The solution is, where A=area:
2EA=(σ/ ϵ0)A
E=σ/2ϵ0
ap123 said:What gaussian surface did you use to get this?
ZedCar said:Possibly a cylinder?
I'm not 100% sure, as I just have the solution as shown above, and no other 'working out'.
ap123 said:Sounds a good choice.
What will the flux be through the cylinder?
ZedCar said:Not through it in one direction.
It's normal to the surface of the sheet.
As the sheet has two surfaces, the E-field is in both the two normal directions to the sheet.
ap123 said:Since the field is normal to the sheet surface, the flux through the sides of the cylinder is zero - so that only leaves the 2 cylinder ends. What's the total flux through these?
Hint : you've already got the answer :)
Gauss's Law is a fundamental law in electromagnetism that relates the electric flux through a closed surface to the enclosed electric charge. It is based on the concept that electric fields emanate from positive charges and terminate at negative charges.
In the case of an infinite plane sheet, Gauss's Law states that the electric field is constant and perpendicular to the sheet. This means that the electric flux through any closed surface parallel to the sheet is equal to the electric charge enclosed by that surface divided by the permittivity of free space.
Yes, Gauss's Law can be applied to finite plane sheets, but only if the size of the sheet is much larger than the distance from the sheet. In this case, the electric field is still considered constant and perpendicular to the sheet, but the charge enclosed by the surface must also take into account the finite size of the sheet.
Yes, Gauss's Law applies to all closed surfaces, as long as they enclose an electric charge. The shape and orientation of the surface do not matter, as long as it is a closed surface.
Gauss's Law is used in various practical applications, such as calculating the electric field and flux through different geometries, designing capacitors and other electronic devices, and understanding the behavior of electric charges in different situations. It is also a fundamental concept in understanding the behavior of lightning and other atmospheric phenomena.