May 1972 Popular Electronics
Table of Contents
Wax nostalgic about and learn from the history of early electronics. See articles
from
Popular Electronics,
published October 1954  April 1985. All copyrights are hereby acknowledged.

Georg Simon Ohm's
eponymous "law," i.e., Ohm's law, is perhaps the bestknown formula in the realm of
electricity and electronics. Although Mr. Ohm did not know it at the time, his conclusion
holds up in both the macro and micro scale worlds of electron behavior. Voltage is equal
to the product of a resistance and the current flowing through it, E = I * R. It is hard
to believe that we have only had his result, announced in 1825, at our disposal for less
than 200 years. A thorough grasp of Ohm's law is a minimum requirement for entry into the
fields of electrical and electronics work; fortunately, only a fundamental grasp of
algebra is required. Kirchhoff's law is a relatively easy next step. The big hurdle comes
with wanting to get an engineering degree where mastery of Maxwell's equations and the
calculus necessary to work with the formulas in their various forms.
The Origin of Ohm's Law
By David L. Heiserman
Today, Ohm's Law stands as one of the most powerful
and commonly used laws of electricity and electronics. It states that the amount of current
flowing through a conductor (or resistor) is equal to the applied voltage divided by the resistance
of the conducting material. In mathematical terms, the equation generally reads I = E/R. What
seems simple and obvious today, however, took a great deal of genius, courage and effort to
propose for the first time in 1825. Georg Simon Ohm, a German physicist and mathematician,
was a man who had the right kind of genius and courage .
Scientists were aware of a "galvanic fluid" (electrical current) that played some mysterious
role in their studies; but the elusive and shortlived nature of currents in static electricity
made them a difficult subject for any kind of meaningful study.
Alessandro Volta completely changed all this in the early months of 1800 when he formally
announced the discovery of his electric generating cell. His "hydroelectric battery," forerunner
of modern wetcell batteries, gave scientists their first source of current that could flow
continuously. For nearly twenty years, however, all the studies of galvanic currents suffered
from one seĀrious disadvantage  there was no way to measure the amount of current flow.
The breakthrough came in 1820 when Oersted showed that a current passing through a wire
produces a magnetic field. A year later, Schweigger and Poggendorff used Oersted's findings
to invent the galvanoscope  a crude sort of galvanometer made of hundreds of turns of wire
wrapped around an ordinary compass. Current flowing through the wire produced a magnetic field
that deflected the compass needle by a proportional amount.
Georg Ohm, then a high school mathematics and physics teacher in Cologne, saw the possibility
of combining Volta's hydroelectric battery with a galvanoscope to study the nature of electrical
current flow.
Using equipment he constructed himself, Ohm set out to find the exact relationship between
applied potential, the length of a conductor, and the amount of deflection of the needle in
a galvanoscope. His procedure was to connect the galvanoscope directly to the battery and
carefully note the position of the compass needle. This gave him a reference reading. He then
inserted a wire of known composition and length into the circuit and noted the new position
of the needle. This was his experimental reading. Of course, the resistance of the test wire
made the needle show a smaller amount of deflection in the experimental condition.
In 1825, Ohm reportedĀ·his first findings in a paper titled "Preliminary Notice of the
Law According to which Metals Conduct Contact Electricity." Publishing this paper turned out
to be a mistake that plagued Ohm for the next sixteen years.
Technically speaking, the equation Ohm presented in the paper was incorrect. It stated
that v = m log (1+x/r); where v was the decrease in the needle's deflection, x represented
the length of the conductor, r represented the resistivity of the conducting material, and
m stood for the amount of applied potential.
Just before his paper was scheduled to appear in print, Ohm repeated a few of his experiments
using a different kind of power source. The results didn't agree with his original findings,
and Ohm immediately saw he could develop a much simpler equation that didn't contain a logarithmic
term. By the time he contacted the publisher, however, the paper was already in print, and
the best he could do was publish a short letter promising to run a new series of experiments.
Ohm stated he would show that the amount of current flowing through a circuit goes to zero
as the length of the conductor approaches infinity. This bit of mathematical talk constituted
his second mistake  a political one in this case. His letter infuriated most scientists of
the time because they firmly believed the only proper scientific procedure was to gather mountains
of data before playing with any kind of equation.
Ohm's incorrect equation was the result of a widespread lack of knowledge about the basic
theory of batteries. After it was too late to stop publication of his paper, Ohm realized
he had used an unstable power source  one whose output voltage varied with the amount of
loading.
Poggendorff, one of Ohm's few allies in the scientific community, suggested he use a Seebeck
thermoelectric battery rather than Volta's hydroelectric battery.
The thermoelectric battery was the first practical device to take advantage of the thermoelectric
effect discovered by Seebeck in 1821. The Seebeck effect makes two unlike, tightly bonded
conductors produce an electrical potential when one of them is heated. The output voltage
is small, but so is the internal resistance. So, Ohm repeated all his experiments using the
stable thermoelectric battery and galvanoscope. The equation we now know as Ohm's Law fit
the data from his new series of experiments.
In 1826, Ohm was ready to show the world he knew what he was talking about. His second
paper was entitled "Determination of the Law According to which Metals Conduct Contact Electricity,
Together with the Outlines of a Theory of Volta's Apparatus and the Schweigger Galvanoscope."
The corrected equation read, X = a/(b + x); where X represents the amount of current flow
through the conductor, a stands for the exciting voltage, x is the resistance of the conductor
under test, and b is the combined internal resistance of the power source and galvanoscope.
In the early part of 1827, Ohm published yet a third milestone paper in the history of
science called "The Galvanic Battery Treated Mathematically." He then believed he had completely
vindicated himself for proposing an incorrect equation and was confident that his colleagues
would finally accept his law of electrical conduction.
The scientific community, however, was still not ready to accept Ohm and his works. For
one thing, the equation seemed too simple  far too simple to explain a phenomenon that had
been challenging the best minds of Europe and America for nearly thirty years. Then, of course,
there was Ohm's widely misunderstood statements in the letter following his first paper. Most
reputable scientists still considered Ohm a quack. Bitter and disappointed, Ohm returned to
his teaching profession.
Six years passed before a few influential scientists began taking serious looks at Ohm's
work. The incident that touched off this mild renewal of interest was a paper published by
Pouillet in 1831. Pouillet had unwittingly repeated Ohm's work, and he had arrived at exactly
the same results. Pouillet believed he was the founder of the law of electrical conduction,
and so did most of the scientists of the time. Several scientists, however, noted a strong
similarity between Ohm's work and Pouillet's paper.
In 1841, sixteen years after Ohm announced his law of electrical conduction, the British
Royal Society presented him the Coply gold medal for "the most conspicuous discovery in the
domain of exact investigation." Ohm thus received proper credit for his work, a formal apology
for the delay, and a welldeserved round of applause from his peers.
Ohm died in 1854; and, exactly ten years later, the British Association for the Advancement
of Science adopted the ohm as the unit of measure for electrical resistance. Thus Ohm (like
Ampere and Volta) is now immortalized in the everyday language of modern electrical engineers
and technicians everywhere.
Posted October 11, 2017
