Creating a 2-D Electrostatic Field

In summary, the Feynman lectures in physics, specifically volume 2 chapter 7, discuss the mathematical modeling of a 2D electrostatic field. The complex variables used are just a mathematical trick, with the actual fields being real. It is possible to create a 2D electric field, similar to how graphene is considered a 2D material, by solving the Poisson equation in 2D with the appropriate boundary condition. However, electric and magnetic fields can only be approximately 2D due to living in a 3D world.
  • #1
doggydan42
170
18
I've been reading the Feynman lectures in physics. In volume 2 chapter 7: http://www.feynmanlectures.caltech.edu/II_07.html he shows how to mathematically model a 2D electrostatic field.

Is it possible to create an experiment that behaves the same way even with the complex variables?

Thank you in advance
 
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  • #2
The complex variables are just a mathematical trick. The actual fields are real.
 
  • #3
Vanadium 50 said:
The complex variables are just a mathematical trick. The actual fields are real.

I understand that it is a mathematical formulation for 2D models, but could someone create a 2D electric field instead of a 3D one, like how graphene can be considered a 2D material.
 
  • #4
doggydan42 said:
I understand that it is a mathematical formulation for 2D models, but could someone create a 2D electric field instead of a 3D one, like how graphene can be considered a 2D material.

Couldn't you just solve the Poisson equation in 2D with the appropriate boundary condition?

Zz.
 
  • #5
Just as graphene is only approximately 2D because we live in a 3D world, electric and magntic fields can only be approximately 2D because we live in a 3D world.
 
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Related to Creating a 2-D Electrostatic Field

1. How do you create a 2-D electrostatic field?

To create a 2-D electrostatic field, you will need a source of electric charge, such as a battery, and two conductive plates. Place the plates parallel to each other, and connect them to the battery using wires. This will create an electric field between the plates.

2. What is the purpose of creating a 2-D electrostatic field?

Creating a 2-D electrostatic field allows for the study and manipulation of electric charges and their interactions. This can be useful in understanding the behavior of charged particles and in developing technologies such as capacitors and displays.

3. How is the strength of a 2-D electrostatic field measured?

The strength of a 2-D electrostatic field is measured using a unit called the electric field strength, which is measured in volts per meter (V/m). This can be calculated by dividing the force on a test charge by the charge of the test charge.

4. What factors affect the strength of a 2-D electrostatic field?

The strength of a 2-D electrostatic field is affected by the distance between the plates, the amount of charge on the plates, and the dielectric constant of the material between the plates. It is also affected by the permittivity of free space, which is a fundamental constant.

5. Can a 2-D electrostatic field be manipulated or controlled?

Yes, a 2-D electrostatic field can be manipulated and controlled by changing the distance between the plates, altering the amount of charge on the plates, or introducing different materials between the plates with varying dielectric constants. This allows for the creation of more complex and precise electric fields for various applications.

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