Chapter 7: Conduction and electroquasistatic charge relaxation

author: Markus Zahn, Center for Future Civic Media, Massachusetts Institute of Technology, MIT
recorded by: Massachusetts Institute of Technology, MIT
published: Oct. 10, 2008,   recorded: September 2005,   views: 3657
released under terms of: Creative Commons Attribution Non-Commercial Share Alike (CC-BY-NC-SA)

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Part 1: 7.5.1: Distribution of unpaired charge (Courtesy of Education Development Center, Inc. Used with permission.) 02:13
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Part 2: 7.5.2: Rotation of an insulating rod in a steady current (Courtesy of Education Development Center, Inc. Used with permission.) 04:45
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Part 3: 7.7.1: Relaxation of charge on particle in Ohmic conductor (Courtesy of Education Development Center, Inc. Used with permission.) Supplement: Van de Graaff and Kelvin generators (Courtesy of Education 09:57
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Part 4: 7.7.2: Electrostatic precipitation 06:05
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Part 5: 7.7.1 Supplement: Van de Graaff and Kelvin generators (Courtesy of Education Development Center, Inc. Used with permission.) 07:17


7.0 Introduction

7.1 Conduction constitutive laws

  • Ohmic conduction
  • Unipolar conduction

7.2 Steady Ohmic conduction

  • Continuity conditions
  • Conductance
  • Qualitative view of fields in conductors

7.3 Distributed current sources and associated fields

  • Distributed current source singularities
  • Fields associated with current source singularities
  • Method of images

7.4 Superposition and uniqueness of steady conduction solutions

  • Superposition to satisfy boundary conditions
  • The conductance matrix
  • Uniqueness

7.5 Steady currents in piece-wise uniform conductors

  • Analogy to fields in linear dielectrics
  • Inside-outside approximations

7.6 Conduction analogs

  • Mapping fields that satisfy Laplace's equation

7.7 Charge relaxation in uniform conductors

  • Net charge on bodies immersed in uniform materials

7.8 Electroquasistatic conduction laws for inhomogeneous material

  • Evolution of unpaired charge density
  • Electroquasistatic potential distribution
  • Uniqueness

7.9 Charge relaxation in uniform and piece-wise uniform systems

  • Fields in regions having uniform properties
  • Continuity conditions in piece-wise uniform systems
  • Nonuniform fields in piece-wise uniform systems

7.10 Summary

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