I Why charge density of moving dipole is dependent on time?

Click For Summary
The discussion focuses on the time-dependent charge density of a moving electric dipole, addressing inconsistencies in transformation equations. It highlights that the electric current from a moving dipole can be expressed as a combination of polarization and magnetization currents, leading to a varying magnetic field. The charge distribution is not constant over time due to the dipole's movement, as indicated by the relevant equation. Additionally, there is curiosity about the author's affiliation with NIOSH, which seems unusual in this context. The conversation emphasizes the importance of understanding how motion affects charge density in electromagnetic theory.
Lokesh
Messages
1
Reaction score
0
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?
 
Physics news on Phys.org
:welcome:

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.

##\ ##
 
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
 
  • Like
Likes jim mcnamara and berkeman
Quick question that I haven't been able to find the answer to. Greenhouse gasses both warm and cool the atmosphere by slowing heat loss to space. But what would happen without GHGs? I read that the earth would be colder (though still relatively warm), but why? Without GHGs the atmosphere would still be a similar mass and still warmed by conduction from the surface, yet without a means to radiate that heat to space. Why wouldn't the atmosphere accumulate heat over time, becoming warmer? How...