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Timeline for Current geometry and Ampere's law

Current License: CC BY-SA 3.0

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Oct 4, 2023 at 2:41 answer added NinjaDarth timeline score: 0
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Nov 25, 2018 at 23:03 comment added ProfRob Ampere's law is used to derive the continuity conditions for H. Hence Ampere's law is used extensively whenever there is an interface between different media.
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Mar 16, 2017 at 11:57 comment added PhyEnthusiast The differential form works at every point not on contours and surfaces. So if you are using the differential form, you will have to work out the curl of B at every point.
Mar 13, 2017 at 15:39 comment added The Photon The two forms are mathematically equivalent according to Stokes' theorem.
Mar 12, 2017 at 17:45 comment added ZeroTheHero @ThePhoton I can't see your suggestion being correct. For an infinitely long wire carrying current $I$ the $\vec B$ field at distance $\rho$ is just $\vec B=\frac{mu_0I}{2\pi \rho}\hat \phi$ and one easily verifies that $\nabla\times \vec B=0$ near that point, consistent with $\vec J=0$ near that point. Of course this is expected since $\vec\nabla\times B$ is local whereas the integral form of Ampere's law is global.
Mar 12, 2017 at 16:44 comment added The Photon You can use the differential form $\vec\nabla\times{}\vec{B}=\mu_0\vec{J}$ in any geometry, and you probably do every time you use a FEM method to solve a magnetics problem.
Mar 12, 2017 at 6:37 history asked ZeroTheHero CC BY-SA 3.0