Maximum Power Transfer Theorem for DC circuits

Maximum power transfer theorem is used to find the value of load resistance for which there would be maximum amount of power transfer from source to load.


Maximum power transfer theorem is stated as “ a resistive load, connected to a dc network, receives maximum power when the load resistance is equal to the internal resistance of the source network when seen from the load terminals”.

Maximum power transfer theorem for DC circuits proof :-

Let a variable resistance RL be connected to a dc network as shown.

maximum power transfer theorem

Here our aim is to find the value of RL for which it receives maximum power from the dc source.


From the figure
maximum power transfer theorem

While the power delivered to resistive load is
maximum power transfer theorem


Here, since only RL is variable, therefore, PL  can be made maximum by varying RL
∴ maximum power can be delivered when   
maximum power transfer theorem
maximum power transfer theorem
Hence, it has been proved that power transfer from a dc source network to a resistive network is maximum when the internal resistance of the dc source network is equal to the load resistance.


What is the value of maximum power transfered ?

maximum power transfer theorem


What will be the efficiency at the time of maximum power transfer ?

maximum power transfer theorem efficiency

The maximum power transfer theorem has wide application in communication circuits and a transformer is used many times to match source impedance to load impedance.   




The above concept of maximum power transfer theorem can be extended to ac circuits. How will load impedance become equal to source impedance ?

by making the load impedance the complex conjugate of the source, right  ?  read Maximum power transfer theorem for AC


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