AEM

[Audio] Hello everyone ,Today we are going to discuss about the gauassian surfaces for point,line and surface charges..

[Audio] So, given question is Gaussian surfaces for point, line and surface charges with explaination. We can see the formula the that gauss law state is electric flux is equal to charge per permittivity of free space ..

[Audio] Now let us move on to the introduction ,electric flux is The total number of lines of force in any particular electric field . We can see that it forms a gaussian surface around a point charge in shape of a sphere.the electric flux lines pass through the sphere per unit area is the electric field..

[Audio] Electric flux density which is denoted by capital d . Electric flux density isThe net flux passing normal through the unit surface area is called the Electric flux density.the Formula for Electric flux density is equal to product permittivity of air and electric field. Formula for electric flux density d is equal to product of permittivity of medium and electric field..

[Audio] Now we will go through the derivation of electric flux density for a point charge. consider a gaussian surface around the point charge in form of a sphere. We know that the electric flux is equal to total charge enclosed in it. that is Phi is equal to q. Electric flux density d is equal to total charge divided by total surface 4 pi r square..

[Audio] Let us move on to the derivation of electric flux density of a line charge. Now the charge is in the form of line, We can see the charge on the line radiates outwards perpendicular to the line . Let the line charge density be ro l. consider the cylindrical gaussian surface around the line charge. From the gauss law formula ,electric flux density is equal to line charge density ro l divided by two pi ro .And its direction is axially outward..

[Audio] Now we will discuss about the Derivation of surface charge. charge is in the form of infinite plane,we will consider the cylindrical gaussian surface perpendicular to the plane .let the surface charge density be sigma, From the gauss law formula electric flux density d is equal to the sigma divided by two . Diection is perpendicular to the plane..

[Audio] Now I will conclude the gauss law, 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. Gauss law is a general law of physics used to assess the amount of charge enclosed in a surface by mapping the field on a surface outside the charge distribution. it helps simplify the electric field calculation for geometries that have sufficient symmetry. it is essential to find out the electric flux of the surface..

[Audio] Thank you for watching this gauss law animation..