A DC line has a resistance of 0.8 ohms. A load of 10 KW is taken at far end, while at the midpoint a current at 14 ampere at 204 volt is taken. Please find the supply voltage.

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Maximum power transfer theorem

A resistive load will consume maximum power from a network when the load resistance is equal to the resistance of the network as viewed from the open-circuit terminals, with all energy sources removed leaving only the internal resistances. Physicist Moritz von Jacobi introduced the maximum power transfer theorem in 1940. Therefore, this theorem is also known as Jacobi's law.