The graph of a network has six branches with three tree

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The graph of a network has six branches with three tree branches. The minimum number of equations required for the solution of the network is—

1. 2
2. 3
3. 4
4. 5

Correct Option: B

We know that
b = n – 1 (where b = no. of tree branches)
3 = n – 1
or n = 4
Now, number of equation (i.e. meshes) required is given by the relation.
No. of equation = b – n + 1 = 6 – 4 + 1 (where b = no. of branches) = 3