Talk:Duality (electricity and magnetism)

those electromagnetism is field in electronics? capacitance is dual to resistance or inductance? --210.6.198.246 09:20, 12 Jun 2005 (UTC)

resistance is not the dual of conductance, is it? resistance is the dual of resistance

--I do not think so, either. resistance is the inverse of conductance, i.e. $R=g^{-1}$. --Sirshane13 19:26, 18 September 2007 (UTC)

Proposed merger

Dual has a very specific meaning which is clearly defined in this article and is a well known concept in electrical engineering. The duality (electrical engineering) article includes the time-domain/frequency-domain duality which is most decidedly not included in this definition. That is a duality of an entirely different sort. On that basis, I am against the merger. Could be persuaded though, if the non-conforming items were left out. In that case I think the title should be "Dual" as that is the commonly used term. We will probably then get into the "electronics is too exclusive a term" argument, so Dual (electrical engineering) or Dual (electrical science) would be my suggestion. SpinningSpark 22:36, 24 April 2008 (UTC)

Dual Lorentz force - electric field affecting movement of magnetic moment?

It seems there is kind of dual Lorentz force for magnetic moment(dipole) travelling in electric field - it looks very important, but it's difficult to find any information about it(?)

For example imagine classical electron traveling in proton's electron field (or macroscopic magnet in electric field) - let's change the reference frame such that for infinitesimal time electron stops and proton is moving in also magnetic field created by quite large electron's magnetic moment - because of 3rd Newton's law, resulting Lorentz force should also affect electron.

(3) equation here is Lagrangian for such electron's movement: $\mathbf {L} ={\frac {1}{2}}m\mathbf {v} ^{2}+{\frac {Ze^{2}}{r}}+{\frac {Ze}{c}}\left[\mathbf {v} \cdot \left({\frac {\mu \times \mathbf {r} }{r^{3}}}\right)\right]$

the last term here corresponds to this electric field-magnetic moment interaction. Something similar can be found in Maxwell's equations for magnetic monopoles. Quantum analogue of this interaction is for example spin-orbit interaction. — Preceding unsigned comment added by 195.150.224.239 (talk) 11:06, 20 September 2011 (UTC)

Duality_(mathematics). (or why do we need this?)

Why is this page needed? OK I know why, but here is the reason for the question. In the past (maybe two or three times) when I needed this idea, I have linked to Duality_(mathematics) because it had the important idea, though not as specific as this one. This is really just a special case of Duality_(mathematics). However, linking to this page leaves out all the generalities of Duality_(mathematics), so I think at least this page needs a link to Duality_(mathematics) close to the top. Gah4 (talk) 20:28, 8 March 2019 (UTC)

Complementarity

The hypothetical magnetic monople shows that duality here is not reality. The relation of the E and M fields is complementarity in a differential 2-form:

• Mathematical descriptions of the electromagnetic field#Differential forms approach

The equations dF = 0 and d*F = J are a concise expression of E/M understanding where the fields are complementary in constructing F. Rgdboer (talk) 22:14, 16 May 2023 (UTC) edit — Rgdboer (talk) 22:16, 16 May 2023 (UTC)