Question

A network has 6 nodes and 4 independent loops what is the number of branches in the network?​

Answer 1

Given info : A network has 6 nodes and 4 independent loops.

To find : The number of branches in the network.

solution : we have to use the formula,

number of nodes in the network = number of branches in the network - number of loops in the network + 1.

here number of independent loops in the network = 4

number of nodes in the network = 6

so, 6 = number of branches in the network - 4 + 1

⇒6 + 4 - 1 = number of branches in the network

⇒number of branches in the network = 9

Therefore the number of branches in the network is 9.