We define the dielectric constant as the ratio of the electric flux density in a material to the electric flux density in a vacuum. Flux linked to a surface is said to be positive if the flux lines are coming out of the surface.Image: Shutterstock / Built In. Electric flux will be maximum if the angle between the field lines and area vector is _. This relationship is known as Gauss' Law:4. (See Section 2.4 for more about electric flux density.) The integral of over a closed surface yields the enclosed charge, having units of C. ![]() Integral form:The electric flux density, having units of C/m, is a description of the electric field as a flux density. The net flux of a given electric field through a given surface, divided by the enclosed charge should be equal to a constant. Gauss law for electric field: Gauss's law states that the net flux of an electric field in a closed surface is directly proportional to the enclosed electric charge. Subject - Electromagnetic Field and Wave TheoryVideo Name - Electric Flux Densit圜hapter - Electric Flux Density, Gauss's Law and DivergenceFaculty - Prof. ![]() (a) Find an expression for the electric flux passing through the surface of the Gaussian sphere as a. A spherical Gaussian surface of radius r, which shares a common center with the insulating sphere, is inflated starting from r = 0. Its units are N/C, the same as the electric field in MKS units.)An insulating solid sphere of radius a has a uniform volume charge density and carries a total positive charge Q. (Electric flux density is the electric flux per unit area, and is a measure of strength of the normal component of the electric field averaged over the area of integration. E(r) = 1 4πϵ N ∑ n = 1 r − rn |r − rn|3 ρs(rn) Δs.Hence, units of electric flux are, in the MKS system, newtons per coulomb times meters squared, or N m 2 /C. Substituting this expression into Equation 5.4.1, we obtain. where ρs is the surface charge density (units of C/m 2) at rn. Then, the charge associated with the nth patch, located at rn, is. ![]()
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