- #1

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- Homework Statement
- Determine the intensity and direction of the current passing through the resistor of ##4.00\Omega##

(Diagram below)

- Relevant Equations
- ##I=\frac{V}{R}##

##\Delta\_{Vtot}=0##

So, I started by writing down conditions imposed by Kirchhoff's laws, coming up with a system of 3 equations with the 3 unknown currents:

$$

\left\{\begin{matrix}

9V-8\Omega I_{8}+6V-4\Omega I_{4}=0 \\

6V-4\Omega I_{4}+3V-2\Omega I_{2}=0\\

I_{2}+I_{8}=I_{4}

\end{matrix}\right.$$

But something's wrong.