Magnetic Field from Protons vs Electrons

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Electrons and protons moving in a magnetic field generate magnetic fields according to the right-hand rule, with the direction of the magnetic field being opposite for electrons due to their negative charge. The Biot-Savart law describes the magnetic field produced by both particles, where the magnetic field for electrons is opposite to the direction given by the velocity and radius vector cross product. For protons, the magnetic field aligns with the right-hand rule, reflecting their positive charge. The magnitude of the magnetic field produced by protons is expected to be smaller compared to the surrounding magnetic field. Understanding these principles is crucial for studying electromagnetic interactions.
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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