I was wondering how would one explain the math/physics behind a theoretical monopole (I know that maxwell's equations amongst others says otherwise) Would someone who is quite informative on the physics behind why this setup of bar magnets would not create a monopole? Diagrams of the field lines would help, also an explanation on showing how to add/cancel the field lines would be appreciated. Also a slight explanation on the law's and some documents/links that may assist in my understanding.
>>9092880
A magnetic monopole would have magnetic field lines that only point towards (or away from) the monopole.
Your diagram fails to take into account 3D space.
Now I know you are thinking about doing the same idea only with a sphere of magnets. I'm curious about it too.
https://en.wikipedia.org/wiki/Lorentz_force
F=qE+ vq x B
qE is just the force on the charge q in an electric field E.
vq x B is the force on a moving charge q in the presence of the magnetic field B (note: x is the cross product). This part is analogous to my 3rd link. If v is zero, there is no contribution here.
https://en.wikipedia.org/wiki/Ferromagnetism#Explanation
Shit gets complicated. I think this is where the spherical arrangement might be broken. Internal cancellations and such.
https://en.wikipedia.org/wiki/Electromagnet#Physics
Moving charges create magnetic fields.
Basically, linearly moving charges create a spiraling magnetic field around the line of motion.
It's really hard to visualize adding field lines.
You really need vector calculus, vector valued functions, curl, gradient, divergence.
The gradient of a potential gets you the field.
This works for gravitational potential as well as electric potential.
Yeah I was thinking about the 3D just was difficult to illustrate without complicating things as much and the 2D should give a good idea to begin with, I know there has to be some mathematical approach to show that it doesn't work using Maxwell's equations (Magnetic Flux) but even then I can't seem to find an explanation as to why it happens. Understanding the mathematics behind it would be ideal but at the moment I am just trying to gain an understanding in explaining why this doesn't work without just saying "it just does".
>>9093032
The mathematical explanation is quite literally "it doesn't". Link:
https://en.wikipedia.org/wiki/Gauss%27s_law_for_magnetism#Integral_form
Let S be a sphere around the center of your construction, and it says that the flux is 0.
I think what "actually happens" is something like the attached picture. When you put magnets together the field strength is a superposition of individual magnets' fields, so it sums to zero.
Obviously the external field is more spread out than internal, so it would only slightly reduce in the middle in the picture. However, if you have infinitely many magnets in a row like pictured, it would sum to zero, and a sphere is more or less an equivalent situation.
Just like if you connect to bar magnets with each other, one side becomes north and the other becomes south pole (they act like a huge magnet). If you connect bar magnets in the shape of your diagram, they form a disc magnet with the north pole in the centre and the south pole on the outer wall.
If you have any disc-shaped magnets with your refrigerator or something, grab a bad magnet and test it out, one pole attracts the middle while the other attracts the outer wall.
Therefor a monopole magnet will not be created.
>>9093187
Flatearthers think the Earth is shaped like this type of magnet, with the North pole in the centre and Antarctica as the outer wall.
Good thread, but just for thought Dirac had some crazy idea that they might happen, but it hasn't been observed yet.
I don't remember what the deal was but it had something to do with stability, not just geometry