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A Solution for the Electromagnetic Fields Close to a Lightning Discharge,
NATIONAL AERONAUTICS AND SPACE ADMINISTRATION GREENBELT MD GODDARD SPACE FLIGHT CENTER
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A solution is presented for the electromagnetic fields produced by a current pulse propagating along a filamentary path apropos of lightning return strokes. This solution includes the effects of charge transfer by the pulse. It is obtained following traditional procedures, but modifying the electric scalar potential to insure conservation of charge at the filaments ends, and employing a relativistically correct relationship between charge and current. Conventional solutions can be obtained from this solution by employing conservation of charge to rewrite it in terms of current only however, this form has computational advantages over other formulations very close to the channel. Author
APPROVED FOR PUBLIC RELEASE