On the Calculation of the Magnitude of Induced Charges and the Electrostatic Dipole of an Oblate Spheroid with an Axis of Symmetry Collinear to an External Homogeneous Electrostatic Field

Abstract

UDC 532.59:534.1

https://doi.org/10.52577/eom.2023.59.25

The values of the surface induced charges, the positions of their centers and the value of the equivalent dipole of an oblate conducting spheroid are determined by transition from spheroidal coordinates to a spherical system of coordinates in the analytical asymptotic calculations of the first order of smallness with respect to the squared eccentricity. The characteristics of the equivalent dipole are obtained depending on the value of the electrostatic field strength, squared eccentricity, and the radius of an equal sphere.

Keywords: oblate spheroidal drop, electrostatic field, electrostatic potential, centers of induced charges, dipole.