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What I don't get is why ampere is a fundamental unit while coulomb isn't. I mean, it seems more natural to think of amperes and coulombs per second rather than to define coulombs as the amount of charged carried by a 1 amp current in 1 second.



Techinically, neither the Coulomb nor the Ampere are fundmental. Both are derived from the meter, second, and kilogram.

http://en.wikipedia.org/wiki/File:SI_base_unit.svg

Now, in the abstract, yours is the more natural definition. But experimentally, it turns out to not give the best accuracy.

I believe one starts with (1) the meter (which is based on a second defined using a atomic transition, plus light) and (2) the Newton (which is the force required to accelerate the all-important kilogram at 1 meter per second squared). Then an Ampere is the amount of current flowing through two parallel wires required to produce a force of one Newton per meter between the wires.

http://en.wikipedia.org/wiki/Ampere#Definition

Now, the technology is apparently improving enough that it may be possible to actually count elementary charges like you suggest. See here:

http://en.wikipedia.org/wiki/Ampere#Proposed_future_definiti...




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