https://phys.org/news/2025-03-generate-electricity-earth-rotational-energy.htmlIf we're at the center of the earth in a fixed (non-rotating) inertial frame of reference, we see any conductor on the earth's surface crossing the earth's magnetic field with a speed depending on its latitude. The conductor's charges are therefore subject to the Lorentz force, and if the conductor is properly oriented, a voltage will develop along its length. However, this voltage causes a rearrangement of the charges and a new static configuration develops (extremely rapidly), cancelling out the electric field. If we carry out the analysis from the conductor's frame of reference, i.e. rotating with the earth, it's identical: we don't see the Lorentz force since v=0 in our own frame of reference, but we do see an electric field E equivalent to that VxB seen from the center of the earth, with the same consequence of charge redistribution preventing us from circulating current. After the well-known observation that no energy can be extracted from the Earth's magnetic field, the authors provide the key to getting around the problem, but I confess I'm having trouble following them. " The extremely rapid and continuously ongoing field cancellation within any conductor appears to make it impossible to use the ๐ฏร๐ force to generate electricity even for the m=0 components of Earth's field. However, Eq. (12) hides an implicit assumption that can be violated [2]. Since โxโ๐=0 always, Eq. (12) cannot be satisfied within a magnetically permeable object with a topology chosen to ensure โx(vxB)โ 0 (13) within the object. The inequality of Eq. (13) holds, for example, in the interior region ๐<๐<๐ of a magnetically permeable conducting cylindrical shell of inner and outer radii ๐ and ๐ (with ๐ the radial coordinate in a cylindrical coordinate system centered in the shell), and long axis perpendicular to ๐ฏ and ๐ (see Fig. 1)." Why? If anyone understands, please enlighten us. For me, this is incompatible with relativity, where it can only be in the frame of reference where we see both the field B and the velocity V of the charges, that we can recover their energy. In any case, with a 30 cm MnZn ferrite tube, they claim to produce a permanent voltage in the 15 ยตV range, eliminating possible temperature-related artifacts, and opening the door to possible scalability (otherwise, of course, the interest would remain purely theoretical).
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