Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.
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Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.
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Transcript of Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.
![Page 1: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/1.jpg)
Lecture 6
Nodal AnalysisSection 4.1-4.4Jack Ou, Ph.D.
![Page 2: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/2.jpg)
Definitions
![Page 3: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/3.jpg)
Nodes
![Page 4: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/4.jpg)
Branch
![Page 5: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/5.jpg)
Essential Node
![Page 6: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/6.jpg)
Step 1: Number of Nodal Voltage Equations
• ne is essential nodes
• Number of nodal voltage Equations is ne-1
ne is 32 nodal voltage equations are required.
![Page 7: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/7.jpg)
Step 2: Designate a node as the reference node.
• Suggestion: Select the node with the most branches.
![Page 8: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/8.jpg)
Step 3:Define the Node Voltage on the Diagram
![Page 9: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/9.jpg)
Step 4: Apply KCL
• Sum Currents Away from Essential Node
![Page 10: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/10.jpg)
Example 4.2
![Page 11: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/11.jpg)
Example 4.3
![Page 12: Lecture 6 Nodal Analysis Section 4.1-4.4 Jack Ou, Ph.D.](https://reader030.fdocuments.us/reader030/viewer/2022032703/56649d2e5503460f94a0507a/html5/thumbnails/12.jpg)
Supernode
• When a voltage source is between two essential nodes, we can combine these nodes to form a supernode.