Gauss law

Gauss law

1. Electric field flow

   • Flow Φ
     • Property of any vector field referring to a hypothetical surface that can be closed or opened.
       • Para un campo eléctrico, el flujo Φe se mide por el número de líneas de fuerza que atraviesan la superficie.
     • Elementary squares ΔS
       • Each of which is small enough that it can be considered as a plane.
         • Its magnitude is the area itself, the direction is perpendicular to the surface and outward.
     • Vector of electric field E→
       • It can be considered constant at all points of a given square.
     • Φe = Σ E→ (ΔS)
       • Φe = ∫ E→ (dS→)
   • For a spherical surface with a point load inside.
     • Consider a spherical surface of radius r with a point charge q at its center as shown in the figure. The electric field E→ is parallel to the surface vector dS→, and the field is constant at all points of the spherical surface.

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