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Jack asked (his full message is shown below again)I don't understand your answer. My question stands on its own,
OK, so the force law gives the constant in terms of C. So I
need a measure of C that is independent of the force law.
Did I miss something?
You are assuming (as most textbook authors) that A is known
before C. In that case k is not used to define C, it must come
from a measurement (because all other units in the force law
already exist). In the sequence I plan to follow this spring the
Coulomb's law first appears as a proportionality equation.
How else can it be when Q has no units? The "fudge factor",
~9,000,000,000 will be then introduced to define coulomb.