Why charge density of moving dipole is dependent on time?

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    Charge Density Dipole
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SUMMARY

The discussion centers on the time-dependent charge density of a moving electric dipole, specifically addressing the inconsistency in transformation equations. The electric current generated by the dipole is expressed as a combination of polarization and magnetization currents, leading to a variable charge distribution over time. Equation (5) is highlighted, demonstrating that the charge density, represented as ρ_b(r,t), is influenced by the dipole's motion, resulting in a non-static charge distribution.

PREREQUISITES
  • Understanding of electric dipoles and their properties
  • Familiarity with polarization and magnetization currents
  • Knowledge of vector calculus, particularly divergence operations
  • Basic grasp of electromagnetic theory and charge density concepts
NEXT STEPS
  • Study the derivation and implications of equation (5) in the context of moving dipoles
  • Explore the relationship between polarization currents and charge density
  • Investigate the role of magnetization currents in electromagnetic fields
  • Review literature on transformation equations in electromagnetic theory
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Physicists, electrical engineers, and students studying electromagnetism, particularly those interested in the dynamics of electric dipoles and their effects on charge distribution.

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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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