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peripatein
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According to what you just posted, should I then simply substitute the appropriate j (in terms of M and c) for each of the two planes with fields 2*pi*j/c?
peripatein said:According to what you just posted, should I then simply substitute the appropriate j (in terms of M and c) for each of the two planes with fields 2*pi*j/c?
peripatein said:Using the RHR the fields would form a unified field of 4*p*M is the positive z direction. Do you agree?
I believe it was because you were considering the field of only one straight wire of current rather than the superposition of the fields of all the current elements in the surface.peripatein said:I do see it, using B-S Law and the RHR, but why didn't my initial application of the RHR get me there? Why did the RHR "seemingly" yielded the wrong result?
Also, how could I have convinced myself that there was no volumetric charge density rho and only surface density? Is it because based on Gauss's Law a volumetric charge density would entail an electric field and there is none in this set-up?
peripatein said:Could we have combined both M in the x direction (this set up) and P in the z direction (previous set up) into a new set up? Will it make any sense?
The purpose of this analysis is to understand the behavior of the magnetic field surrounding an infinitely long cylinder with a constant magnetic field. This can provide insights into the properties and interactions of magnetic materials, as well as aid in the design of devices that utilize magnetic fields.
The magnetic field of an infinite cylinder with constant magnetization can be calculated using the Biot-Savart law, which relates the magnetic field at a point to the current flowing through a wire. In this case, the wire is replaced by an infinitely long cylinder with a constant magnetization.
The strength of the magnetic field of an infinite cylinder with constant magnetization is affected by the magnitude and direction of the magnetization, as well as the distance from the cylinder. Additionally, the magnetic properties of the surrounding medium can also have an impact on the field.
Yes, the magnetic field of an infinite cylinder with constant magnetization can be visualized using magnetic field lines. These lines represent the direction and strength of the magnetic field at different points surrounding the cylinder.
The magnetic field of an infinite cylinder with constant magnetization has various practical applications, such as in magnetic storage devices, MRI machines, and magnetic levitation systems. It can also be used in the development of new materials and technologies that utilize magnetic fields.