Uniformly Charged Circular Disk

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SUMMARY

The electric field around a uniformly charged circular disk does not point in the θ or z directions, as symmetry dictates that these directions should be treated equally. The discussion clarifies that the inquiry pertains to the electric field's behavior around the edge of the disk, specifically in cylindrical coordinates. Participants emphasize that any directional preference would contradict the inherent symmetry of the system. The electric field in regions far from the disk can be approximated as that of a point charge.

PREREQUISITES
  • Cylindrical coordinates
  • Electric field concepts
  • Symmetry in physics
  • Point charge approximation
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  • Study the properties of electric fields in cylindrical coordinates
  • Explore the implications of symmetry in electrostatics
  • Learn about the electric field of a point charge
  • Investigate the behavior of electric fields near charged surfaces
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Students and educators in physics, particularly those focusing on electrostatics and electric field analysis around charged objects.

cheungw
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Homework Statement


In what direction (using cylindrical coordinates) around a uniformly disk does the electric field NOT point?


Homework Equations


The directions could be r, θ, or z.


The Attempt at a Solution


I don't think it can point in the θ or the z direction-- either one would imply that there is a built-in preference to space for a certain direction, because symmetry arguments say that these two directions should be treated equally in all directions.

I'm not sure though-- I'm assuming they mean around the edge of the disk on the outside, is this correct?
 
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cheungw said:

Homework Statement


In what direction (using cylindrical coordinates) around a uniformly disk does the electric field NOT point?

Homework Equations


The directions could be r, θ, or z.

The Attempt at a Solution


I don't think it can point in the θ or the z direction-- either one would imply that there is a built-in preference to space for a certain direction, because symmetry arguments say that these two directions should be treated equally in all directions.

I'm not sure though-- I'm assuming they mean around the edge of the disk on the outside, is this correct?
Hello cheungw. Welcome to PF !

What if they don't mean around the edge of the disk ?

What if they mean in the vicinity of the disk ?
 
cheungw said:

Homework Statement


In what direction (using cylindrical coordinates) around a uniformly disk does the electric field NOT point?


Homework Equations


The directions could be r, θ, or z.


The Attempt at a Solution


I don't think it can point in the θ or the z direction-- either one would imply that there is a built-in preference to space for a certain direction, because symmetry arguments say that these two directions should be treated equally in all directions.

I'm not sure though-- I'm assuming they mean around the edge of the disk on the outside, is this correct?

The problem says "around" the disk, so that probably means where does E not point outside of the disk.

to answer, consider the electric field in regions far far away from the disk, so that the disk appears to be a point. What would the field look like?
 

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