Magnetostatics and Electrostatics

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Homework Help Overview

The problem involves understanding the relationship between charge densities in a wire where positive charges are at rest and negative charges are in motion, specifically within the context of magnetostatics and electrostatics. The original poster expresses confusion about how to demonstrate the relationship involving the Lorentz factor, gamma.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the definition of gamma and its role in the problem, with some suggesting that charge conservation and Lorentz contraction are relevant to the solution. Others express uncertainty about the initial approach and propose alternative perspectives.

Discussion Status

The discussion is ongoing, with various interpretations being explored. Some participants have offered guidance regarding the conservation of charge and the implications of relativity, while others are reconsidering their initial thoughts based on new insights.

Contextual Notes

There is a mention of the need to consider relativistic effects, such as Lorentz contraction, and the importance of charge conservation in the context of the problem. The original poster's lack of understanding suggests that foundational concepts may need to be clarified further.

johanjones190
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Here is the problem, I have no idea how to do this!

(In a single straight wire) If the positive charges (density p+) are at rest, and the negative charges (density p-) move at speed v, show that:

p- = -(p+)*(gamma)^2
 
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Is gamma some kind of ratio?

The traveling charges (enclosed current) induces a magnetic field which in turn imposes a force on moving charges, which then must be offset by an electrostatic attraction.
 
Yeah gamma = 1/ sqrt(1-v^2/c^2) where v is velocity and c is the speed of light!
 
Try to think that the global electric charge must be conserved, and see how in relativity change the volumes by lorentz contraction. then remember that Q=density times volume and you'll get the answer...
 
Astronuc said:
The traveling charges (enclosed current) induces a magnetic field which in turn imposes a force on moving charges, which then must be offset by an electrostatic attraction.
for get this approach and go with what Marco_84 suggested. I was thinking something entirely different, not realizing that this was about SR.
 

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