1. Lecture 02 -Mesh Current Analysis
E E 2415
Lecture 02 -Mesh Current Analysis

2. Introduction to Mesh Current Method
More direct than branch equations
Fewer equations to solve
Express all variables in terms of mesh currents
Solution is set of mesh currents
Solution completely defines the circuit
Most Convenient Method to Model Magnetic Coupling (E E 2446 Topic)

3. Mesh Current Example 1 (1/2)
KVL at Mesh 1:
KVL at Mesh 2:
Using Ohm’s Law:

4. Mesh Current Example 1 (2/2)
Above linear equations can be solved for
mesh currents I1 and I2.

5. Mesh Current Example 1a (1/2)
KVL at Mesh 1:
KVL at Mesh 2:
Solve:

6. Mesh Current Example 2 (1/2)
Mesh 1:
Mesh 2:
But:

7. Mesh Current Example 2 (2/2)
Solve for I1
and I2:

8. Mesh Current Example 2a (1/2)
Mesh 1:
Mesh 2:
But:

9. Mesh Current Example 2a (2/2)
Solve for I1
and I2:

10. Forced Mesh (1/2) No KVL equation possible for mesh 2
But I2 is known: I2 = Is

11. Forced Mesh (2/2)
KVL for mesh 1:
Substitute and Solve:

12. Forced Mesh Example 3a
KVL for mesh 1:
Substitute and Solve:

13. Supermesh Example (1/5) No KVL possible for meshes 1 or 2
Use Supermesh (dotted loop) for KVL

14. Supermesh Example (2/5)
Supermesh KVL:
Mesh 3 KVL:

15. Supermesh Example (3/5)
Also:
Subst for I2:

16. Supermesh Example (4/5)
And:
Rearranging the equations:

17. Supermesh Example (5/5)

18. Supermesh with Numbers (1/3)

19. Supermesh with Numbers (2/3)

20. Supermesh with Numbers (3/3)