MAXWELL’S LOOP CURRENT METHOD (MESH ANALYSIS)

MAXWELL’S LOOP CURRENT METHOD

Statement:-

This method determines branch currents and voltages across the
elements of a network.

Method:-

  1. Here, instead of taking branch currents (as in Kirchoff’s law) loop currents are taken which are assumed to flow in the clockwise direction.

  2. Branch currents can be found in terms of loop currents

  3. Sign conventions for the IR drops and battery emfs are the same as for Kirchoff’s law.

  4. This method is easier if all the sources are given as voltage sources. If there is a current source present in a network then convert it into equivalent voltage source.

Explanation:-

Consider a network as shown in Fig. below. It contains two meshes. Let I1 and
I2 are the mesh currents of two meshes directed in clockwise.

MAXWELL’S LOOP CURRENT METHOD

When we consider mesh-1, the current I1 is greater than I2. So, current through
R3 is I1-I2. Similarly, when we consider mesh-2, the current I2 is greater than I1.
So, current through R3 is I2 – I1.

Example:

Find I1, I2 and I3 in the network shown in Fig below using loop
current method

Solution:-

For mesh ABCDA,

 

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