Magnetic Field from Protons vs Electrons

Click For Summary
SUMMARY

The discussion centers on the magnetic fields produced by moving protons and electrons in a magnetic field, specifically referencing the right-hand rule and Biot-Savart's law. It is established that both protons and electrons create magnetic fields due to their motion, but the direction of these fields differs due to their charges. For electrons, the magnetic field direction is opposite to that predicted by the right-hand rule due to their negative charge, while protons follow the right-hand rule directly. The formula for the magnetic field, ## \vec{B}=\frac{\mu_o}{4 \pi} \frac{q \vec{v} \times\vec{r}}{|\vec{r}|^3} ##, applies to both particles.

PREREQUISITES
  • Understanding of electromagnetic theory
  • Familiarity with the right-hand rule
  • Knowledge of Biot-Savart's law
  • Basic concepts of electric charge and magnetic fields
NEXT STEPS
  • Study the applications of Biot-Savart's law in various electromagnetic scenarios
  • Explore the implications of charge polarity on magnetic field direction
  • Learn about the Lorentz force and its relation to charged particles in magnetic fields
  • Investigate the behavior of charged particles in circular motion within magnetic fields
USEFUL FOR

Physics students, educators, and professionals in electromagnetism, particularly those interested in the behavior of charged particles in magnetic fields.

General Scientist
Messages
39
Reaction score
3
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.
 
Physics news on Phys.org
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} ##.
 
  • Like
Likes   Reactions: berkeman
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.
 
  • Like
Likes   Reactions: berkeman and Charles Link

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 23 ·
Replies
23
Views
5K