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Power Over Ethernet Interoperability Guide by Sanjaya Maniktala

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Impedance Matching for Maximum Power Delivery
With reference to Fig. 13.5:
image
image
FIGURE 13.5   Maximizing power delivery.
•  If R is infinite, current is zero, therefore no power is transferred out of the battery and none into R either (since the current through R is zero). No power into load.
•  If R is 0 Ω, and we somehow pull out 2 A out of the battery, we will get 50 V × 2 A = 100 W out of the battery (max value). Yet none of it gets delivered into R, since R is zero and so the voltage across it is also zero. No power into load.
This is ...

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