Lecture 6

Nodal AnalysisSection 4.1-4.4Jack Ou, Ph.D.

Definitions

Nodes

Branch

Essential Node

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.

Step 2: Designate a node as the reference node.

• Suggestion: Select the node with the most branches.

Step 3:Define the Node Voltage on the Diagram

Step 4: Apply KCL

• Sum Currents Away from Essential Node

Example 4.2

Example 4.3

Supernode

• When a voltage source is between two essential nodes, we can combine these nodes to form a supernode.