E E 1205 Lecture 08 -Mesh Current Analysis. Introduction to Mesh Current Method More direct than branch equations Fewer equations to solve Express all.

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E E 1205 Lecture 08 -Mesh Current Analysis

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)

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

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

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

Forced Mesh (1/2) No KVL equation possible for mesh 2 But I 2 is known: I 2 = I s

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

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

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

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

Supermesh Example (3/5) Also: Subst for I 2 :

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

Supermesh Example (5/5)

Supermesh with Numbers (1/3)

Supermesh with Numbers (2/3)

Supermesh with Numbers (3/3)