What is the effect of distance on magnetic forces between electromagnetic coils?

AI Thread Summary
The discussion centers on the interaction between two electromagnetic coils separated by a large distance, questioning the presence of a magnetic action force on one coil without a reaction on the other. It highlights that Newton's third law applies only if interaction propagation is instantaneous. The concept of retarded interactions, where forces are not felt immediately due to distance, is referenced as a potential explanation for the observed phenomenon. The suggestion is made to consider Lorentz transformations for a more accurate analysis of the situation. Overall, the conversation emphasizes the complexities of electromagnetic interactions in relation to distance and relative motion.
bstruss
I have attached a drawing that depicts the situation of two electromagetic coils in space separated by a vast distance. It seems to me that in this case there would be a magnetic action force on the right coil but no reaction on the left coil. I'm probably missing something here but I would appreciate any pointers on what that might be. If the description or graphic is unclear, please let me know.

Thanks!

Illustration
 
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Newton's third law (in fact, the force concept as such) only holds if the propagation speed of the interaction is infinite. I have examined a similar problem (a retarded interaction when the objects are moving relatively to each other) on my webpage http://www.physicsmyths.org.uk/retard.htm.
 
Thomas, may be you need to use Lorents transformations (instead of Galilean) between systems?
 

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