Rotational Secondary E Field

You have done very well in finding an example by hand that obeys the simultaneous equations

curl E = 0
del E = rho / epsilon0
E = -omega sub 0 A
Boundary value FEM code is needed in general using any convenient computer package.

Sent: 07/09/2017 10:16:30 GMT Daylight Time
Subj: Re: Rotational Secondary E Field

agreed. Detailed inspection of my calculation showed, that the result for curl E can be simplified and is indeed zero. Therefore this is a valid example for a secondary E field. Finding examples in this field is really tricky.


Am 07.09.2017 um 11:08 schrieb EMyrone:

If curl E is not zero the secondary E must be dynamic, with curl E + partial B / partial t = 0 through the Faraday law of induction. My plans for UFT388 are to consider conservation of antisymmetry in electrodynamics, with the Maxwell displacement current and partial A / partial t not equal to zero. So this result looks to be useful for electrodynamics. By definition, curl E is zero for electrostatics as you know

To: EMyrone
Sent: 07/09/2017 09:14:11 GMT Daylight Time
Subj: PS magn. dipole

PS: I found a spin connection omega_0 which produces a fully rotational
secondary E field according to

E = – omega_0 A.

This E is not curl-free but this should not be required. The divergence
is zero, therefore

rho/eps_0 = div E = 0,

in accordance with the fact that a magnetic dipole has no current
density (at most an infinitesimal one).


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