The paper formulates the nonlinear problem of steady-state heat
conduction at the constant electric potential difference on the surfaces
of a plane dielectric layer with the temperature-dependent heat
conduction coefficient and electrical resistivity. A fixed temperature
value is set on one of the layer surfaces, and the convective heat
exchange with the ambient medium occurs on the opposite surface. The
formulation of the problem is transformed into integral ratios, which
allows the calculation of the temperature distribution over the layer
thickness, governed both by the monotonic and nonmonotonic function. The
quantitative assay of the temperature state of a layer of a polymer
dielectric made of amorphous polycarbonate is given as an example, as
well as the analysis of nonuniformity of the absolute value of electric
field intensity over the thickness of this layer.