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Kirchhoff's Rules Were Applied to a Four-Loop Network I1,I2,l3I_{1}, I_{2}, l_{3}

Question 75

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Kirchhoff's rules were applied to a four-loop network. Solve for currents I1,I2,l3I_{1}, I_{2}, l_{3} , and I4I_{4} in this resulting system of equations:
2I1+3I2+2I3=18-2 I_{1}+3 I_{2}+2 I_{3}=-18
3I1+3I34I4=13I1+5I2+5I4=010I1+I25I38I4=5\begin{aligned}3 I_{1}+3 I_{3}-4 I_{4} & =-13 \\I_{1}+5 I_{2}+5 I_{4} & =0 \\-10 I_{1}+I_{2}-5 I_{3}-8 I_{4} & =5\end{aligned}
Find the loop currents.

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