Here is a little more intuitive version of that plot:Sebobo said:
I'm fully aware of the arrangement, I just don't have a clue what you call such a shape that's created by the region's between 0.95 B(0,0) and 1.05 B(0,0)Baluncore said:
Seems mostly cylindrical, which is the whole goal of the Helmholtz Coil arrangement.Sebobo said:
Cylindrical? Are you sure it's not cuboidal?berkeman said:
Because I wasn't visualising correctly, are you sure it's not a slightly elongated sphere?berkeman said:
So it's a cylinder with 4 webbed tentacles around it?berkeman said:
No, it is cylindrically symmetric. You are just getting fooled by the fact that the side view slice looks like it has 4 of something. But if you mentally rotate the coils along their axis, the slice image does not change. Does that help?Sebobo said:
Awesome! Thanks for posting that.robphy said:
A Helmholtz pair refers to a configuration of two identical circular coils placed in parallel and separated by a distance equal to the radius of the coils. This setup is commonly used to create a uniform magnetic field in a specific region.
By passing an electric current through the coils in opposite directions, the magnetic fields created by each coil cancel each other out in all directions except along the central axis of the coils. This results in a uniform magnetic field in the center of the coils.
The main advantage of a Helmholtz pair is that it produces a more uniform magnetic field compared to a single coil. This is useful for experiments or applications that require a precise and consistent magnetic field.
Helmholtz pairs are commonly used in scientific research, such as in magnetic resonance imaging (MRI) machines and particle accelerators. They are also used in industrial settings for tasks such as magnetizing materials and testing electronic components.
One limitation is that the magnetic field produced by a Helmholtz pair is only uniform in a specific region between the coils. Outside of this region, the field may not be as uniform. Additionally, the strength of the magnetic field is limited by the size and distance between the coils, so larger and more powerful fields may require different configurations.