Two-Dimensional Electrostatics

 

Chapter 11. The electrostatic potential [Graphics:e8.txtgr1.gif] in portion of the right half plane where
|z - 5| > 4 and [Graphics:e8.txtgr2.gif] has the boundary conditions
[Graphics:e8.txtgr3.gif]

The mapping [Graphics:e8.txtgr4.gif] is used to model the electric potential in a portion of the right half plane.

The electrostatic potential is found.

[Graphics:e8.txtgr6.gif][Graphics:e8.txtgr5.gif]

A graph for the solution is:

The mapping [Graphics:e8.txtgr4.gif] is used to model the electric potential in a portion of the right half plane.

 

 

Return to the Complex Analysis Project

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John Mathews, 1998, 2006