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Solved Problems-2

From the figure, make the graph and find one tree. How many mesh currents are required for solving the network? Find the number of possible trees.
Description: 2455.png
The graph of the network is shown below. One tree of the graph is shown.
Description: 2462.png
Graph of the network                  Tree of the graph
The complete incidence matrix is obtained as,
Reduced incidence matrix becomes,
Hence the number of possible trees is,
n = det Description: 4902.png
= det Description: 4908.png
⇒ n =12

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