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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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