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Oscillations in a Circuit

  1. Jun 5, 2013 #1
    1. The problem statement, all variables and given/known data

    In the given picture, I need to formulate some kind of solution to find functions for the current, knowing that the two inductances create a mutual inductance (coupling)

    3. The attempt at a solution

    I start by formulating these two equations where M is the mutual inductance.

    For the left, E= Q/C + L1*dI1/dt - M*dI2/dt
    and
    for the right, 0= L2*dI2/dt + R*I2 - M*dI1/dt

    Does this look okay so far, and where should I go from here?
     

    Attached Files:

  2. jcsd
  3. Jun 6, 2013 #2
    What is Q?. Find it and the question will be solved.
     
  4. Jun 6, 2013 #3
    Q is just the charge on the capacitor
     
  5. Jun 6, 2013 #4
    Is there a relation between Q and I1, I2 ?
     
  6. Jun 7, 2013 #5
    I'm sure there is one, but Q is just a characteristic of the capacitor.
     
  7. Jun 7, 2013 #6
    The two equations you have made have 3 variables(Q ,I1, I2,) so it cant be solved. Try to get a third equation and you will have 3 equations for three variables.

    Hint: The third equation is a relation between I1 and Q. What is it?
     
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