I have five images of plots and diagrams to elucidate my query as you asked, but apparently PF doesn't allow attached picture files. Is it possible to include images in this thread? Or should I just describe the plots and diagrams with text? Let me know if there's a way to attach images to...
Why do axisymmetric FEA models of magnets and their fields make the field farther from the axis appear denser than it really is when the flux line mode is enabled? I'm using the F.E.M.M. system at the moment. All integrals and graphs give correct values, but the depicted lines of flux appear...
Thanks Shyan...that clears things up. For some reason I wasn't notified of your response; I found this just now as I was trying to see if my query had gotten lost.
The force on a magnetic dipole in a magnetic field is the dot product of the magnetic moment and the gradient of the field B, but gradients are operations done on scalar fields to produce vector fields. How does one calculate the gradient of a vector field if field gradients are only defined...
Thank you, vanhees71. This answers my original query most precisely, which, paraphrased, asked: are there any known exceptions to the Ampere-Maxwell circuital law. Specifically I wanted to know if anyone had ever observed vector circulation in a magnetic field in the absence of any free...
That's an interesting observation. Assume we have a mass of ferromagnetic material with a specific degree of magnetization and there are no other magnetic field sources or changing electric fields present. Then a closed curve integral in the vicinity of the material but not passing through the...
In response to UltrafastPED, whose latest third reply was emailed to me but for some reason was not posted:
Yes: a closed curve line integral in a conservative vector field will always yield a zero result. The interesting thing about the magnetostatic field produced solely by a steady...
Derivation
Given the fact that we are dealing with a magnetostatic field, we can assume there are no changing electric fields to consider and that our field is being created by a steady current, so the use of Ampere's original circuital law ( unmodified by Maxwell ) is appropriate...
Is it possible for a magnetostatic field to exhibit vector circulation when no current ( free, bound or polarization ) and no time variant electric fields traverse the area defined by the closed line integral path? In other words: are there any known exceptions to Ampere-Maxwell circuital law...