ABSTRACT
In this chapter, the problem solving approaches developed in the book for 2D electrostatic problems are applied to other areas of physics. Although there are many areas of physics that obey Laplace's equation, the focus is limited to steady electric currents, magnetostatics, steady heat power flow, and steady fluid flow. A translation table for each of these areas to electrostatics is provided. Numerous examples are given for translating problems in each of these areas of physics into an electrostatic problem and then for translating the resulting electrostatic solution back into the desired area of physics. For example, if the capacitance of a region is known, then the equivalent resistance when ohmic material fills the same region can be obtained directly with minimal analysis using the methods of this chapter. The ability to translate problems and solutions between different areas of physics also allows electrostatic solutions to be obtained from other areas of physics. This is demonstrated by translating the circle theorem for fluid flow into a circle theorem for electrostatics.
