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Flat conductors (was I need help).



John Mallinckrodt wrote:

Since the resulting potential visibly (almost) satisfies the
required boundary conditions, the uniqueness property
(approximately) guarantees the solution.

Your boundary condition (making E parallel to margins
inside the conductor) makes me think about the well
known electrostatic boundary condition (E perpendicular
to the "margin" outside the conductor. Can both be nearly
satisfied at the same time? Probably not. But that is only a
guess.

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)? That what I would expect. Why not?

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?
Ludwik Kowalski