Objective: To verify the Compensation Theorem.

In a linear time invariant network when the resistance (R) of an uncoupled branch, carrying current (I), is changed by , the currents in all the branches would change and can be obtained by assuming that an ideal voltage source of has been connected such that in series with when all other sources in the network are replaced by their internal resistances.

Explanation :

Let us assume a load R_{L} be connected to a dc source network whose thevenin's equivalent gives V_{o} as the Thevenin's voltage and R_{Th} as Thevenin resistance.

Fig. 1. Thevenin Equivalent Circuit.

Fig.2 (a) . Explanation of Compensation theorem

Fig.2 (b) . Explanation of Compensation theorem

Let the load resistance R_{L} be changed to . Since the rest of the circuit remains unchanged, the Thevenin equivalent network remains the same.

This Change of current being termed as , we find

. and is termed as compensating voltage.