Question

If there are 5 branches and 4 nodes in the graph, then the number of mesh equations that can be formed are?

• A. 2
• B. 4
• C. 6
• D. 8

Hint:

When analyzing mesh circuits, always use the formula \( \text{Number of mesh equations} = B - N + 1 \) to quickly determine the number of equations.

Answer 1

The Correct Option is A

The number of mesh equations is given by the formula: \[ \text{Number of mesh equations} = B - N + 1 \] where \( B \) is the number of branches and \( N \) is the number of nodes. In this case, \( B = 5 \) and \( N = 4 \), so the number of mesh equations is: \[ 5 - 4 + 1 = 2 \] Therefore, the correct answer is option (1).