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Coupled LC Circuit

  1. Mar 13, 2014 #1
    1. The problem statement, all variables and given/known data

    I have to find the normal frequencies of a coupled LC circuit. However, this LC circuit is coupled by an inductor, not a capacitor.



    __|C|________|C|__
    |............|............|
    ^I(1)......|............^I(2)
    |............|............|
    {L}.......{L'}........{L}
    |............|............|
    |............|............|
    --------------------

    I'm sorry, I didn't have a picture but that's basically the circuit.

    2. Relevant equations

    I1+I2=0
    I=dq/dt

    These equations are for an LC circuit coupled by a capacitor:
    L(d2q1/dt2)+(1/C)q1+(1/C')(q1+q2)=0

    L(d2q2/dt2)+(1/C)q2+(1/C')(q1+q2)=0

    3. The attempt at a solution

    The only attempt I could figure out that it would be similar to that of a circuit coupled by a capacitor. I don't know if I'm on the right track or not and if I am I'm not sure how to modify the two equations.
     
  2. jcsd
  3. Mar 13, 2014 #2
    I1 + I2 = 0 is no longer correct. Current flows through the inductor.
     
  4. Mar 16, 2014 #3

    rude man

    User Avatar
    Homework Helper
    Gold Member

    I see an L' in your image but not in your equations. Conversely I see a C' in your equations but not in your image.
     
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