Two-Dimensional Electrostatics

 

Chapter 11. The electrostatic potential [Graphics:e6.txtgr1.gif] in the crescent shaped region where
|z - 2| < 2 and |z - 1| > 1 and [Graphics:e6.txtgr2.gif] has the boundary conditions
[Graphics:e6.txtgr3.gif]

The mapping [Graphics:e6.txtgr4.gif] is used to model the electric potential in a crescent region.

The electrostatic potential is found.

[Graphics:e6.txtgr6.gif][Graphics:e6.txtgr5.gif]

A graph for the solution is:

The mapping [Graphics:e6.txtgr4.gif] is used to model the electric potential in a crescent region.

 

 

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(c) John Mathews, 1998, 2006