#Electric flux equation free

The net electric flux through any hypothetical closed surface is equal to 1 Оµ 0 and do not match each other. 7.2 Deriving Coulomb's law from Gauss's law.7.1 Deriving Gauss's law from Coulomb's law.

#Electric flux equation free

4 Equivalence of total and free charge statements.2.3 Equivalence of integral and differential forms.Gauss's law can be used to derive Coulomb's law, and vice versa. It is one of Maxwell's four equations, which forms the basis of classical electrodynamics. The law was first formulated by Joseph-Louis Lagrange in 1773, followed by Carl Friedrich Gauss in 1835, both in the context of the attraction of ellipsoids. Where no such symmetry exists, Gauss's law can be used in its differential form, which states that the divergence of the electric field is proportional to the local density of charge.

Even though the law alone is insufficient to determine the electric field across a surface enclosing any charge distribution, this may be possible in cases where symmetry mandates uniformity of the field. In its integral form, it states that the flux of the electric field out of an arbitrary closed surface is proportional to the electric charge enclosed by the surface, irrespective of how that charge is distributed. In physics and electromagnetism, Gauss's law, also known as Gauss's flux theorem, (or sometimes simply called Gauss's theorem) is a law relating the distribution of electric charge to the resulting electric field. Here, the electric field outside ( r> R) and inside ( r< R) of a charged sphere is being calculated (see Wikiversity). The electric flux is then a simple product of the surface area and the strength of the electric field, and is proportional to the total charge enclosed by the surface. Gauss's law in its integral form is most useful when, by symmetry reasons, a closed surface (GS) can be found along which the electric field is uniform.