Chapter 4: Electroquasistatic fields: the superposition integral point of view

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: 4148
released under terms of: Creative Commons Attribution Non-Commercial Share Alike (CC-BY-NC-SA)

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Description

4.0 Introduction 4.1 Irrotational field represented by scalar potential: the gradient operator and the gradient integral theorem

  • Visualization of two-dimensional irrotational fields

4.2 Poisson's equation 4.3 Superposition principle 4.4 Fields associated with charge singularities

  • Dipole at the origin
  • Pair of charges at infinity having equal magnitude and opposite sign
  • Other charge singularities

4.5 Solution of Poisson's equation for specified charge distributions

  • Superposition integral for surface charge density
  • Superposition integral for line charge density
  • Two-dimensional charge and field distributions
  • Potential of uniform dipole layer.

4.6 Electroquasistatic fields in the presence of perfect conductors

  • Capacitance

4.7 Method of images

4.8 Charge simulation approach to boundary value problems

4.9 Summary

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