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ON THE THEORY OF THE ATMOSPHERIC ELECTRIC CURRENT FLOW. IV
ARMY ELECTRONICS LABS FORT MONMOUTH NJ
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Starting from the differential equation of the continuity of the current flow, a general solution is given for problems in which the conductivity is given as a function of space and time. A physical interpretation for the complete Maxwell current is obtained, and it is shown how the Maxwell current can be composed of two field vectors, namely, that of the electrostatic field and of the stationary current flow. Each vector is weighted by a different time function, which can be calculated from the time function of the current source. A method is developed for the calculation of the stationary current flow field and the eigen functions for cartesian, cylindrical, and polar coordinates are given. The mirror law for the current flow is determined in a medium where the conductivity increases with altitude according to an e-function. The mathematical formalism is explained, using the example of the field of a decaying point source.
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