On the flow of electric current in semi-infinite stratified media | Zendy

Louis Vessot King | Zendy

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On the flow of electric current in semi-infinite stratified media

Author(s) -

Louis Vessot King

Publication year - 1933

Publication title -

proceedings of the royal society of london series a containing papers of a mathematical and physical character

Language(s) - English

Resource type - Journals

eISSN - 2053-9150

pISSN - 0950-1207

DOI - 10.1098/rspa.1933.0016

Subject(s) - equipotential , equipotential surface , mechanics , stratification (seeds) , current (fluid) , electrode , point (geometry) , flow (mathematics) , surface (topology) , electrical conductor , thermal conduction , electric potential , stratified flow , mathematical analysis , materials science , mathematics , geometry , physics , electrical engineering , voltage , thermodynamics , engineering , composite material , turbulence , seed dormancy , germination , botany , quantum mechanics , dormancy , biology

We suppose a semi-infinite medium to be built up of layers in each of which the electrical conductivity is finite. Direct current is introduced at a point electrode on the free surface and flows to a second electrode at a given distance away. It is obvious that the stream-lines and equipotentials accessible to measurements on the free surface will depend on the conductivities, depths and thicknesses of the strata. The problem dealt with in the present paper is to build up a theory of electrical conduction in stratified media which will enable the nature of the stratification to be deduced from measurements of surface potential gradients. From the mathematical point of view, it is sufficient to obtain a solution for a single electrode from which current flows symmetrically to infinity. When the surface potential has been obtained for this simplified problem, the potential distribution for flow between several electrodes is found by addition.

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