What do you mean by force "between" two charges?

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Discussion Overview

The discussion revolves around the concept of force "between" two charges, exploring the nature of forces in electrostatics, the implications of Newton's third law, and the potential misconceptions surrounding the terminology and visualization of these forces. Participants seek both complex and simple explanations, analogies, and visualizations to clarify their understanding.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants express confusion about the term "force between two charges," suggesting it may lead to misconceptions regarding how forces are represented and understood.
  • It is proposed that forces are always reciprocal, as per Newton's third law, meaning if one charge exerts a force on another, the second charge exerts an equal and opposite force back.
  • One participant emphasizes that it is more accurate to state that "charge-1 applies a force on charge-2" and vice versa, highlighting that these are distinct forces acting on different objects.
  • There is a discussion about whether the force exerted by a charge is direct or mediated by a field, raising questions about how Newton's third law applies in these scenarios.
  • Concerns are raised about students misinterpreting force vectors as being located "between" charges, which may obscure the actual interactions occurring.
  • A participant questions how a field interacts with charges and whether it can be considered to exert forces in a manner consistent with Newton's laws.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best way to conceptualize and describe the forces between charges. There are multiple competing views regarding the interpretation of these forces, the role of fields, and the implications of Newton's third law.

Contextual Notes

Limitations in understanding arise from the ambiguity in the term "force between two charges," the potential for misinterpretation in visual representations, and the complexities of how fields interact with charges. The discussion does not resolve these issues.

Young wolf
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I can understand force being exerted by an object on another object but I can't understand what all this force between two objects is. Can anyone give the complex and simple explanation, please? I am completely freaking out not being able to understand. Analogies and visualizations are a great help too.
 
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Forces are always reciprocal - Newton's third law. If A exerts a force on B, then B also exerts a force on A. Sometimes you can ignore one direction (no matter how much you push a wall, you might move, but the wall won't move in any relevant way).
 
Start from the basics. Things exist. Now, of the things that exist, some of them interact with one another. Of the possible interactions that things have with one another, some involve accelerations of the participating things. Such interactions constitute a force by definition of force as that which causes acceleration. Hence we have an interaction between two or more things that constitutes a force, or a force between the things.
 
Does Newton's 3rd apply between a field and an object (is the force reciprocal for the field? Does the field move in the opposite direction of the object's acceleration?)
 
In my opinion and experience, there are misconceptions with this phrasing of "force 'between' two charges".
Some students mistakenly draw a force-vector placed "near the midpoint of the line joining" (i.e. 'between') two point charges.

There is no such force-vector.
It is better to say that "charge-1 applies a force on charge-2" and "charge-2 applies a force on charge-1",
which by coulomb's law [and Newton's III] are different forces (on different free-body diagrams and pointing in opposite directions although they have equal magnitudes).
 
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robphy said:
In my opinion and experience, there are misconceptions with this phrasing of "force 'between' two charges"...

It is better to say that "charge-1 applies a force on charge-2" and "charge-2 applies a force on charge-1",
Aren't those statements equivalent?
which by coulomb's law [and Newton's III] are different forces (on different free-body diagrams and pointing in opposite directions although they have equal magnitudes
That is an important point and often the source of confusion:
-Force pairs are forces applied to different objects.
-Free body diagrams show forces applied to one object.

For a person pushing a wall, the force pair is approximated to occur at a point (the contact point). For [objects generating] fields, the interaction is at a distance.
 
russ_watters said:
robphy said:
In my opinion and experience, there are misconceptions with this phrasing of "force 'between' two charges"...

It is better to say that "charge-1 applies a force on charge-2" and "charge-2 applies a force on charge-1",
Aren't those statements equivalent?

To an expert [who can filled in the details], they are...
but to a student [who is learning the ideas and the language], they are not,
as suggested by the sentence between those statements that you omitted in your quote:
robphy said:
Some students mistakenly draw a force-vector placed "near the midpoint of the line joining" (i.e. 'between') two point charges.
To some students, they have drawn a "force between two charges"
...but that is ambiguous and probably not very useful.. is it a force on charge-1? or is it a force on charge-2? or on some charge that might be placed at that midpoint?
 
Maybe what needs clarity is whether the force on charge-2 is produced by charge-1 (and somehow jumps the distance gap in order to present a proximal force on charge-2), or whether charge-1 produces a field that spans the gap and presents a proximal force to any charge within the field (where the field itself presents the proximal force to charge-2), or some other explanation.

And if the first, how does Newton's 3rd get back to charge-1, and if the second, is the field subject to Newton's 3rd (and does it pass the reciprocal force back to charge-1), and if some other explanation, how does it operate?

Since the field is generally spherical it does not seem on the one hand that the field would be "over built" in order present the full force for every direction in order to ensure that the full force is "available" to apply in only one direction because there are an infinite number of directions for which to fulfill, but on the other hand the field needs a means to maintain the potential to do so for any and all single or multiple charges.
 

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