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Re: [Phys-l] induced electric field



Hi all-
I don't know enough about the old aether analogy, but mebbe that makes thing easier to think about. The point is that curl -> vorticity, and in the fluid analogy, vorticity keeps the medium from increasing its velocity uniformly. This has to work out, because Maxwell's equations were consistent with the old idea of the aether as a fluid.
Regards,
Jack

"Trust me. I have a lot of experience at this."
General Custer's unremembered message to his men,
just before leading them into the Little Big Horn Valley




On Tue, 24 Nov 2009, Carl Mungan wrote:

I think this is how one could proceed, but please correct me: We can
obtain E-vector as 1/4*pi multiplied by a "Helmholtz" (in this case
a "Biot-Savart") type integral of R-vector cross-producted with (c
k-hat) divided by the cube of the magnitude of R-vector. Here
R-vector is defined as the difference between the field position
(r-vector) and the source position (r'-vector), and the integral is
a volume integral over all source elements. Also c is the (constant)
value of dB/dt where k-hat is the unit vector along the z-axis.
Cylindrical coordinates are used, with axes aligned along the
symmetry axes of the square solenoid.

Oops, I meant to say use cylindrical coordinates for the circular
solenoid, and rectangular coordinates for the square one.
--
Carl E Mungan, Assoc Prof of Physics 410-293-6680 (O) -3729 (F)
Naval Academy Stop 9c, 572C Holloway Rd, Annapolis MD 21402-1363
mailto:mungan@usna.edu http://usna.edu/Users/physics/mungan/
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