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Gauss the theorem

the theorem of electrostatics, proposed k. By Gauss and the establishing connection of the flow of the strength E of the elec. field through the closed surface with the magnitude of the charge q, which is been located inside this surface. By vector flux E through the element of surface

NAZ the work of the value of this element and projection En_i of vector E on the normal to

flow N through the closed surface of S is equal to the sum of the flows through all elements of surface. In the abs. system of the units of Gauss (CGS)

G. T. follows from Coulomb law - the law of interaction of fixed point charges in the vacuum.

In the dielectric g. T. it is valid for the vector flux of the elec. induction D:

(2)

where q - summary free charge inside surface of S. Formula (2) is integral form of one of Maxwell's equations for the electromagnetic field (see electrodynamics) and it expresses the fact that the elec. charges are the sources of elec. field. G. 4. Myakishev.