I have started reading a book lately which covers an introduction to electric circuits. Currently, I'm trying to learn the basic network topology needed to solve exercises in a more efficient manner. To help me understand where I'm mistaken I'll describe you the circuit you see below in topology terms :
This circuit has 5 branches :
- 3 resistors.
- 1 Voltage Source.
- 1 Current Source.
This circuit has 3 nodes :
- Node a where R1 and V1 are connected.
- Node b where R2, R3 and I1 are connected through cables.
- Node c where the V1, R2, R3 and the I1 are connected through cables.
This circuit has 2 meshes :
mesh created between R3 and I1.
So if the above are correct then according to the basic network topology theorem:
$$b=l+n-1 <=> 5 = 2 + 3 - 1 <=> 5 = 4 $$
which obviously isn't correct. Where am I making a mistake ?