RES.6-001 | Spring 2008 |
Electromagnetic Fields and Energy

Chapter 5

Chapter 5: Electroquasistatic fields from the boundary value point of view (PDF)

5.0 Introduction 
5.1 Particular and homogeneous solutions to Poisson’s and Laplace’s equations

  • Superposition to satisfy boundary conditions
  • Capacitance matrix

5.2 Uniqueness of solutions of Poisson’s equation 
5.3 Continuity conditions 
5.4 Solutions to Laplace’s equation in Cartesian coordinates 
5.5 Modal expansions to satisfy boundary conditions 
5.6 Solutions to Poisson’s equation with boundary conditions 
5.7 Solutions to Laplace’s equation in polar coordinates 
5.8 Examples in polar coordinates

  • Simple solutions
  • Azimuthal modes
  • Radial modes

5.9 Three solutions to Laplace’s equation in spherical coordinates 
5.10 Three-dimensional solutions to Laplace’s equation

  • Cartesian coordinate product solutions
  • Modal expansion in Cartesian coordinates
  • Modal expansion in other coordinates

5.11 Summary

DEMONSTRATION TOPICS VIDEOS - 
SHORT FORM
VIDEOS - 
LONG FORM
5.5.1: Capacitance attenuator Chapter 5.5.1: Capacitance Attenuator (demo only) Chapter 5.5.1: Capacitance Attenuator

Course Info
As Taught In
Spring 2008
Level
Learning Resource Types
menu_book Online Textbook
theaters Lecture Videos
assignment_turned_in Problem Sets with Solutions