electrodynamics – Elektromagnetisme http://elektromagnetisme.no The home of FYS1120 Mon, 20 Oct 2014 11:23:54 +0000 en-US hourly 1 https://wordpress.org/?v=4.9.3 28429679 Note on the magnetic vector potential http://elektromagnetisme.no/2011/10/27/note-on-the-magnetic-vector-potential/ http://elektromagnetisme.no/2011/10/27/note-on-the-magnetic-vector-potential/#respond Wed, 26 Oct 2011 22:29:56 +0000 http://mindseye.no/?p=992 Continue reading ]]>

Magnetic dipole (Source: Wikipedia*)

In electrostatics we found it very convenient to introduce the concept of the electric potential. It gave us a straight forward way of calculating electric fields without doing any vector calculations or using any symmetry arguments. Can we introduce something similar for magnetic fields?  It turns out that because magnetic fields are divergence less we can find a vector potential who’s curl gives us the magnetic field! Even though this magnetic vector potential is not as useful as the electrostatic potential in elementary applications, it turns out to be of major importance in electrodynamics as well as classical mechanics and quantum mechanics. It might therefore be a good idea to get familiar with the concept and some of it’s properties already, especially if you are taking a degree in physics. In this note I explain how to find the vector potential, the concept of a gauge transformation and it’s fundamental equations relating it to currents in both electrostatics and electrodynamics. Read more here:

* Image found at http://en.wikipedia.org/wiki/File:VFPt_dipole_magnetic3.svg / CC BY-SA 3.0

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