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A network has seven nodes and five independent loo...
1.
A network has seven nodes and five independent loops. The number of branches in the network is
A.
13
B.
12
C.
11
D.
10
Answer» D. 10
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For a given connected network and for a fixed tree, the fundamental loop matrix is given by\(B = \left[ \begin{matrix} 1 & 0 & 0 & 1 & 0 & 0 \\ 0 & 1 & 0 & 0 & 0 & -1 \\ 0 & 0 & 1 & 1 & -1 & -1 \\ \end{matrix} \right]\)The fundamental cut-set matrix Q corresponding to the same tree is given by
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A network has seven nodes and five independent loops. The number of branches in the network is
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In the following graph, the number of trees (P) and cutset (Q) are
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