Abstract
The problem of streamline current flow in an anisotropic medium with an ellipsoidally shaped macroscopic inclusion having a conductivity tensor different from that of the medium is solved. The solution obtained allowed us to find an expression for the effective conductivity tensor of the anisotropic medium with anisotropic ellipsoidal inclusions in a magnetic field. The problem of the effective values of the magnetoresistance coefficients of a medium with spherical dielectric inclusions is examined as a special case of the application of the general formula. It is shown how one may analyze galvanomagnetic effects in composites with the aid of the results obtained.
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