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1
Nodal Analysis
Background
KVL + KCL + Ohm’s law
−
sufficient in analyzing any resistive circuits
−
difficult to use as the complexity of circuits increased
Nodal Analysis
Mesh Analysis
−
developed based on Kirchhoff’s laws
−
provide two systematic methods for describing circuits
Nodal Analysis
• In nodal analysis, the circuit variables are
node
voltages
i
A
i
B
R
1
R
2
R
3
Steps to Determine Node Voltages
1. Select a reference node.
2. Assign node voltages to the other nodes.
3. Apply KCL to nonreference nodes
 express currents in terms of node voltages.
4. Solve the resulting linear equations.
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Nodal Analysis
• Node voltages
– The voltage at the reference node is assumed to
be zero
−
We select node voltages as being positive w.r.t.
the reference node
−
If the node voltage is actually negative w.r.t. the
reference node, the analysis will indicate it.
• Once node voltages are known, we can
calculate any branch current.
Nodal Equations by Visual
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This note was uploaded on 03/15/2009 for the course EE 112 taught by Professor All during the Spring '08 term at Cal Poly.
 Spring '08
 ALL

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