Magnetic Field from Protons vs Electrons

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Discussion Overview

The discussion centers on the magnetic fields produced by moving protons and electrons, particularly in circular motion within a magnetic field. It explores the application of the right-hand rule and Biot-Savart's law in this context.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants assert that both electrons and protons produce magnetic fields according to the right-hand rule, with the caveat that the electron's negative charge results in a magnetic field direction opposite to that indicated by the right-hand rule.
  • Others propose that the magnetic field for a proton, being positively charged, would align with the right-hand rule, suggesting a direct relationship with the velocity and radius of motion.
  • One participant references Biot-Savart's law to describe the magnetic field produced by moving charges, noting the difference in directionality due to charge sign.
  • There is a suggestion that the magnetic field produced by a proton is simply given by the expression ##\vec{v} \times \vec{r}##, without further elaboration on its implications.

Areas of Agreement / Disagreement

Participants express differing views on the application of the right-hand rule to protons and electrons, indicating a lack of consensus on the implications of charge sign in determining magnetic field direction.

Contextual Notes

Some assumptions regarding the magnitude of the magnetic fields produced by protons compared to surrounding fields remain unaddressed. The discussion does not resolve the implications of the differences in charge sign on the magnetic field direction.

General Scientist
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If an electron is moving in a circle in a magnetic field, it produces a magnetic field in accordance to the right hand rule. If a proton is moving in a circle in a magnetic field, would it produce a magnetic field in accordance to the left hand equivalent to the right hand rule.
 
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General Scientist said:
If an electron is moving in a circle in a magnetic field, it produces a magnetic field in accordance to the right hand rule. If a proton is moving in a circle in a magnetic field, would it produce a magnetic field in accordance to the left hand equivalent to the right hand rule.
You are correct as magnetic fields are created by moving charges, and the example would satisfy the criteria. Although, I assume it would be tiny compared to the surrounding magnetic field. The right hand rule would work for a proton.
 
The magnetic field for both is described by Biot-Savart's law. ## \vec{B}=\frac{\mu_o}{4 \pi} \frac{q \vec{v} \times\vec{r}}{|\vec{r}|^3} ##. With a negative charge on the electron, its magnetic field is opposite the direction given by ## \vec{v} \times \vec{r} ##.
 
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Charles Link said:
The magnetic field for both is described by Biot-Savart's law. With a negative charge on the electron, its magnetic field is opposite the direction given by ## \vec{v} \times \vec{r} ##.
So the positive charge of a proton would mean the magnetic field is just ##\vec{v} \times \vec{r}##?
 
General Scientist said:
So the positive charge of a proton would mean the magnetic field is just ##\vec{v} \times \vec{r}##?
See the part I added to post 3=the formula for ## \vec{B} ##.
 
Charles Link said:
See the part I added to post 3=the formula for ## \vec{B} ##.
Ok. Thank you.
 
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