The paper calculates the permissible current carrying capacity of a cable line with electrical protection made of copper wires and a cable line with homogeneous aluminum sheaths. The lines are laid in a flat contact arrangement directly in the ground. The calculations are based on the well-known IEC relation for the external thermal resistance of lines in a flat contact arrangement, as well as on a newly developed formula for external resistance that takes into account the distortion of the thermal field and the uneven distribution of losses in electrical protections, or sheaths. The influence of the application of both expressions on the permissible current carrying capacity is examined.