Example 11.19. Find in the region between
the two infinite coaxial cylinders r = a and r = b, which are kept at potentials and ,
respectively. For an illustration we will use the boundary values:


Solution: Use the mapping

The electrical potential is:

A graph for the solution is:

The mapping w = log(z) is used to model the electric potential in a coaxial cylinder.

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(c) John Mathews, 1998, 2006