Electron magnetic replusion compared to coulomb attraction

*tris_d*

Quote by cragar

What about starting with an infinite line charge and using gauss's law to find the E field. And then figure out what speed the line charges need to move to overcome the force from the E field. [itex] I=\lambda v [/itex] lambda is your charge per lenght.
And then use amperes law to find the B field of the moving line charge.
[itex] B=\frac{\mu_0\lambda v}{2\pi r} [/itex]

Apparently this equation did not exist until 1998, so I guess the derivation is far from trivial. You would need circle instead of line. And since you need vectors instead of Gauss law you would have to use Biot-Savart law and Lorentz force equations, which in other words is Ampere's force law integrated over circle. That's how they did it anyway:

http://downloads.hindawi.com/archive/1998/079537.pdf

cragar

I was thinking of the B field created from the motion of the electrons and not their intrinisic dipole moment. Gauss's law would give you a vector.

Vanadium 50

This thread is rapidly filling with misinformation. Closed.

Quote by tris_d

"...the force of one magnetic dipole on another has not yet been derived in electromagnetism textbooks or the periodical literature."[/I]

Very interesting.

And that's grossly out of context. The authors are discussing a closed-form analytic expression, and by their own admission, what they come up with is an approximation.

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cragar	I was thinking of the B field created from the motion of the electrons and not their intrinisic dipole moment. Gauss's law would give you a vector.