# A pretty difficult problem about oscillatory circuit

1. Dec 5, 2007

An oscillatory circuit

1. The problem statement, all variables and given/known data
So, there are parameters of a circuit. Also we got an answer. Just look at image below in the attachments.

2. Relevant equations
This problem uses simple differential equations. All I could write down here is on the wikipedia page: http://en.wikipedia.org/wiki/LC_circuit

3. The attempt at a solution
After some pondering, I've got something about that.
$$\epsilon=L_{1}\frac{dI}{dt}$$
$$\epsilon_{c}=-L_{2}\frac{dI}{dt}$$
$$U=I*R$$
$$U\epsilon_{c}=\frac{q}{C}$$
So that:
$$IR+\frac{q}{c}=\frac{dI}{dt}(L_{1}-L_{2})$$

#### Attached Files:

• ###### graph.gif
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Last edited: Dec 6, 2007
2. Dec 6, 2007