1. Ch. 3 – Methods of Analysis
Part B - Mesh Analysis
Based on KVL
Mesh – a loop that does not contain any other loops in it.
Steps:
Assign mesh currents.
For each mesh, apply KVL. For Ohm’s Law, use mesh currents.
Net current in element is the a
Solve equations. Solve for variables of interest.

2. Ex. Find current in 8- resistor using mesh analysis.
Ans: 3 A

3. Find the current Io.
Ans: i1=2.25, i2=.75, i3=1.5, Io=1.5

4. Mesh Analysis with Current Sources
Case 1. Current source only in one mesh  mesh current must equal source.
Example

5. Case 2. Current source between two meshes
Express the two mesh current in terms of each other  net current to the current source is equal to the source.
By “inspection” or
By applying KCL
Apply KVL for the supermesh to “avoid” the current source.

6. Find the current in each resistor.

7. Nodal Analysis by Inspection

9. Mesh Analysis by Inspection

11. Set up all nodal equations by inspection.

12. Set up all mesh equations by inspection.