Transcript Lecture 3:Nodal AnalysisNilsson 4.1-4.4

Lecture 3:
Nodal Analysis
Nilsson 4.1-4.4
ENG17 : Circuits I
Spring 2015
April 7, 2015
1
Overview
• Node Voltage Method
• NVM w/Dependent
Sources
• NVM Special Cases
2
Planar Circuit
Planar
Not Planar
Nodal good for either
Mesh good for planar
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Identify
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Node
Essential Node
Path
Branch
Essential Branch
Loop
Mesh
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Simultaneous Equations
• How many unknown currents?
• How many equations needed?
5
Node Voltage Method – Setting Up
• Identify essential nodes
• Define reference node
• Apply KCL to each non-reference node,
express current in terms of node voltages
• Solve simultaneous equations
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Node Equations
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Example
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Overview
• Node Voltage Method
• NVM w/Dependent
Sources
• NVM Special Cases
9
Dependent Sources
• Only need to add equation to describe
relationship of the dependent source
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Example
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Overview
• Node Voltage Method
• NVM w/Dependent
Sources
• NVM Special Cases
12
Source Between Essential Nodes
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w/Dependent Source
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Supernode
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Example
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Recap
• Node Voltage Method
• NVM w/Dependent
Sources
• NVM Special Cases
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