Yu.S. Legovich, Yu.V. Maximov, D.Yu. Maximov

In this work the decision of considered task is based on a point charge field determination in a closed area between concentric conducting spheres on the assumption of unconditioned charge disposition and null potential of external sphere. The point charge field structure in this area is equivalent to the structure of field, exciting by special shell, when the shell form coincides with a correspondent equipotential surface form that, if is small, is close to spherical. The method of images of the charges under formation of spherical surfaces is used during the point charge field determination in this area. In concordance with the method both spheres are substituted for infinite series of point charges-images, dispositions and values of which are obtained by known rules thereby, that these charges field have two spherical equipotentional surfaces of given radii. In PC computation is considered the finite number of charges-images but so big that the further number increase didn-t have an influence on results. Expressions of reflected by spheres charges values and their distances from the center are given. Obtained charges system is amplified with the charge in the center its image by external sphere. The value of this charge depends on the charges of both spheres. The situation, when these spheres are charged with opposite sign to shell charge is considered. The superposition principle for obtained system of real charge and its images permits to compute summary field equipotentional surfaces dispositions and forms as well the potential of internal surface (under null potential of external one). Also the form and potential of given size some surface around the point charge corresponding to shell excitation. As example the results of field equipotentional surfaces excited by point charge or some shell in a global spherical condenser are given. Global means that the radius of internal sphere equal to the radius of Earth and the radius of external one - to the Earth ionosphere-s radius. As a result two zones in field structure are revealed. One of them is the exciting area with the field force lines in it that partly finished in external sphere when the internal one is charged with opposite sign (or in internal sphere when the external one is charged with opposite sign). In another area the force lines of exciting field connect only the charges located at the condenser-s spheres. In example is demonstrated how to determine shell excitation capacities on internal and external spheres by the computed potential values.