Mesh analysis

Mesh analysis is based on Kirchhoff Voltage Law.  It uses the mesh currents as the circuit variables. we can use Mesh Analysis to find out the voltage, current or power through a particular element or elements.

Procedure for Mesh Analysis:

1. Identify all meshes of the circuit and Assign mesh currents and label polarities.



for example above circuit has two meshes. mesh 1 is assigned with current I₁ and mesh 2 is assigned with current I2. 

2. Apply KVL at each mesh and express the voltages in terms of the mesh currents.

In the above circuit by applying Kirchhoff's laws we have

Equation No 1 :    10 =  50I₁ + 40I₂

Equation No 2 :    20 =  40I₁ + 60I₂

3. Solve the resulting simultaneous equations for the mesh currents.

We now have two “Simultaneous Equations” that can be reduced to give us the values     of I₁ and I₂ .