Objective: Verification of Millman's Theorem
This theorem is a combination of Thevenin's and Norton's theorems. When a number of voltage source (V1,V2,...,Vn) are in parallel having internal resistances (R1,R2,...,Rn) respectively, the arrangement can be replaced by a single equivalent voltage source V in series with an equivalent series resistance R as given below Fig. 1 and Fig 2.
Fig.1. A number of voltage source fading power to a load.
Fig. 2. Equivalent voltage and resistance of the source network following millman theorem.
As per Millman's Theorem ,
This voltage represents the thevenin's voltage V. The resistance R can be found , as usual , by replacing each voltage source by a short circuit. If there is a load resistance RL across the terminals A and B , then the load current IL is given by