. . . Verification of Compensation Theorem . . 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 $\Delta{R}$, the currents in all the branches would change and can be obtained by assuming that an ideal voltage source of $V_c$ has been connected such that $V_c=I{\Delta{R}}$ in series with $(R+{\Delta{R}})$ when all other sources in the network are replaced by their internal resistances.  Explanation : 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.  $I = \frac{ V_0}{R_T_h+R_L} .....(1)$ 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  $(R_L+{\Delta{R_L}})$. Since the rest of the circuit remains unchanged, the Thevenin equivalent network remains the same. $I {^'}= \frac{ V_0}{R_T_h+R_L+{\Delta{R_L}}}.....(2)$ This Change of current being termed as $\Delta{I}$, we find  $\Delta{I}=I{^'}-I\\$ $= \frac{ V_0}{R_T_h+R_L+{\Delta{R_L}}} - \frac{ V_0}{R_T_h+R_L}.$ $=\frac{ V_0}{R_T_h+R_L} \frac{-\Delta R_L}{R_T_h+R_L+{\Delta{R_L}}}$ $= \frac{- V_c}{R_T_h+R_L+{\Delta{R_L}}}.....(3)$ $V_c=I{\Delta R_L}$. and is termed as compensating voltage. Cite this Simulator:iitkgp.vlab.co.in,. (2014). Verification of Compensation Theorem. Retrieved 23 January 2018, from iitkgp.vlab.co.in/?sub=39&brch=124&sim=1659&cnt=1 ..... ..... .....