MESH ANALYSIS

A mesh is a loop that does not contain other loop within it. It applies KVL to find the unknown currents and only applicable to a circuit that is a planar.

• Planar Circuit- is one that can be drawn in a with no branches crossing one another.

• Non Planar Circuit- can be handled using nodal analysis, but they will not be considered in this text.

Steps to determine mesh currents:

1. Assign mesh currents to the n meshes
2. Apply KVL to each of the n meshes. Use ohm's law to express the voltages in terms of the mesh currents.
3. Solve the resulting n simultaneous equations to get the mesh currents.

Mesh Analysis with Current Sources 

• Case 1: When a current source exists only in one mesh. Set the mesh current is equal to the the current source.

• Case 2: When a current source is exists between two meshes it will form a Super Mesh. Super mesh, created by excluding the current.

Properties of a Super Mesh:

1. Current source in the super mesh provides the constraint equation necessary to solve for the mesh currents.
2. A super mesh has no current of its own,
3. A super mesh requires the application of KVL and KCL.