Where, Q= Total charge within the given surface, E0 is the electric constant DerivationĬASE 1: Spherical surface enclosing single point charge

Therefore, the gauss law formula can be expressed as below Then as per gauss law, the flux generated through each face of a cube is q/6 E0Īs per this law, the total charge enclosed in a closed surface is proportional to the total flux enclosed by the surface.Ĭonsider if, Φ is the total flux and E0 is the electric constant, then the Total electric charge Q enclosed by closed surface can be expressed as follows The electric flux in an area means the product of the electric field and the area of the surface projected in a plane and perpendicular to the field.Īccording to Gauss law, the total flux in a closed surface area is 1/E0 times the charge confined by a closed surface.įor an instance, a point charge q is positioned in a cube edge. According to this law, the total flux linked with a closed surface is 1/E0 times the change enclosed by a closed surface. Gauss law is one of Maxwell’s equations of electromagnetism and it defines that the total electric flux in a closed surface is equal to change enclosed divided by permittivity. This article gives an overview of gauss law in dielectrics and magnetostatics with a mathematical expression. It describes the relation between the intensity of the electric field of a surface and the total electric charge enclosed by that surface.

This law is explained and published by a German mathematician and physical Karl Friedrich Gauss law in the year 1867. It is one of the basic laws of electromagnetism, which is applicable for any type of closed surface known as a Gaussian surface. The study of electric charge and electric flux along with the surface is the Gauss law.

Xsection gauss