Question

A network has 6 branches and 4 independent loops. How many nodes are there in the network?Draw the diagram

Answer 1

Answer:

3

Explanation:

n=b-l+1

n=6-4+1

n=3

Answer 2

The number of nodes will be 3.

As we know that for any circuit or network, this formula is applicable;

$M=B-n+1$

Where M is the number of mesh or number of the independent loops.

B is the number of branches.

n is the number of nodes.

$\therefore n=B-M+1$

According to the question,

Number of branches $=6$

Number of independent loops$=4$

On putting these values in the given formula, we get,

$n=6-4+1=3$

Hence, the required number of nodes is 3.

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