Consideration is given to the problem of a solid conducting heat and electrical currents in the presence of externally applied magnetic fields. Interactions due to the thermoelectric, thermomagnetic, and galvanomagnetic effects are taken into consideration. The general three-dimensional governing equations are established. The generalized Ohm’s law and Fourier’s law of heat conduction as formulated by the methods of nonequilibrium (irreversible) thermodynamics are employed. The governing equations are used for the analysis of a one-dimensional steady-state case, assuming constant thermophysical properties. The variations of temperature, electric field, magnetic field, and electric and thermal current densities are presented analytically and graphically. The second law of thermodynamics imposes certain limitations on the validity of the results. These limitations are discussed in detail.

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