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Solved Problems-7

Problems-7
For the network shown in the figure, draw the oriented graph and obtain the tie-set matrix. Use this matrix to calculate i.
 
Description: 2625.png
Solution
The oriented graph and any one tree are shown.
 
Description: 2632.png
 
The tie-set matrix is given as,
Description: 5063.png
 
The branch impedance matrix,
Description: 5069.png
Description: 5075.png
 Description: 5081.png
Now, Description: 5092.png
 
So, the loop equations become,
Description: 5098.png
 
Solving for I1,
Description: 5104.png
 
∴ Description: 5110.png
 




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