\$N-1=\# KCL \$
\$E-N+1=\# KVL \$
(where \$N\$=number of nodes; \$E\$=number of elements on the circuits) gives us the linear independent equations on a circuit.
But sometimes the expressions gives me, for example, 5, and I only have 3 unknowns. So, why is this wrong? What do the value of the expressions tell me? The independent equations I can write, or the independent equations I will need to analyze the circuit?
What about nodes? Are they the theoretically nodes or the practical nodes? I always consider on this expressions the theoretical nodes. I mean, it doesn't necessarily have to be a current divider, it can simply connects 2 elements of the circuit.
These equations aren't very accurate to me, and I would like you to help me figuring it out why.
Here I have 8 nodes and 10 elements, so I got 7 independent KCL equations and 3 independent KVL equations, but I only want to know I,I1,I2,I3,I4,I5, so I just have 6 unknowns. Why I have more equations that unknowns? How can I select the 7 KCL equations in order to don't get dependent equations?