Using both Kirchhoff's rules for the shown figure: a) Write down 3 independent equations relating the 3 currents. b) Solve the above equations to find $I_1$, $I_2$ and $I_3$.
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In this case, we have two junctions: one at the top left corner and one at the bottom right corner. At the top left corner junction, the current I1 splits into two branches: I2 and I3. Show more…
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Solve the systems of equations.Using Kirchhoff's laws (see the chapter introduction; the equations can be found in most physics textbooks) with the electric circuit shown in Fig. $5.43,$ the following equations are found. Find the indicated currents (in $\mathrm{A}$ ) $I_{1}, I_{7}$, and $I_{3}$.$$\begin{aligned} &1.0 I_{1}+3.0\left(I_{1}-I_{3}\right)=12\\ &\begin{array}{l}2.0 I_{2}+4.0\left(I_{2}+I_{3}\right)=12 \\1.0I_{1}-2.0 I_{2}+3.0 I_{3}=0\end{array}\end{aligned}$$ (FIGURE CANT COPY)
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