Why are field lines parallel in a uniform field?

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SUMMARY

The discussion clarifies why field lines are parallel in a uniform electric field created by charged plates. It emphasizes that the charges on the plates generate radial fields, which individually do not exhibit parallel lines. However, the vector sum of these radial fields results in a uniform field with parallel lines, particularly due to the perpendicular nature of the resultant fields at the surface of the plates. The analogy with wave propagation, specifically Huygens' principle, illustrates how adjacent sources can create a linear wave front.

PREREQUISITES
  • Understanding of electric fields and charge distribution
  • Familiarity with vector summation in physics
  • Knowledge of Huygens' principle in wave theory
  • Basic concepts of radial fields and their properties
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  • Research "Vector addition of electric fields" to understand how fields combine
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  • Explore "Electric field lines and their properties" for deeper comprehension
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jackiepollock
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For a uniform field like this, I imagine the two plates that creates it are made of multiple atoms with charges, which are points sources that create radial fields. We know that radial fields don't have parallel fields lines, so how are parallel fields lines form when the field is made of various radial fields? Is it caused by the vector sums of these radial fields?

Screenshot 2021-08-03 at 20.51.09.png
 
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Hello,

Yes you have the right picture in mind. There is an analogy with waves: the summation of waves propagating in circles from adjacent sources generates a more or less linear wave front ( google huijgens principle ).

So on the edges of the plates the field lines will bulge outward a little bit## \ ##
 
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BvU said:
Hello,

Yes you have the right picture in mind. There is an analogy with waves: the summation of waves propagating in circles from adjacent sources generates a more or less linear wave front ( google huijgens principle ).

So on the edges of the plates the field lines will bulge outward a little bit## \ ##
Thank you!
 
jackiepollock said:
For a uniform field like this, I imagine the two plates that creates it are made of multiple atoms with charges, which are points sources that create radial fields. We know that radial fields don't have parallel fields lines, so how are parallel fields lines form when the field is made of various radial fields? Is it caused by the vector sums of these radial fields?

View attachment 287041
On the plate the charges are on the surface which can’t move because the field don’t have any tangential component along the surface. The vector sum of all the fields at all points are fields perpendicular to the surface.
 

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