Why are field lines parallel in a uniform field?

In summary, the parallel field lines in a uniform field are formed by the vector sums of radial fields created by multiple atoms with charges on the two plates. This can be compared to the summation of waves propagating in circles from adjacent sources, resulting in a linear wave front. On the edges of the plates, the field lines bulge outward slightly due to the charges on the surface and the tangential component of the field.
  • #1
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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  • #2
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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Likes jackiepollock
  • #3
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!
 
  • #4
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.
 

1. Why are field lines parallel in a uniform field?

In a uniform field, the strength and direction of the field is the same at all points. This means that the force acting on a charged particle will also be the same at all points. As a result, the field lines, which represent the direction of the force, will be parallel to each other.

2. How does a uniform field affect the motion of charged particles?

In a uniform field, the force acting on a charged particle will be constant in both magnitude and direction. This means that the particle will experience a constant acceleration and move in a straight line at a constant speed.

3. Can field lines ever cross in a uniform field?

No, field lines cannot cross in a uniform field. This is because field lines always represent the direction of the force acting on a charged particle, and in a uniform field, the force is always in the same direction at all points. If field lines were to cross, it would imply that the force is acting in two different directions at the same point, which is not possible.

4. How does the strength of a uniform field affect the spacing of field lines?

In a uniform field, the spacing between field lines is directly proportional to the strength of the field. This means that the closer the field lines are to each other, the stronger the field is at that point. Conversely, the farther apart the field lines are, the weaker the field is at that point.

5. Why is it important to understand the concept of parallel field lines in a uniform field?

Understanding the concept of parallel field lines in a uniform field is important because it helps us visualize and understand the behavior of charged particles in this type of field. It also allows us to make predictions and calculations about the motion of these particles, which is crucial in many scientific and technological applications.

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