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ContentElectric flux
Electric fluxThe source of electric field is charge. When there is electric field flowing radially, there is a source inside. Electric flux is defined as the effect of electric field over the area of the surface projected in a plane perpendicular to the field, that is (𝐸⋅ 𝑛)𝑑𝐴. In order words, the electric flux of a surface which is parallel to the electric field, is equal to zero. The electric flux over a surface is ∑( 𝐸⋅ 𝑛)𝑑𝐴. Gauss's LawThe total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity.∮ 𝐸⋅ 𝑛𝑑𝐴= 1𝜀_{0} ∑𝑞_{inside} Gauss's Law for Point ChargeFor a point charge, the electric flus of concentric spherical surface shell of radius 𝑟 is∮ 𝐸⋅ 𝑛𝑑𝐴= 14𝜋𝜀_{0} 𝑞𝑟^{2}(4𝜋𝑟^{2})= 𝑞𝜀_{0}. The electric flux does not depend on the radius of the concentric spherical surface shell because field 𝐸∝ 1𝑟^{2}and surface area 𝐴∝𝑟^{2}. In any segment, the contribution from any shell is the same. Since electric flux through any outer shell surface is always the same. The electric flux of any closed surface formed by any outer shell surfaces is always the same. Similarly, by limit the segment to infinite small segment, the enclosed surface can be refined to surround the charge with any smooth shape by following different shperes in different places with the same electric flux. Gauss's Law for PlaneFor an infinite plane with surface charge density, 𝜎=[𝑄/𝐴]. Due to geometry of plane, the electric filed is perpendicular to plane and has same magnitude everywhere. Define a Gaussian box, 𝐸 is constant and perpendicular to the two plane surfaces of the Gaussian box.
Gauss's Law for MagnetismSo far, no experiment has found a magnetic charge, i.e. a magnetic monopole. Therefore 𝑞_{magnet}=0 and Gauss's law for magnetism is∮ 𝐵⋅ 𝑛𝑑𝐴=0 Source and Referencehttps://www.youtube.com/watch?v=ULWIQvFmuo&list=PLZ6kagz8q0bvxaUKCe2RRvU_h7wtNNxxi&index=22©sideway ID: 200102202 Last Updated: 1/22/2020 Revision: 0 Latest Updated Links

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