Question about electromagnetism and frames of reference

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Discussion Overview

The discussion revolves around the interpretation of the lengths and charge densities of two rods in different frames of reference, particularly in the context of electromagnetism and relativity. Participants question the assertion that both rods have the same length and charge density despite one being in motion.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants question why both rods are said to have the same length and charge density, particularly noting that the moving negative rod should exhibit length contraction according to relativity.
  • One participant mentions a previous discussion about steady currents in wires, suggesting that the behavior of moving charges may depend on how they are accelerated.
  • Another participant argues that in the rest frame of the moving charges, the charge density must remain constant, implying that the stationary charges would appear closer together in that frame.
  • There is a reference to a diagram that may provide further clarification on the topic, indicating that visual aids are being utilized to support the discussion.
  • One participant cites a source that discusses the neutrality of current-carrying wires and the relationship between surface and volume charge densities, suggesting that this is a well-established concept in the context of the discussion.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the claims regarding the lengths and charge densities of the rods. Multiple competing views remain, particularly concerning the implications of relativity on the properties of the moving rod.

Contextual Notes

Participants express uncertainty about the assumptions underlying the claims regarding charge density and length in different frames. There is also mention of the lack of a single rest frame for the moving charges throughout the entire wire loop.

abdossamad2003
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in this text:
1.jpg


my question is in highlighted line:
"The two rods have the same length (in S) and contain the
same number of charges." why?

Considering that the negative rod has movement, it should have a shorter length than the positive rod according to a relativity!
 
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abdossamad2003 said:
in this text:
View attachment 340896

my question is in highlighted line:
"The two rods have the same length (in S) and contain the
same number of charges." why?

Considering that the negative rod has movement, it should have a shorter length than the positive rod according to a relativity!
There was a long thread about this recently. If you set up a steady current in an infinite length of wire, then it's not clear whether the moving charges get closer together or not. It all depends on how you accelerate them.

If, however you consider a physically realistic large rectangular loop of wire, then the moving charges must have the same charge density, as no charges gave been added or taken away from the wire. This is in the rest frame of the wire.

This means that in the rest frame of the moving charges in a section of the wire, the charges must have got further apart. And the stationary charges will be closer together in this frame.

Note that there is no single rest frame of the moving charges throughout the whole loop.
 
abdossamad2003 said:
my question is in highlighted line:
"The two rods have the same length (in S) and contain the
same number of charges." why?

Considering that the negative rod has movement, it should have a shorter length than the positive rod according to a relativity!
The authors of this book assume, that the rest length of the rod, which is moving in frame ##S##, is greater than the rest length of the other rod at rest in frame ##S##.

"It is a well-known fact that a current-carrying wire is neutral ... in the lab frame", and therefore a positive surface charge density must compensate the negative volume charge density, according to
http://web.mit.edu/wangfire/misc/AJP000360.pdf
 
Last edited:

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