# Circuit with two resistances and inductance [closed]

I have this circuit and I want to know $i_1$ and $i_2$ (currents in $R_1$ and $R_2$). $\varepsilon$ 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 $i_1$ and $i_2$. Thanks a lot

\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}

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According to your drawing (and the equations you wrote), $i_1$ is the current in $L$, and not in $R_1$ ($i_2$ is still the current in $R_2$ like you wrote). – Joe Jan 21 at 15:30
Also, according to the drawing you have is a battery that supplies the power to the circuit, and not an EMF like you wrote. – Joe Jan 21 at 15:31
The equations seem correct to me. – Joe Jan 21 at 15:32
@Joe can you tell me how can I get currents in R1 and R2? Thanks a lot – sunrise Jan 21 at 16:09
Please see our homework policy. We expect homework problems to have some effort put into them, and deal with conceptual issues. If you edit your question to explain (1) What you have tried, (2) the concept you have trouble with, and (3) your level of understanding, I'll be happy to reopen this. (Flag this message for ♦ attention with a custom message, or reply to me in the comments with @Manishearth to notify me) – Manishearth Jan 21 at 16:30