The problem of finding the spatial distribution of the electric field in the classical electrode layer in the presence of heterogeneity of the Earth's surface (electrode) in the shape of an ellipsoid has been solved. It is shown that this problem reduces to the external Dirichlet problem for the Laplace equation with respect to the electric field potential in an ellipsoid. The dependence of the electric field strength distribution on the ratio of the sizes of inhomogeneities on the Earth's surface has been established. The continuity of the transition from the problem for a flat electrode to the problems for an electrode with spherical and ellipsoidal inhomogeneity is shown. The results obtained can be used in the interpretation of data from atmospheric-electrical observations conducted in conditions of heterogeneous relief of the Earth's surface, in particular, when evaluating distortions of the measured electric field by the meters and structures themselves. The proposed approach to the construction of the electric field strength distribution reflects the geometric characteristics of the surface layer and does not depend on the presence of additional local factors (such as the influence of turbulent or convective ion transport), therefore it is universal in relation to the type of stratification of the surface layer of the atmosphere.
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