ee 131 lecture 2 - methods of analysis.pdf
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EE 131LECTURE 2 METHODS OF
ANALYSIS
Prepared by:
Engr. Rogelio F. Bersano Jr.
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Nodal Analysis
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Nodal Analysis Typical circuit for nodal analysis
(a) Given circuit, (b) voltages v1and v2are assigned
with respect to the reference node (i.e. ground).
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Nodal Analysis Typical circuit for nodal analysis:
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Nodal Analysis Typical circuit for nodal analysis:
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Nodal Analysis
Example 1: Calculate the node voltages in thecircuit shown below.
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Nodal Analysis
Example 1: Calculate the node voltages in thecircuit shown below.
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Nodal Analysis
Example 1: Calculate the node voltages in thecircuit shown below.
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Nodal Analysis
Example 1: Calculate the node voltages in thecircuit shown below.
Adding equation (1) and (2)
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Nodal Analysis
Example 2: Calculate the node voltages in thecircuit shown below.
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Nodal Analysis
Example 3: Determine the voltages at nodes 1, 2and 3.
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Nodal Analysis
Example 3: Determine the voltages at nodes 1, 2and 3.
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Nodal Analysis
Example 3: Determine the voltages at nodes 1, 2and 3.
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Nodal Analysis
Example 3: Determine the voltages at nodes 1, 2and 3.
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Nodal Analysis
Example 3: Determine the voltages at nodes 1, 2and 3.
Node 1:
Node 2:
Node 3:
(1)
(2)
(3)
Ans
= . = . = .
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Nodal Analysis with Voltage Sources
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Nodal Analysis with Voltage Sources
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Nodal Analysis: Supernode
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Nodal Analysis: Supernode
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Nodal Analysis: Supernode
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Nodal Analysis: Supernode
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Nodal Analysis: Supernode
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Nodal Analysis: Supernode
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Nodal Analysis: Supernode
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Nodal Analysis: Supernode
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Mesh Analysis
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Mesh Analysis
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Mesh Analysis
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Mesh Analysis
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Mesh Analysis
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Mesh Analysis
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Mesh Analysis
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Mesh Analysis
Example 4: Find the branch currents I1, I2, and I3using mesh analysis.
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Mesh Analysis
Example 4: Find the branch currents I1, I2, and I3using mesh analysis.
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Mesh Analysis
Example 5: Use mesh analysis to find the current Ioin the circuit below.
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Mesh Analysis
Example 5: Use meshanalysis to find the
current Io in the circuit
below.
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Mesh Analysis
Example 5: Use meshanalysis to find the
current Io in the circuit
below.
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Mesh Analysis
Example 5: Use meshanalysis to find the
current Io in the circuit
below.
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Mesh Analysis: with Current Source
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Mesh Analysis: with Current Source
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Mesh Analysis: with Current Source
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Mesh Analysis: with Current Source
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Mesh Analysis: with Current Source
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Mesh Analysis: with Current Source
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Nodal andMesh Analysis byInspection
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Nodal andMesh Analysis byInspection
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Nodal andMesh Analysis byInspection
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Nodal and Mesh Analysis byInspection
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Nodal and Mesh Analysis byInspection
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Nodal andMesh Analysis byInspection
Example 6: Write the node-voltage matrix equationsin the following circuit.
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Nodal andMesh Analysis byInspection
Example 6: Write the node-voltage matrix equationsin the following circuit.
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Nodal and Mesh Analysis byInspection
Example 7: Write the mesh-current equations in thefollowing circuit.
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Nodal and Mesh Analysis byInspection
Example 7: Write the mesh-current equations in thefollowing circuit.
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Nodal versus Mesh Analysis
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