Homogeneity Principle:

It is the principle obeyed by all the linear networks

Definition:

In a linear network, if the excitation is multiplied with a constant ‘K’, then the responses in all other branches of the network are also multiplied with the same constant K.

Example :

Find all branch currents if source voltage is increased to 60 volts in the circuit below.

Solution:

First calculating the current in each branch.

So here, the excitation is multiplied by ‘3’ and hence the responses are also proportionally multiplied by ‘3’.

Note:

When multiple sources are present, Superposition theorem to be applied first and later Homogeneity principle i.e., whenever Homogeneity principle is to be applied always ensure only one source in the network.

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