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Jim Green asked:
Does it make any sense to say something like one electric field
interacts with another?
Several people including L.K. have correctly made the point that
in classical physics, electric fields do not interact.
I would like to supplement this by pointing out that if we don't limit
ourselves to *classical* physics, it is possible to have quite interesting
nonlinear interactions between electromagnetic fields. The buzzword is
"light-by-light scattering".