Two-Dimensional Electrostatics

 

Chapter 11. The electrostatic potential [Graphics:e10.txtgr1.gif] in the domain
where |z - 2| > 2 and |z| < 5 and [Graphics:e10.txtgr1.gif] has the boundary conditions
[Graphics:e10.txtgr3.gif]

The mapping [Graphics:e10.txtgr4.gif] is used to model the electric potential between non-concentric circles.

The electrostatic potential is found.

[Graphics:e10.txtgr6.gif][Graphics:e10.txtgr5.gif]

A graph for the solution is:

The mapping [Graphics:e10.txtgr4.gif] is used to model the electric potential between non-concentric circles.

 

 

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(c) John Mathews, 1998, 2006