Electric Flux, Definition and Formula

Electric Flux: Here in this blog, we will talk about the concept of electric flux, how to calculate its value, and the correlation between the flux of an electric field and water. Let us assume the flow of water with a velocity v in a pipe in a static direction, say, for example, in the right direction. If we take the cross-sectional plane of the pipe and assume an undersized unit site given by ds from that plane, the volumetric flow of the water flowing through that plane is normal to the flow and can be expressed as vds. When the plane is not regular to the flow of the water but is bent at an angle of θ, the total volume of the water flowing through the plane per unit of time is expressed asvds.cosθ. Here, dscosθ is the assumed area in the plane vertical to the flow of water. 

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Table of Content

Electric Flux

Formula of Electric Flux

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Electric Flux

The electric field is similar to the flow of water in the case discussed above. The amount we will deal with here is not as noticeable amount as the water we assumed above. Let us try to know this with the help of the illustrative figure below.
Here, we observe that the electric field lines of volume E pass through a plane of site A that is kept at an angle θ to the direction of the electric field.
 

Electric Flux Formula 

The total number of electric field lines flowing at a given site in a unit of time is referred to as electric flux. As same as the example discussed above, if the plane is normal to the flow of the electric field, the whole flux is expressed as


When a similar plane is titled at an angle θ, the assumed site is given as Acosθ. The total flux through this surface is expressed as

Here,

• E is the magnitude of the electric field.
• A is the site of the surface via which the electric flux is to be determined.
• Θ is the angle created by the plane and the axis lateral to the direction of flow of the electric field.