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

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dc.contributor.advisor Lee, Norman K. en_US
dc.contributor.author Wagenaar, Loren B., 1943- en_US
dc.date.accessioned 2011-06-03T19:31:01Z
dc.date.available 2011-06-03T19:31:01Z
dc.date.created 1973 en_US
dc.date.issued 1973
dc.identifier LD2489.Z78 1973 .W34 en_US
dc.identifier.uri http://cardinalscholar.bsu.edu/handle/handle/180696
dc.description.abstract 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.
dc.format.extent iii, 92 leaves : ill. ; 28 cm. en_US
dc.source Virtual Press en_US
dc.subject.lcsh Electrostatics. en_US
dc.subject.lcsh Cylinders. en_US
dc.subject.lcsh Bessel functions. en_US
dc.subject.lcsh Fourier series. en_US
dc.title Three-dimensional solution of electrostatic fields within a particular system of annular cylinders en_US
dc.description.degree Thesis (M.S.)
dc.identifier.cardcat-url http://liblink.bsu.edu/catkey/417047 en_US


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  • Master's Theses [5510]
    Master's theses submitted to the Graduate School by Ball State University master's degree candidates in partial fulfillment of degree requirements.

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