ON THE THEORY OF THE ATMOSPHERIC ELECTRIC CURRENT FLOW. IV

Abstract

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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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1963
Accession Number
AD0423619

Entities

People

  • Heinz W. Kasemir

Organizations

  • United States Army Communications-Electronics Command

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Biomedical
  • Counter WMD
  • Materials and Manufacturing Processes
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Atmospheric Electricity
  • Atmospheric Physics
  • Atmospheric Sciences
  • Coordinate Systems
  • Differential Equations
  • Electric Fields
  • Electricity
  • Electrostatic Fields
  • Equations
  • Geography
  • Measuring Instruments
  • Military Research
  • New Jersey
  • Telluric Currents
  • United States

Fields of Study

  • Physics

Readers

  • Fluid Dynamics.
  • Plasma Physics.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space
  • Space - Hall-Effect Thruster