Nodal Analysis
- The aim of nodal analysis is to determine the voltage at the each node relative to the reference node (or ground).
Important terms to remember:
- Reference node- has a potential of 0V by definition.
The Reference Node Symbol
Nodal Analysis with Voltage Sources:
Case 1:
- If a voltage source is connected between the reference node and a nonreference node, we simply set the voltage at the nonreference node equal to the voltage of the voltage source.
Case 2:
- If the voltage source (dependent or independent) is connected between two nonreference nodes, the two nonreference nodes form a generalised node or supernode; we apply both KCL and KVL to determine the node voltages.
1. Find the essential nodes.
2. Define one essential node as the reference node.
3. Define the node voltages, the essential nodes with respect to the reference node. Label them.
4. Apply KCL for each non-reference essential node.
5. Write an equation for each current or voltage upon which dependent sources depend, as needed.
Watch Video of a Example using Nodal Analysis!
Reflection:
According to our professor, there two ways in analyzing a circuit. The first one is nodal analysis. This is where we generate equation using voltages. As soon as we obtain the equations, we are encouraged to use the cramer's rule in finding the respected values of voltages in each node. Based on my experience, I find it easy to use the cramer's rule compared to the elimination method or substitution method when we are looking for the values of three unknowns.