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.