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.
Let us assume a load RL be connected to a dc source network whose thevenin's equivalent gives Vo as the Thevenin's voltage and RTh 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 RL 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.