Hs Electric
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What exactly is magnetism?
I know about N and S poles and atomic dipoles that line up to form permanent magnets and stuff ( college physics ) but even in class and all through HS and even now I still don't understand magnetism fully. I know accelerated charges produce a magnetic field but why or how? Is that a mystery or is that as far as scientists know today? Attraction between different charges produce electrostatic force but magnetism seems like the same nature to me but just a different behavior How is magnetism not related to electric charges fundamentally or just a different manifestation of it? I googled and googled it time after time and can't find the answer. Anyone have any insight?
>I googled and googled it time after time and can't find the answer.
You'll find the answer (well, I did, 20 yrs ago) in French's Special Relativity by MIT Press.
Hold on to your hat.
You know about length contraction? The ol' Lorenz-Fitzgerald rule?
Good.
Imagine a wire containing electrons and ions. You are at rest with respect to the wire. The electrons and ions are therefore equally spaced in your frame of reference. Now imagine a current in the wire. Electrons are moving (slowly) but the spacing between electrons and ions is the same. So there's no nett charge on the wire.
Now imagine a point charge moving with respect to the wire. In the lab frame the wire is still neutral.
Let's imagine what the point charge sees. If the point charge is moving in the same direction at the same speed as the electrons in the wire, then it sees just an array of static electrons.
But if the point charge 'looks' at the ions in the wire, it sees an array of positive charge moving past it. And thanks to relativistic contraction, the space between the ions is now a tad less - meaning that the point charge sees an increase in the +ve charge density in the wire.
So it is attracted to it.
In the point charge's frame there is an electrostatic force.
In the lab frame there is no such thing - the wire is neutral - but the point charge *does* feel a force. And we call that magnetism.
In summary.
Electrostatics in a moving frame is the cause of magnetism in a non-moving frame.
There y'go.
Any good undergrad text in Physics will cover this.
(and yes, the gamma factor is unbelievably tiny for the motion of electrons, but the great stength of electrostatic forces makes this miniscule contraction still readily detectable)
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