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Hi:
Yesterday I posed a question about the standard algorithm for
constructing electric field lines, using a dipole as a paradigm.
" What has recently begun to perplex me is that we have only paid
explicit
attention to the direction of the field and the correct proportionality
between the density of the field lines and the strength of the field
seems
to have appeared by magic."
Johm Denker peplied:
" That sentence is awfully hard to parse. It has too many "ands" and not
enough punctuation."
should the correct density suddenly appear.
I spoke of spheres, because I wanted to avoid some difficulties with
point charges. But these spheres can be arbitrarily small compared to the
distance between them. The E field just outside either sphere would be
predominently effected by only that sphere and would be symmetrically
distributed around it. My original question still remains.
Ed Schweber