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Solved Problems-3

Problems-3
Branch current and loop current relations are expressed in matrix form as,
 
Description: 4914.png
 
Draw the oriented graph.
Solution
We know that, Description: 4928.png. So, the tie-set matrix, here, is,
 
 
So, the graph consists of four loops and eight branches. Loop 1 consists of branch 1, 5 and 7. The orientations are given following the sign +1 or –1. Following the procedure, the complete oriented graph is shown below.
 
Description: 2489.png
 




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