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This paper presents the calculation of the electrical power transported bythe electromagnetic fields of two parallel wires carrying opposite DC currents.The Poynting vector is developed in bipolar coordinates and symbolicallyintegrated over different surfaces. For perfectly conducting wires, the purelylongitudinal power in the space surrounding the wires is shown to be equal tothat which is produced by the battery (and consumed by the load resistor). Forresistive wires, the longitudinal power transported by the fields is shown todiminish according to the distance traveled, and the loss is proved to be equalto the power entering the wires via the fields at their surfaces.

DC Power Transported by Two Infinite Parallel Wires