#ELECTRIC FLUX EQUATION FREE#

In this case we have to find the projection of the area A which is perpendicular to the field lines.The area of this projection is Now we consider the case in which A is neither perpendicular nor parallel to field lines but is inclined at angle θ with the lines as shown in figure What is the electric flux density on the surface of the cylinder Gauss equation is: QT, the total charge enclosed, q coulombs per meter x L meters. In this case angle between E and A is 90°.

#ELECTRIC FLUX EQUATION FREE#

The left side of the equation describes the divergence of the electric field and the right side the charge density (divided by the permittivity of free space). Net electric flux Sum of electric flux through left face, right face, top face and bottom face 0 + 0 + 0.048 -0.048 0. If area is held parallel to the field lines E ,shown in figure below Whereas in the integral form we are looking the the electric flux through a surface, the differential form looks at the divergence of the electric field and free charge density at individual points. As electric flux is a scalar quantity, we can add it algebraically to calculate the net flux. In this case ,angle between E and A is O° This means that if 1m² area is held perpendicular to the field lines at this point,4 field lines will pass through it.Ĭonsider a certain area A is held perpendicular to the field lines E but direction of A is parallel to E as shown in figure below.

When we place an element of an area in an electric field ,some of the lines of force pass through it.In order to give a quantitative meaning to flux ,the field lines are drawn such that the number of field lines passing through a unit area held perpendicular to field lines at a point represent the intensity E of the field at that point.Suppose at a given point the value of E is 4N/C. This calculator will calculate the electric flux produced by electric field lines flowing through a closed surface when electric field is given and/or when. Its SI unit Nm²/c.Below figure showing electric flux through a surface normal to E.

Electric flux equation