On 4/15/11 6:55 PM, Brent Hilpert wrote:
   I think
the wordst was when I was aksed to descrtivbe a method of
 measuring something (the capacitance of a capacitor). I did so (an AC
 bridge) and was told 'That is a compariston and not a measurement',
 I am
 still waiting for a definition of 'measurement' (or an esample of
 one)
 which
 does not involve a comaprison to a standard. 
 I expect that what your instructor was getting at was that the use of
 an
 AC bridge typically involves comparison with another C, which also
 needs
 to be measured. It becomes a 'turtles all the way down' problem. This
 would be in contrast to a solution which examines Cx in terms of the
 definition of capacitance (time/charge) and breaks it down to more
 fundamental/axiomatic measurement units (i.e.,time,mass), even though
 this does involve comparison to some other standard.
 "That is a comparison and not a measurement" may not be a full
 expression of the distinction, but I think your instructor had a
 point.
 I'm not up to scratch on my measurement theory, what are the
 fundamental
 standards these days?, there's oscillation of the cesium atom for T,
 there was the Meter bar in Paris for D, but hasn't that been
 redefined?,
 etc. Or, how many fundamental standards do we need to derive
 everything
 else? 3?. 
 
   The metrology world typically uses calculable capacitors for C.  For
 voltage, Josephson junctions are the top dog, driven by a primary
 frequency standard.  This is a primary standard because the only other
 parameters are e and Planck's constant.  I believe quantum Hall effect
 devices are still used for R standards but I haven't kept up with
 that.  SET (single-electron tunneling) devices are en vogue as current
 standards but I don't know much about those either.
   In electronic metrology, "measurements" are carried out by
 comparison to these standards or derivatives thereof.  Voltage is
 measured potentiometrically via either a solid-state null detector or
 a SQUID (superconducting quantum interference device).  For
 capacitance, as in Tony's situation, I'd expect a passive AC bridge
 would be how it's done, comparing against (absolute best case) a
 calculable capacitor.  That gets you down to first principles, but the
 "measurement" is still a comparison.  As you stated above, measuring
 the RC time constant with a precision timer and a precision voltage
 source (both driven by primary standards, cesium fountain and
 Josephson junction array) is still comparing it, by my interpretation,
 mathematically against numbers calculated from those primary
 standards.  I'm not sure Tony's instructor actually had a point. 
We all agree there are always comparisons to some reference or other,
but the point I was attempting to make of the distinction between
approaches remains. The calculable capacitor situation relies on
another definition of C to calculably take the measurement back to that
of the more fundamental measurement of distance, as opposed to simply
calibrating it as another C (more turtles).