Coupled LC Circuit

1. Mar 13, 2014

aseylys

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. Mar 13, 2014

tman12321

I1 + I2 = 0 is no longer correct. Current flows through the inductor.

3. Mar 16, 2014

rude man

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.