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Can a situation be nearly electrostatic?
A very small current
is always present in any electrostatic setup; right? Does it
change distributions of E outside conductors significantly
(with respect to an ideal distribution)? Probably not.
Do you agree that if rho were very large, such as in sulfur
in a vacuum, then the two silver dots separated by 10 cm
would produce a dipole field in 3D (but not too close to a
small silver dot)?
In our carbon-impregnated paper the field seems to be
very different from that of a dipole, it is like a 2D field
of two long cylinders.
Clearly something changes when
rho is changed from something like 10^-15 to 0.32 ohm*m.
Would the transition be gradual or sudden? Should one
expect something intermediate between the 3D and the 2D
field for some range of rho values? I think so. Why not?