Millman’s Theorem
Millman’s Theorem :
This Theorem is a combination of Thevenin’s theorem and Norton’s theorem. It is used for finding the common voltage across any network which contains a number of parallel voltage sources as shown in Figure given below.
Then common voltage VAB which appears across the output terminals A and B is affected by the voltage sources E1, E2 and E3. The value of the voltage is given by
This voltage represents the Thevenin’s voltage Vth. The resistance Rth 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 load current IL is given by
IL = Vth/(Rth + RL)
(b) As Applicable to Current Sources
This theorem is applicable to a mixture of parallel voltage and current sources that are reduced to a single final equivalent source which is either a constant current source or a constant voltage source. This theorem can be stated as follows :
Any number of constant current sources which are directly connected in parallel can be converted into a single current source whose current is the algebraic sum of the individual source currents and whose total internal resistances equals the combined individual source resistances in parallel.
Read article – constant current source
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