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Transcript of NODAL ANALYSIS
1) SITI NOOR FATIHAH BT AHMAD
2) RATHY-SHRY A/P VELOO
3) NURUL AFNEE BT ABDUL AZIZ
In electric circuits analysis, nodal analysis, node-voltage analysis, or the branch current method is a method of determining the voltage between "nodes" in an electrical circuit in terms of the branch currents.
1) Every circuit has n nodes with one of the nodes being
designated as a reference node.
2) We designate the remaining n – 1 nodes as voltage nodes
and give each node a unique name, vi.
3) At each node we write Kirchhoff’s current law in terms
of the node voltages.
4) We form n-1 linear equations at the n-1 nodes
in terms of the node voltages and solve the equation by making the calculation.
Steps 1 and 2 have already been applied. To apply step 3:
In this case there is only one unknown, vb. Plugging in numbers and solving the circuit we get
The first part of the problem involved obtaining these equations:
I'm going to solve this problem using Cranmer's Rule, but either the Gauss elimination method or matrix inversion will work equally as well.
So, the two node voltages are:
Now, we set this up in matrix form:
So. the answer will be:
Based on the analysis of the circuit, we have these two nodal equations.
Put into a matrix gives:
Solved using Cranmer's method.
So, the node voltages are:
Looking at the circuit again, v can be found simply by subtracting node 2 from node 1
Lecturer Muhammad Shukri bin Ahmad
BASIC CIRCUIT: THE CONCEPT