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Two antenna capacitance problems a re solved in this paper. The motivating problem was to determine the capacitance of a biconical antenna of circular cross section immersed in a magneto-ionic medium. This is solved by reducing it to the secondary problem of determining the capacitance of a biconical antenna of elliptic cross section in an isotropic medium. The latter is solved using the sphero-conal coordinate system.

Capacitance of biconical antennas in magneto-ionic media; elliptic cone capacitance