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# E E 1205 - PowerPoint PPT Presentation

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

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### E E 1205

Lecture 08 -Mesh Current Analysis

• 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)

KVL at Mesh 1:

KVL at Mesh 2:

Using Ohm’s Law:

Above linear equations can be solved for

mesh currents I1 and I2.

KVL at Mesh 1:

KVL at Mesh 2:

Solve:

• No KVL equation possible for mesh 2

• But I2 is known: I2 = Is

KVL for mesh 1:

Substitute and Solve:

KVL for mesh 1:

Substitute and Solve:

• No KVL possible for meshes 1 or 2

• Use Supermesh (dotted loop) for KVL

Supermesh KVL:

Mesh 3 KVL:

Also:

Subst for I2:

And:

Rearranging the equations: