Equivalent Circuits Network Equivalent Resistance Equivalent

Equivalent Circuits Network

Equivalent Resistance

Equivalent Resistance

Equivalent Resistance

Equivalent Resistance

Equivalent Resistance

Source Transformation

Source Transformation

Equivalent Source

Equivalent Source

Branch Analysis KVL

Branch Analysis

Branch Analysis

Nodal Analysis 1) Choose a reference node

Nodal Analysis 1) Choose a reference node

Nodal Analysis 2) Assign node voltages to the other nodes

Nodal Analysis 3) Apply KCL to each node other than the reference-express currents in terms of node voltages.

Nodal Analysis 4) Solve the resulting system of linear equations.

Nodal Analysis 4) Solve the resulting system of linear equations.

Nodal Analysis 4) Solve the resulting system of linear equations.

Nodal Analysis What if there are dependent sources?

Nodal Analysis What if there are voltage sources?

Nodal Analysis What if there are voltage sources?

Nodal Analysis

Mesh(Loop) Analysis 1) Identifying the Meshes Mesh: A special kind of loop that doesn’t contain any loops within it.

Mesh(Loop) Analysis 2) Assigning Mesh Currents 3) Apply KVL around each loop to get an equation in terms of the loop currents. For Mesh 1: For Mesh 2:

Mesh(Loop) Analysis 3) Apply KVL around each loop to get an equation in terms of the loop currents. 4) Solve the resulting system of linear equations.

Mesh (Loop) Analysis Mesh 1: Mesh 2: Mesh 3:

Mesh (Loop) Analysis Mesh 1: Mesh 2:

Mesh (Loop) Analysis What if there are current sources?

Mesh (Loop) Analysis What if there are current sources?

Mesh (Loop) Analysis What if there are current sources?

Mesh (Loop) Analysis What if there are current sources?

Mesh(Loop) Analysis

Mesh (Loop) Analysis

Linearity

Linearity

Linearity

Linearity

Superposition

Superposition How to Apply Superposition?

Superposition

Superposition

Superposition KVL for mesh 2:

Superposition

Superposition

Superposition

Thevenin’s theorem

Thevenin’s theorem Independent Sources

Thevenin’s theorem No Independent Sources

Norton’s theorem

Norton’s theorem Norton Equivalent: Independent Sources

Norton’s theorem Norton Equivalent: No Independent Sources

Example 4. 9 (p 93)

Thevenin’s theorem

Norton’s theorem

Maximum power transfer