3.1. Introduction
Step to analyze AC Circuits:
1. Transform the circuit to the phasor or frequency domain.
2. Solve the problem using circuit techniques (nodal
analysis, mesh analysis, superposition, etc.)
3. Transform the resulting phasor to the time domain.
3.2. Nodal Analysis
Find 𝑖𝑥 in the circuit
of Fig. using nodal
analysis.
Solution:
3.2. Nodal Analysis
3.2. Nodal Analysis
3.2. Nodal Analysis
From node 1
From node 2
3.2. Nodal Analysis
3.2. Nodal Analysis
Example 3.2
Compute 𝑽𝟏 and 𝑽𝟐 in the
circuit of Fig.
Solution:
Nodes 1 and 2 form a supernode as shown Fig. Applying KCL at the
supernode gives;
Example 3.2
Voltage source connected between nodes 1
and 2;
3.3. Mesh Analysis
Determine current 𝐼0 in the
circuit of fig, using mesh
analysis.
Applying KVL to mesh 1, we obtain
3.3. Mesh Analysis
3.3. Mesh Analysis
3.3. Mesh Analysis
Example 3.4
Solve for 𝑉0 in the circuit in
fig, using mesh analysis.
As shown fig, meshes 3 and 4 form a supermesh due to the
current source between the meshes.
Example 3.4
For mesh 1
For mesh 2
Example 3.4
Example 3.4
Example 3.4
Example 3.5
Example 3.5
Example 3.5
Example 3.5
Example 3.6
Example 3.6
Example 3.6