Understanding Uniform Electric Fields: Why is Magnitude Always the Same?

[Shahid0072]

Hi all ..
I was studying this electric field due to infinite non conducting sheet having uniformly distributed positive charge..Electric field due to it is of same direction and magnitude at any point..Which is called uniform electric field!I understood why direction of field is always perpendicular to plane of sheet and away from it..But i have doubt why it same same magnitude everywhere??Is it because it is infinite?

 

[Shahid0072]

Its infinite..Just make sure

 

[Meir Achuz]

Because the plane is infinite, you can use symmetry to argue that the field mst be perpendicular to the plane. Then, Gauss's law can be used to show that E does ot depend on the distance from the plane.

 

[Claude Bile]

As the sheet is infinite, the lines of flux cannot diverge. Henceforce, the E field is constant no matter what distance you are from the infinite sheet of charge.

Claude.

 

[sardar]

Great question! The reason why the magnitude of the electric field is always the same in a uniform electric field is because of the properties of the electric field itself. The electric field is a vector quantity, meaning it has both magnitude and direction. In a uniform electric field, the magnitude of the electric field is constant, meaning it does not change at any point in space. This is because the charge distribution in a uniform electric field is also constant, and the electric field is directly proportional to the charge distribution.

Furthermore, in a uniform electric field, the electric field lines are parallel and evenly spaced, indicating that the electric field is the same strength at every point. This is true regardless of the distance from the source of the electric field.

Additionally, in an infinite non-conducting sheet, the charge is spread out evenly, creating a uniform electric field. This means that no matter how far away you are from the sheet, the electric field will remain the same.

In summary, the magnitude of a uniform electric field is always the same because of the constant charge distribution and the parallel and evenly spaced electric field lines. It is not necessarily because it is infinite, but rather because of the properties of the electric field itself. I hope this helps clarify your doubt!