Current to a cylindrical probe of arbitrary cross section is discussed. Pre
vious results for circular cylinders at the high bias and moderate radius R
of interest for electrodynamic bare tethers, for which space charge may be
ignored over a large neighborhood of the probe, depend in separate ways on
both R and perimeter p. These results are extended to a general convex cro
ss section by introducing certain equivalent radius R-eq. For any concave c
ross section, results use a proper equivalent perimeter p(eq), in addition
to R-eq. Finally, for the joint cross section of separate parallel probes,
certain effective perimeter p(eff) replaces p(eq). Rules to determine R-eq,
p(eq), and p(eff) are used to discuss collection interference among two or
more parallel cylinders when brought from far away to contact. (C) 2001 Am
erican Institute of Physics.