Understanding the Electrical Field Lines of a Charged Insulating Disk

In summary: The field lines will be equidistant from each other at many points.In summary, when sketching the electrical field lines of a uniformly charged insulating disk, the field lines will be perpendicular to the surface near the center and will curve away as you move away from the center. For the curved part of the disk, the field lines will point outwards. Far away from the disk, the field lines will behave as if the disk is a point charge, pointing away from the disk. In the absence of specified charge, the convention is to consider positive charge behavior. For an insulating disk, the charge will be on one side, while for a conductor, the charge will spread out uniformly. The field lines are 3D and
  • #1
tongpu
21
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Homework Statement


Sketch the electrical field lines of a uniformly charged insulating disk. Show field lines close and far away.


Homework Equations


none, conceptual


The Attempt at a Solution


For close to the surface of disk near the center the field lines are almost perpendicular to surface, as you move away from center the field line curves away. For the curve part of the disk the field lines point outwards.

For far away the disk is like a pint charge so the field lines point away from the disk.

No charge is given so how can i tell, and how does knowing in an insulator the electrons do not move freely help? What if it is a conductor?
 
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  • #2
tongpu said:

Homework Statement


Sketch the electrical field lines of a uniformly charged insulating disk. Show field lines close and far away.


Homework Equations


none, conceptual


The Attempt at a Solution


For close to the surface of disk near the center the field lines are almost perpendicular to surface, as you move away from center the field line curves away. For the curve part of the disk the field lines point outwards.

For far away the disk is like a pint charge so the field lines point away from the disk.

Although you have no picture here to help see what you mean, your verbal description sounds basically correct.

No charge is given so how can i tell, and how does knowing in an insulator the electrons do not move freely help? What if it is a conductor?

In electrostatics problems, when no charge is specified, the convention is to describe the behavior for positive charge. (It is understood that the field direction would be reversed for negative charge.)

I suspect that, since the problem specifies an *insulating* disk, they are asking you to treat the charge as being on only *one* side of the disk. (For an "ideal" insulator, it would all *stay* there.) For an "ideal" conductor, the charge would spread itself over the entire surface as uniformly as possibly, so (nearly) half the total charge would be on either side. (We can neglect the thickness of the disk in an introductory physics problem.)
 
  • #3
Is this over 2D or 3D? If the charge is uniformly distributed... then the field lines are going to be radially outward from the center of the disk.
 

FAQ: Understanding the Electrical Field Lines of a Charged Insulating Disk

1. What are electrical field lines?

Electrical field lines are visual representations of the electric field around a charged object. They show the direction and strength of the electric field at different points in space.

2. How are electrical field lines drawn?

Electrical field lines are drawn by placing a test charge at different points around a charged object and then drawing a line in the direction of the electric force on the test charge. The closer the lines are together, the stronger the electric field is at that point.

3. What is the purpose of electrical field lines?

The purpose of electrical field lines is to help us visualize and understand the electric field around a charged object. They also allow us to predict the behavior of charged particles in the presence of an electric field.

4. How do electrical field lines represent the strength of the electric field?

The density of the field lines represents the strength of the electric field. The closer the lines are together, the stronger the electric field is at that point. A larger number of lines also indicates a stronger electric field.

5. Can electrical field lines cross each other?

No, electrical field lines cannot cross each other. This is because the direction of the electric field at any point is unique and cannot have two different directions. If the lines were to cross, it would imply that the electric field at that point has two different directions, which is not possible.

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