A network has 8 branches and 3 independent loops. How many nodes are there in the network?
A network has 8 branches and 3 independent loops. How many nodes are there in the network?
Right Answer is:
6
SOLUTION
For a network having N nodes and B branches, the number of simultaneous equations to be solved to get the unknowns
= Number of KVL equations
= number of independent loop equations
= B – N + 1
Calculation:
Given that, number of loops (l) = 3
Number of branches (b) = 8
In any network, the number of independent loops,
l = b – n + 1
⇒ 3 = 8 – n + 1
⇒ n = 6