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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
If we want to represent a relation between number of link current and number of branch currents in a directional graph, we should use:
A network has seven nodes and five independent loops. The number of branches in the network is
For any lumped network, for any cut sets and at any instant of time the algebraic sum of all branch currents traversing the cut-set branches is always:
In the following graph, the number of trees (P) and cutset (Q) are
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