    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
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook