Why charge density of moving dipole is dependent on time?

In summary, the charge density of a moving dipole is dependent on time due to the relativistic effects of motion. As the dipole moves, the distribution of its electric field changes, resulting in varying charge densities observed by a stationary observer. This temporal variation is influenced by the speed of the dipole and the angle of observation, leading to phenomena such as radiation and alterations in the electromagnetic field configuration associated with the dipole's movement.
  • #1
Lokesh
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TL;DR Summary
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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: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.

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And why is the author of that paper from NIOSH? That's weird...
 
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berkeman said:
And why is the author of that paper from NIOSH? That's weird...
IMG_0071.jpeg
 
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FAQ: Why charge density of moving dipole is dependent on time?

What is a moving dipole?

A moving dipole refers to a pair of equal and opposite charges that are separated by a distance and are in motion. This motion can affect the electric field generated by the dipole, as the distribution of charge changes over time.

Why is charge density important in the context of a moving dipole?

Charge density is crucial because it determines the strength and distribution of the electric field produced by the dipole. As the dipole moves, the charge density changes, which can influence how the electric field interacts with other charges and currents in the surrounding space.

How does the motion of a dipole affect its charge density?

The motion of a dipole causes the positions of the charges to change over time, which alters the spatial distribution of the electric field. This dynamic change results in a time-dependent charge density, as the dipole's orientation and the distance between the charges can vary during motion.

What role does time play in the charge density of a moving dipole?

Time plays a critical role because the charge density is not static; it evolves as the dipole moves. The electric field produced by the dipole at any point in space depends on the position of the charges at that specific moment, leading to a time-dependent behavior of the charge density.

Can the charge density of a moving dipole affect other charges nearby?

Yes, the time-dependent charge density of a moving dipole can influence nearby charges. As the dipole moves and its charge density changes, it generates a varying electric field that can exert forces on other charges, potentially causing them to move or change their trajectories.

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