Question

7. If a circuit has L closed loops, B branches, and J junctions the number of independent loopequations is:A. B − J + 1B. B − JC. BD. LE. L − J

Answer 1

Given:

Number of closed loops = L

Number of branches = B

Number of junctions = J

Let's determine the number of independent loop equation.

In a circuit, to write the equation which represents the number of independent loop, apply the Fundamental Theorem in Network Topology.

Since the circuit has L closed loops, B branches and J junctions, we have the equation:

$B=L+J-1$

Now, for the number of independent loop rewrite the equation for L:

$L=B-J+1$

Therefore, the number if independent loop equation is:

$L=B-J+1$

ANSWER: A

$B-J+1$