Three-dimensional solution of electrostatic fields within a particular system of annular cylinders

• Main Author: Wagenaar, Loren B.
• Other Authors: Lee, Norman K.
• Format: Others
• Published: 2011
• Subjects: Electrostatics.; Cylinders.; Bessel functions.; Fourier series.
• Online Access: http://cardinalscholar.bsu.edu/handle/handle/180696; http://liblink.bsu.edu/uhtbin/catkey/417047

A mathematical method is developed for the analysis of the electrostatic fields existing within finite, three-dimensional, cylindrically shaped regions which do not contain the axis of revolution. The derived method defines the potential field within such a region provided that the potentials are known at the boundaries, that the insulating media has homogeneous, linear, and isotropic characteristics, and that the region is charge free. The general solution for the potential field involves forms of both the Fourier and the Fourier Bessel series, and the resulting series solution is shown to be uniformly convergent . It is also shoran that this potential field series solution can be integrated and differentiated to yield series solutions for electric fiend and capacitance and that these solutions are also uniformly convergent.