- #1

aseylys

- 22

- 0

## Homework Statement

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.

## Homework Equations

I

_{1}+I

_{2}=0

I=dq/dt

These equations are for an LC circuit coupled by a capacitor:

L(d

^{2}q

_{1}/dt

^{2})+(1/C)q

_{1}+(1/C')(q

_{1}+q

_{2})=0

L(d

^{2}q

_{2}/dt

^{2})+(1/C)q

_{2}+(1/C')(q

_{1}+q

_{2})=0

## 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.