Supermesh Analysis

Supermesh Analysis:

Suppose any of the branches in the network has a current source, then it is slightly difficult to apply mesh analysis straight forward because first we should assume an unknown voltage across the current source, writing mesh equations as before, and then relate the source current to the assigned mesh currents. This is generally a difficult approach. One way to overcome this difficulty is by applying the Supermesh Analysis. Here we have to choose the kind of supermesh. A supermesh is constituted by two adjacent loops that have a common current source. As an example, consider the network shown in Fig. 2.32.

Here, the current source / is in the common boundary for the two meshes 1 and 2. This current source creates a supermesh, which is nothing but a combination of meshes 1 and 2.

Supermesh Analysis

Supermesh Analysis

Considering mesh 3, we have

Supermesh Analysis

Finally, the current / from current source is equal to the difference between two mesh currents, i.e.

Supermesh Analysis

We have, thus, formed three mesh equations which we can solve for the three unknown currents in the network.

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