Conceptual question about electric flux

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SUMMARY

This discussion clarifies the concept of electric flux through different geometric shapes, specifically a disk, cube, and sphere. The key conclusion is that the electric flux through a closed surface, such as a cube or sphere, is zero when no charges are enclosed within that surface. This is due to the principle that electric field lines entering one face of the closed surface must exit through another, resulting in no net flux. In contrast, the flux through an open surface like a disk can be non-zero, as it does not enclose a volume.

PREREQUISITES
  • Understanding of electric flux and its mathematical representation
  • Familiarity with Gauss's Law
  • Knowledge of electric field lines and their behavior
  • Basic concepts of closed versus open surfaces in electromagnetism
NEXT STEPS
  • Study Gauss's Law and its applications in electrostatics
  • Explore the mathematical derivation of electric flux for various surfaces
  • Investigate the behavior of electric field lines in different geometries
  • Learn about the implications of closed surfaces in electromagnetic theory
USEFUL FOR

Students of physics, particularly those studying electromagnetism, educators teaching electric flux concepts, and anyone seeking to deepen their understanding of electric fields and their interactions with different geometrical shapes.

faller217
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I am studying electric flux through both a disk, cube, and sphere. I understand how the flux is calculated in a disk, but I don't understand how the flux through a cube with the point charge outside the cube is equal to zero when the disk is not. Is this because the disk is 2-D?

Thank you for your help
 
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faller217 said:
I am studying electric flux through both a disk, cube, and sphere. I understand how the flux is calculated in a disk, but I don't understand how the flux through a cube with the point charge outside the cube is equal to zero when the disk is not. Is this because the disk is 2-D?

Thank you for your help
You've got the right idea. The disc is an open surface whereas the cube and sphere are closed surfaces, this means that they enclose a volume. Now since there are no charges inside these surfaces, any electric field lines that pass through one of the faces of the cube, must also pass out of another face. The same is true of the sphere. Therefore, there is as much flux entering the cube and sphere as there is leaving it, hence the net flux through those surfaces is zero.

Do you follow?
 
I follow perfectly. Thanks very much for explaining! :)
 

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