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## Homework Statement

Develop the mesh-current matrix equation for the circuit.

http://i.imgur.com/tvZA0.png

## Homework Equations

Ʃ[itex]V_{n}[/itex] = 0

## The Attempt at a Solution

I used Mesh current analysis to find 4 equations, but the equations for the first and second mesh are not related to the 4th. If I make a matrix equation out of these equations I won't get the right answer.

50I1 - 20I2 - 20 I3 + 0I4 = 12

-20I1 + 50I2 - 40I3 +0I4 = 0

-20I1 - 20I2 +50I3 - 10I4 = 0

0I1 + 0I2 - 10I3 + 50I4 = 0

The textbook I'm using has a procedure for using Mesh Current:

Step 1: identify all meshes and assign each of them an unknown mesh current. For convenience, define the mesh currents to be clockwise in direction.

Step 2: Apply Kirchoff's voltage law to each mesh.

Step 3: Solve the resultant simultaneous equations to determine the mesh currents.

The examples in the book only have a maximum of 3 meshes and they always are touching. I'm not sure what to do in this situation.