what are the applications of maximum power transfer theorem?
The name show application,so you have a source with limit energy and wants to transfer the energy to load with minimum waste and then maximum energy or power.
Maximum power Transform is the theorem that has got its application for the transfer from the source to destination with very little loss. You may have calculate the impedance or the equivalent resistance there in some circuit. If the another circuit which you are connecting it to the first one have the same input impedance maximum power will be transferred. This theorem get application in many communication devices antenna signal transmission , coaxial signal transmission etc there you need input and output impedance matched for the maximum signal transferred with very low loss.
to obtain maximum power at the load with a minimum loss...
Let's add that if the line length is comparable to the wave length then when the load has the same impedance of the line and of the source then there aren't reflected signals and VSWR = 1
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