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Maximum Power Transfer Theorem | Maximum power transfer theorem
This theorem deals with the transfer of maximum power from a source to a load and can be stated as follows:
DC. In a circuit, maximum power is transferred from a source to a load when the load resistance is made equal to the internal resistance of the source as seen from the load terminals with the load removed and all e.m.f. The sources are replaced by their internal resistances.
Fig. 3.12 (i) A load RL Shows a circuit supplying power to. The circuit enclosed in the box can be replaced by a Thevenin equivalent circuit in which the Thevenin voltage E (= ETh), which contains Thevenin resistance Ri (= RTh) as shown in Fig. 3.12 (ii).
Clearly resistance Ri R between terminal ABL The resistance measured between the removed and emf is . The sources were replaced by their internal resistances. According to the maximum power transfer theorem, maximum power will be transferred from the circuit to the load when RLRi The Thevenin resistance at terminal AB is made equal to. The proof of this theorem is left as an exercise for the reader.
Note :– Under conditions of maximum power transfer, the efficiency is only 50% because half of the total power generated is the internal resistance R of the sourcei ends in.