Exact Solution for a Consistent Model of a Charged Spherical Conductor

Abstract

Classical engineering models of electricity carry an essential physical drawback-namely, they explicitly assume that the electronic liquid has unlimited compressibility. This results in electric charges accumulating at the boundaries of the conductor, and 3-D density reaching infinitely large values. In our recent publications, we suggested to fix to this drawback by assuming that the compressibility is finite. In this report, we consider the special case of a spherical conductor permitting the exact analytical solution for our model of conductor. The result is to be used for validation and verification of Alegra code in the area of electromagnetic armor.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2021
Accession Number
AD1125393

Entities

People

  • Michael Grinfeld
  • Pavel Grinfeld

Organizations

  • United States Army

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Availability
  • Boundaries
  • Buildings And Structures
  • Charge Density
  • Classification
  • Computer Programs
  • Contracts
  • Department Of Defense
  • Differential Equations
  • Electric Charge
  • Electric Current
  • Electrical Engineering
  • Electrostatics
  • Engineering
  • Equations
  • Graphs
  • Linear Algebra
  • Mathematics
  • Military Research
  • Monitoring
  • Security
  • Standards
  • Validation
  • Variational Methods
  • Verification
  • Voltage

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Plasma Physics / Magnetohydrodynamics
  • Systems Analysis and Design

Technology Areas

  • Microelectronics