The paper explains that the Gauss's law is a direct consequence of the law of conservation of energy. Based on the physical meaning of the Gauss's law, it becomes clear that the consequence of the Gauss's law for a field source with a spherically symmetric spatial distribution of its main characteristic (mass for the gravitational field and charge for an electric field) about the potential distribution of a vector field outside the field source, inside the volume the field source and in its concentric cavity, adopted in vector analysis, is incorrect.

vector field, physical field, Gauss's law, gravitation, electrostatics