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Equations derived only from E-field & doppler effect


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Sorry if this is not the correct area of the forum to post this.

What if someone has equations derived only from E-field (no B-field) & doppler effect that correctly predicts the force between DC or AC carrying wire segments (including radio antenna modeling, radiation resistance, etc), inductance, charged particles inertia, and Relativity? Would that be of use and important?

The closest I've seen are equations based on Relativity for infinitely long parallel wires. There are some papers that go into further details using Relativity, but they didn't show real examples other than infinitely long parallel wires using length contraction. Their equations gave me incorrect results for the force on DC carrying wires perpendicular to each other.

Electromagnetism equations can correctly predict the force between DC or AC carrying wire segments (including radio antenna modeling, radiation resistance, etc), and inductance, but the equations require B-field, e.g. E' = γ(E + v x B)

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Studiot, thanks for the response to a question that's not so important. So speculation indicates mainstream does not have such equations. That's good news for the person who has the equations, and for mainstream when a paper is published, right? But then again it took Einstein something like 20 years before mainstream paid much attention to him. Not that such equations would even be as important. Maybe they are.

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21 minutes ago, Theoretical said:

Studiot, thanks for the response to a question that's not so important. So speculation indicates mainstream does not have such equations. That's good news for the person who has the equations, and for mainstream when a paper is published, right? But then again it took Einstein something like 20 years before mainstream paid much attention to him. Not that such equations would even be as important. Maybe they are.

 

Maybe you have new equations, maybe you are reinventing the wheel.

It's funny how the same subject doesn't appear for ages and then crops up in several places at once.
Just like London buses.

 

I have already mentioned to someone else today that you have to be careful when applying relativity via the lorenz factor to electric effects because total charge itself is lorenz invariant, but charge density is not. So the distribution of charge appears different in different frames of reference.
 

This effect arises because charge density or distribution depends upon a measurement of distance in the frame of assessment.
And, of course, distance is frame depenendent ie not lorenz invariant.

The total charge is the same in all frames because the return current path is often outside the system boundary, perhaps at infinity.

Edited by studiot
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