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Resonance Curve - Do I have enough info?

  1. Mar 27, 2009 #1
    1. The problem statement, all variables and given/known data

    For a sinusoidally driven RLC circuit.

    Draw accurate resonance curves for C = 0.01uF, L = 0.01mH and
    i) R = 20 ohm
    ii) R = 200 ohm

    2. The attempt at a solution

    Believe it or not, I do not have a single example of resonance curves in any of my textbooks. However, from my internet searches, I believe the resonance curves are supposed to look something like the one here:

    http://hyperphysics.phy-astr.gsu.edu/HBASE/electric/imgele/qresi.gif" [Broken]

    I know that at resonance,

    [tex]i_0=\frac{V_0}{R}[/tex]

    also

    [tex]\omega_0 = \frac{1}{\sqrt{LC}}[/tex]

    and that

    [tex]i=i_0\cos(\omega t + \phi)[/tex]

    But how do I bring this all together into something coherent? Am I not supposed to know what V0 is?

    Thanks!
    phyz
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Apr 1, 2009 #2

    Redbelly98

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    Staff Emeritus
    Science Advisor
    Homework Helper

    If you're not given Vo, you could plot the ratio Irms/Vorms instead of just Irms.

    This will involve calculating the complex impedance Z for the circuit, which can be used to get Irms/Vorms.
     
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