![]() The closed surface is also referred to as Gaussian surface. The net electric flux through any hypothetical closed surface is equal to 1/ ε 0 times the net electric charge enclosed within that closed surface. Gauss's law can be used to derive Coulomb's law, and vice versa. It is one of Maxwell's 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 (specifically 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.
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |