Charged Spheroid in Cylinder

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Abstract
The problem of a charged conducting spheroid within a coaxial conducting cylinder is solved by a slight variation of the method in J. Appl. Phys. 31, 553 (1960). Errors in the terminal digits of Table I in that paper have been corrected and the table extended. The charge density on the spheroid, the potential between it and the cylinder, and its capacitance are given for ratios of the spheroid equatorial radius to cylinder radius of 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9, and 0.95. Tables give numerical results for five cases: the disk, the oblate spheroid with 2 to 1 axial ratio, the sphere, and the prolate spheroid with axial ratio 1 to 2. The thin prolate spheroid requires special treatment.

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