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The question has been asked about the Coulomb balance and whether this is
always used with repelling charges.
I believe the answer to this is yes. ... If it is weak enough to allow
sufficient sensitivity for a meaningful measurement, you simply
cannot attain a stable equilibrium.
But isn't this just the same as the Cavendish Balance, with electrical
instead of gravitational forces? It is certainly possible to do the
gravitational attractive force, so the electrostatic attractive force
should also be doable in principle.
Tim Folkerts
FHSU Physics