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#666 1867 · British Association for the Advancement of Science (Maxwell, Thomson/Kelvin, Jenkin) · Telecommunications / metrology

Instead of one physical object every lab had to copy, the ohm was defined as an experiment any lab could run itself

the problem

Every telegraph company measured electrical resistance against its own private reference

background

By the early 1860s, transatlantic telegraph cables were failing or underperforming in ways engineers struggled to diagnose, because signal speed depended directly on a cable's electrical resistance and nobody had a reliable way to say what "one unit of resistance" actually meant. Telegraph companies and instrument makers each worked from their own ad hoc reference — typically a specific length of a specific wire kept in their own workshop — so a resistance measurement made in one lab could not be trusted or even compared against one made in another.

The obvious fix, and the one German instrument maker Werner Siemens proposed to the same 1861 British Association committee, was to settle on one universally agreed physical object as the reference — in his case, a standard column of mercury of specified dimensions — and have every laboratory in the world calibrate against copies of it. That solved the agreement problem in principle, but tied the entire unit's meaning to a single artifact, or to careful copies of it, that could corrode, deform, or go missing, with no independent way to check a copy's accuracy except by comparing it back to an original sitting in one physical place.

what everyone would do

The obvious fix, and the one German instrument maker Werner Siemens proposed to the same 1861 committee, was to settle on one universally agreed physical object as the reference — in his case, a standard column of mercury of specified dimensions — and have every laboratory in the world calibrate against copies of it. That solved the agreement problem in principle, but tied the entire unit's meaning to a single artifact, or to careful copies of it, that could corrode, deform, or go missing, with no independent way to check a copy's accuracy except by comparing it back to an original sitting in one physical place.

what they saw

Maxwell and Thomson saw that a standard didn't need an object at all if it could instead be defined as the outcome of a physical experiment anyone could, in principle, repeat exactly — a coil of known dimensions spun at a known speed in a known magnetic field obeys the same electromagnetic laws everywhere, so deriving the unit that way meant any sufficiently equipped laboratory could arrive at the identical value independently, without ever needing to possess, borrow, or compare against a single master artifact.

the move

Under William Thomson's (later Lord Kelvin's) direction, James Clerk Maxwell and a team devised a method of calibration using a coil of precisely known geometry spun at a measured rate inside a known magnetic field — a physics experiment from which the unit of resistance could be derived directly from first principles (length, mass, time) rather than copied from an object. Adopted in 1867 as the "ohm," this let any properly equipped laboratory anywhere in the world derive the identical unit independently, from scratch, without ever needing to possess or compare against a single physical master reference.

why it works

Because the ohm was defined by a reproducible procedure rooted in fixed physical law rather than by a specific object, its meaning didn't depend on any one artifact's continued existence or condition — a lab in Glasgow and a lab an ocean away could each derive the same unit from their own apparatus and agree without ever shipping a reference back and forth. The committee still built physical wire-coil resistors in 1865 for everyday practical use, but crucially those copies could always be re-verified against the underlying experiment if they were ever suspected to have drifted, rather than being the last word on what the unit actually meant.

the payoff

The committee still fabricated a set of physical wire-coil resistors in 1865 as practical everyday references for labs to work with, but those objects were calibrated against — and could always be re-verified against — the reproducible spinning-coil experiment, rather than being the definition themselves. The BA's units of resistance, current and voltage became essentially the ohm, amp and volt still in use today, with far-reaching effect on all later precision electrical measurement.

where it breaks

This approach only works when the underlying physical law is well enough understood and stable enough that the experiment genuinely produces the same result everywhere, and when laboratories actually have the skill and equipment to carry out the defining experiment themselves rather than just trusting a certificate — early adopters still needed the physical wire-coil copies precisely because reproducing Maxwell's full experiment accurately was itself a demanding undertaking few labs could manage routinely. A procedure-based standard is only as reproducible in practice as the hardest step in the procedure, which is why practical, artifact-based secondary standards persisted alongside it for everyday use.

what came after

The physical wire-coil standards the committee built in 1865 survive today in the London Science Museum's archives, but the underlying approach — define a unit by a reproducible physical procedure rather than an artifact — proved durable enough that when the ohm's practical realization was finally replaced in 1990, it was replaced by an even more precisely reproducible physical phenomenon, the quantum Hall effect, rather than a physical object. IEEE marked the 1861-1867 work with a Milestone plaque at the University of Glasgow's Hunterian Museum in 2019.

references

  1. [1]IEEE Milestone Award Event | Standardisation of the Unit of ResistanceIEEE UK and Ireland Section, 2023ieee-ukandireland.org
  2. [2]Standardization of the Ohm as a Unit of Electrical Resistance, 1861-1867Proceedings of the IEEE (via University of Edinburgh Research Explorer), 2019research.ed.ac.uk

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