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## Homework Statement

http://img534.imageshack.us/img534/5788/gimpjl.png

I have this circuit and I want to know [itex]i_1[/itex] and [itex]i_2[/itex] (currents in [itex]R_1[/itex] and [itex]R_2[/itex]).

[itex]\varepsilon[/itex] is electromotive force and L is inductance.

I'd like to know if the following system of equations is correct and if I can get [itex]i_1[/itex] and [itex]i_2[/itex].

**2. The attempt at a solution**

\begin{cases} \varepsilon=R_1(i_1+i_2)+R_2i_2 \\ \varepsilon-L\frac{d}{dt}i_1=R_1(i_1+i_2) \end{cases}

I think I'm wrong, because i1 is the current in L, not in R1, but I must get current in R1!

How can I correct the system of equations?

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