1. Lecture 9 Review: Constrained loops Additional mesh analysis examples
Related educational modules:
Sections 1.6.2

2. Review: Mesh Analysis Choose mesh loops and identify mesh currents
Kill sources
Identify enclosed, non-overlapping areas in circuit
Circuit elements bounding these areas form mesh loops
Mesh currents flow around the mesh loops
Replace sources, identify constrained loops
Apply KVL around mesh loops
Use Ohm’s Law to write KVL in terms of mesh currents
Solve equations to determine the mesh currents
Use mesh current to determine desired parameters

3. Constrained Loops Constrained loops go through current sources
They identify known currents in the circuit
Constrained loops are somewhat arbitrary, but:
Each current source creates a constrained loop
The direction and magnitude of the constrained loop must be consistent with the source through which it passes

4. Mesh Analysis – Example 1
Use mesh analysis to determine the current i4

5. Example 1 – continued

6. Example 1 – alternate constraint loops

7. Example 1 – more alternate constraint loops

8. Mesh analysis – example 2
Determine i10, the current through the 10 resistor

9. Example 2 – alternate approach

10. Mesh analysis – example 3
Use mesh analysis to determine the current i

11. Example 3 – continued

12. Mesh analysis – example 4
Use mesh analysis to determine the current i10

13. Example 4 – continued