vector form of gauss law
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Gauss Law states that the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity. The electric flux in an area is defined as the electric field multiplied by the area of the surface projected in a plane and perpendicular to the field.
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where E is the electric field, dA is a vector representing an infinitesimal element of area of the surface, and · represents the dot product of two vectors. Since the flux is defined as an integral of the electric field, this expression of Gauss's law is called the integral form.
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