Nodal analysis uses KCL and component characteristics to set up a set of equations with node voltages as the unknowns.
In the circuit on the right there are three nodes. Since the circuit is linear, we can get a set of 3 linear equations which can be solved easily with linear algebra.
The node voltages and branch currents are shonw in the circuit.
The parameters are chosen so that the solutions are round numbers. You can play with it by changing the parameters.
The case is set up so that equations will be solved automatically whenever a parameter has been modified.
Lool analysis uses KVL and component characteristics to set up a set of equations with loop currents as the unknowns.
In the circuit on the right there are three loops. Since the first loop contains a current source, its loop current is no longer an unknonw. Therefore there will only be a set to 2 linear equations which can be solved easily with linear algebra.
Once loop currents are determined, KCL is used to find the branch currents. Branch voltages are found used component's characteristics. Node voltages are found using KVL and branch voltages.
The parameters are chosen so that the solutions are round numbers. You can play with it by changing the parameters.
The case is set up so that equations will be solved automatically whenever a parameter has been modified.
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