vanhees71 said:I'm a bit unsure what you are asking, because you ask to different questions. Let me start with the second:
"But how will two B-fields (or magnets) affect each other?"
As far as Maxwell's equations in a vacuum are concerned (and neglecting quantum effects) these are strictly linear, i.e., "two electromagnetic fields" (i.e., the two parts of the em. fields orginating from two independent charge-current distributions) superimpose themselves simply, i.e., ##\vec{E}=\vec{E}_1+\vec{E}_2##, ##\vec{B}=\vec{B}_1+\vec{B}_2##.
The first question is a bit more complicated.
If you have two permanent magnets at not too close distances the most simple idea is to consider the magnetic field of one of the magnets as a dipole field at the place of the other magnet, which you describe approximatelly by its magnetic moment. Then you have a dipole-dipole interaction, which you can find in many textbooks.
Well, thanks anyways. Might to it experimentally then and end up with a inverse square or cube relation.vanhees71 said:Well, it's pretty complicated. Maybe for a first overview Wikipedia is a good starting point:
https://en.wikipedia.org/wiki/Force_between_magnets
The force between two neodymium permanent magnets is the attraction or repulsion that occurs between them due to their magnetic fields. This force is dependent on the strength of the magnets, the distance between them, and the orientation of their poles.
The force between two neodymium permanent magnets can be calculated using the formula F = (m1 * m2)/(4 * π * d^2), where m1 and m2 are the magnetic moments of the two magnets and d is the distance between them.
The force between two neodymium permanent magnets is affected by the strength of the magnets, the distance between them, and the orientation of their poles. It is also affected by the magnetic permeability of the materials between the magnets and any external magnetic fields that may be present.
Yes, the force between two neodymium permanent magnets can be increased by increasing the strength of the magnets or decreasing the distance between them. However, it is important to note that there is a limit to how close the magnets can be before they physically repel each other.
The force between two neodymium permanent magnets is utilized in many everyday applications, such as magnetic closures on bags or purses, magnetic clasps on jewelry, and magnetic latches on cabinet doors. It is also used in more advanced technologies, such as magnetic levitation trains and magnetic resonance imaging (MRI) machines.