Electric Field over an infinite sheet

In summary, an electric field over an infinite sheet is a constant and uniform electric field that is present above and below an infinitely large, flat surface with a uniform distribution of charge. The electric field strength is calculated by dividing the surface charge density by 2ε₀, and it is not affected by the distance from the sheet as long as the sheet is considered to be infinitely thin. This type of electric field differs from that of a point charge, as it is always perpendicular to the surface and does not decrease with distance. Some real-life applications of an electric field over an infinite sheet include its use in electronic devices and theoretical calculations for understanding electric fields.
  • #1
VitaX
184
0

Homework Statement



2reihkm.png


Homework Equations



E = σ/2ε0 (infinite sheet)
E = σ/2ε0(1 - z/(z^2 + R^2)^1/2) (charged disk)

The Attempt at a Solution



Is this the correct method below?

E = σ/2ε0 (infinite sheet) - [σ/2ε0(1 - z/(z^2 + R^2)^1/2)]
 
Last edited:
Physics news on Phys.org
  • #2
yes...just subtract the independent fields due to infinite plane and the disc at point P. your expression is alright.
 

1. What is an electric field over an infinite sheet?

An electric field over an infinite sheet is a type of electric field that is present above and below an infinitely large, flat surface that has a uniform distribution of charge.

2. How is the electric field strength calculated for an infinite sheet?

The electric field strength for an infinite sheet is calculated by taking the surface charge density (σ) and dividing it by 2ε₀, where ε₀ is the permittivity of free space. This results in an electric field that is constant and perpendicular to the surface of the sheet.

3. Is the electric field over an infinite sheet affected by the distance from the sheet?

No, the electric field over an infinite sheet is not affected by the distance from the sheet as long as the distance is not close enough to consider the thickness of the sheet. This is because the sheet is considered to be infinitely thin, so the distance does not impact the electric field strength.

4. How does the electric field over an infinite sheet compare to that of a point charge?

The electric field over an infinite sheet is constant and uniform, whereas the electric field of a point charge decreases as the distance from the charge increases. Additionally, the electric field over an infinite sheet is always perpendicular to the surface, while the electric field of a point charge is radial.

5. What are some real-life applications of an electric field over an infinite sheet?

An electric field over an infinite sheet is used in various electronic devices, such as capacitors and parallel plate electrodes. It is also used in theoretical calculations and models for understanding electric fields and their behavior in different scenarios.

Similar threads

  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
Replies
9
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
240
  • Introductory Physics Homework Help
Replies
1
Views
2K
  • Introductory Physics Homework Help
Replies
26
Views
585
  • Introductory Physics Homework Help
Replies
24
Views
2K
  • Introductory Physics Homework Help
Replies
2
Views
4K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
7
Views
1K
Back
Top