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Verification of Millman’s Theorem.
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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 ,

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 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 

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