Why charge density of moving dipole is dependent on time?

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    Charge Density Dipole
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Discussion Overview

The discussion revolves around the time-dependent charge density of a moving electric dipole, particularly in the context of resolving inconsistencies in transformation equations related to electric currents and magnetic fields. The focus includes theoretical implications and mathematical formulations.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests that the charge density is time-dependent due to the movement of the dipole, leading to a non-constant charge distribution in space.
  • Another participant references an equation from a paper that supports the idea of time-dependent charge density, indicating that the dipole's movement affects the charge distribution.
  • A participant expresses skepticism about the relevance of the paper's author being from NIOSH, questioning the context of the research.

Areas of Agreement / Disagreement

Participants have not reached a consensus; there are differing views on the implications of the paper and the relevance of its author.

Contextual Notes

Some assumptions regarding the transformation equations and the definitions of charge density may not be fully articulated, leading to potential gaps in understanding the implications of the moving dipole.

Lokesh
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TL;DR
Here is the link to the paper: https://doi.org/10.1119/1.4712308
This paper aims to resolve the inconsistency between different transformation equations by expressing the electric current created by a moving electric dipole as the sum of polarization and magnetization currents and calculating the resulting magnetic field. Here they take
charge density to be dependent on time. Why?
 
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I don't want to spend $ 40 to purchase access to the article. Is it perhaps the same as this one ?

In that case equation ##(5)## answers your question:$$\rho_b({\bf r},t)=-{\bf\nabla\cdot P}({\bf r},t)=-{\bf p}_0{\bf \nabla}\delta({\bf r}-{\bf r}_0(t))$$the dipole is moving, so the charge distribution in space is not constant in time.

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And why is the author of that paper from NIOSH? That's weird...
 
berkeman said:
And why is the author of that paper from NIOSH? That's weird...
IMG_0071.jpeg
 
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