Anybody knows the value of the magnetic field 'inside' a sphere? I am sure it should be uniform throughout(Magnetization itself?!). But when I am trying to calculate it through convolution with the dipole, I am getting a value close to zero inside the sphere.
Thanks in advance
Guru
Hi Guru,
I think you need to provide more information. For instance:
1. Is a solid or hollow sphere?
2. Is the sphere uniformly charged? (i.e., its charge/dimensional density is constant?)
The link below provides you with some insights to calculate the magnetic field generated by a rotanting solid charged sphere.. http://www.physicspages.com/2013/04/07/magnetic-field-of-rotating-sphere-of-charge/
I hope it helps!
Thank you Erick,
The sphere is solid and is uniformly charged. The point is that the 3D dipole matrix which I am using to simulate and perform convolution has 0 in all the places where x=y=z. I need to find the value of magnetization of a uniformly charged sphere and substitute it to these values to get a uniform field inside the sphere. This, I think would be an approach to achieve this.
Definitely not even throughout. Take a look at Mie theory - in the original paper you'll find some diagrams of magnetic flux through spheres.
Take a look at slide 37 in:
https://www.brainshark.com/malvern/vu?pi=zH6zZlnQjz5chz0&tx=preview
plenty of papers can be found through Google; isn't it the problem "done" in Jackson?
Hi Marcel. I think you need to explain 'done in Jackson! Is that Michael Jackson? I believe he is deceased...
A stationary charged sphere does not produce a magnetic field. Magnetic field will be produced only if it is moving. It is difficult to say what would be the field if we have no information with regard to its motion. Let us assume that it is rotating about an axis going through its centre.In doing this we first need to determine the Magnetic field due to a uniformly charged rotating ring about its axis. This can be then integrated to determine the magnetic field due to a rotating charged disc and then due to a rotating charged sphere. Calculation is straight forward and results will show the magnetic field is maximum at the centre and direction is along rotational axis. Determination of magnetic field at a point inside sphere but lying outside the the rotationa laxis may need the solution of Poisson's equation.
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