• BME 210
• # Handout 2: Mesh Analysis

## Mesh analysis

1. Determine if the circuit is a planar circuit.
2. Count the number of meshes ($$M$$).
3. Label each of the $$M$$ mesh currents.
4. Write a KVL equation around each mesh.
5. Express any additional unknowns such as voltages or currents other than mesh currents in terms of appropriate mesh currents.
6. Organize the equations.
7. Solve the system of equations for the mesh currents ($$M$$ of them).

## Supermesh analysis

1. Determine if the circuit is a planar circuit.
2. Count the number of meshes ($$M$$).
3. Label each of the $$M$$ mesh currents.
4. If the circuit contains current sources shared by two meshes, form a supermesh to enclose both meshes.
5. Write a KVL equation around each mesh/supermesh.
6. Relate the current flowing from each current source to mesh currents.
7. Express any additional unknowns such as voltages or currents other than mesh currents in terms of appropriate mesh currents.
8. Organize the equations.
9. Solve the system of equations for the mesh currents ($$M$$ of them).

Last updated:
January 6, 2018