A circuit is shown in Figure 1. In this figure,

Question

(a) Label all the nodes (1, 2, 3, ...) in the circuit excluding the ground node which is already

labeled as 0.

(b) How many nodes are there?

(c) How many simple nodes are there?

(d) How many essential nodes are there?

(e) How many branches are there?

(f) How many meshes are there? List all meshes.

(g) How many loops (including meshes) are there?

(h) List all loops that are not meshes.

Answer 1

(b)

There are 7 nodes (0, 1, 2, 3, 4, 5, 6).

(c)

There are 3 simple nodes (1, 2, 4). Simple node connects two elements.

(d)

There are 4 essential nodes (1, 2, 4). Essential node connects three or more elements.

(e)

There are 9 branches.

(f)

There are three meshes:

Vs - R1 - R2 - R4 - R7

R4 - R3 - R5 - R6

R7 - R6 - R8

(g)

There are 7 loops.

(h)

Vs - R1 - R2 - R3 - R5 - R8

Vs - R1 - R2 - R3 - R5 - R6 - R7

Vs - R1 - R2 - R4 - R6 - R8

R7 - R4 - R3 - R5 - R8