Charles Augustin de Coulomb
Article
by: J J O'Connor and E F Robertson (University of St. Andrews, Scotland)
Born: 14 June 1736
in Angoulême, France
Died: 23 Aug 1806 in Paris,
France
Charles Augustin Coulomb's father was Henry Coulomb and his mother
was Catherine Bajet. Both his parents came from families which were well known
in their fields. His father's family were important in the legal profession and
in the administration of the Languedoc region of France, and his mother's family
were also quite wealthy. After being brought up in Angoulême, the capital of Angoumois
in southwestern France, Coulomb's family moved to Paris. In Paris he entered the
Collège Mazarin, where he received a good classical grounding in language, literature,
and philosophy, and he received the best available teaching in mathematics, astronomy,
chemistry and botany.
At this stage in his education there was a crisis for
Coulomb. Despite his father's good standing, he had made unsuccessful financial
speculations, had lost all his money and moved from Paris to Montpellier. Coulomb's
mother remained in Paris but Coulomb had a disagreement with her over the direction
his career should take so he left Paris and went to Montpellier to live with his
father. At this stage Coulomb's interests were mainly in mathematics and astronomy
and while in Montpellier he joined the Society of Sciences there in March 1757
and read several papers on these topics to the Society.
Coulomb wanted to enter
the Ecole du Génie at Mézières but realised that to succeed in passing the entrance
examinations he needed to be tutored. In October 1758 he went to Paris to receive
the tutoring necessary to take the examinations. Camus had been appointed as examiner
for artillery schools in 1755 and it was his Cours de mathématique that
Coulomb studied for several months. In 1758 Coulomb took the examinations set
by Camus which he passed and he entered the Ecole du Génie at Mézières in February
1760. He formed a number of important friendships around this time which were
imporatnt in his later scientific work, one with Bossut who was his teacher at
Mézières and the other with Borda.
Coulomb graduated in November 1761. He was
now a trained engineer with the rank of lieutenant in the Corps du Génie. Over
the next twenty years he was posted to a variety of different places where he
was involved in engineering, in structural design, fortifications, soil mechanics,
and many other areas. His first posting was to Brest but in February 1764 he was
set to Martinique in the West Indies. Martinique fell under the sovereignty of
France under Louis XIV in 1658. However Martinique was attacked by a number of
foreign fleets over the following years. The Dutch attacked it in 1674 but were
driven off, as were the English in 1693 and the English again in 1759. Martinique
was finally captured by the English in 1762 but were returned to France under
the terms of the Treaty of Paris in 1763. The French then made attempts to make
the island more secure by building a new fort.
Coulomb was put in charge of
the building of the new Fort Bourbon and this task occupied him until June 1772.
It was a period during which he showed the practical side of his engineering skills
which were needed to organise the construction, but his experiences would play
a major role in the later theoretical memoirs he wrote on mechanics. As far as
Coulomb's health was concerned these were difficult years and the illnesses which
he suffered while on Martinique left him in poor health for the rest of his life.
On his return to France, Coulomb was sent to Bouchain. However, he now began
to write important works on applied mechanics and he presented his first work
to the Académie des Sciences in Paris in 1773. This work, Sur une application
des règles, de maximis et minimis à quelque problèmes de statique, relatifs à
l'architecture was written (in Coulomb's words, see for example [1]):-
...
to determine, as far as a combination of mathematics and physics will permit,
the influence of friction and cohesion in some problems of statics.
Perhaps
the most significant fact about this memoir from a mathematical point of view
is Coulomb's use of the calculus of variations to solve engineering problems.
As Gillmor writes in [1]:-
In this one memoir of 1773 there
is almost an embarrassment of riches, for Coulomb proceeded to discuss the theory
of comprehensive rupture of masonry piers, the design of vaulted arches, and the
theory of earth pressure. In the latter he developed a generalised sliding wedge
theory of soil mechanics that remains in use today in basic engineering practice.
A reason, perhaps, for the relative neglect of this portion of Coulomb's work
was that he sought to demonstrate the use of variational calculus in formulating
methods of approach to fundamental problems in structural mechanics rather than
to give numerical solutions to specific problems.
It is often
the case that a sophisticated use of mathematics in an application to an area
where most have less mathematical sophistication, gives the work a long term values
which is not often seen at the time. The memoir was certainly highly valued by
the Académie des Sciences for it led to him being named as Bossut's
correspondent on 6 July 1774. From Bouchain, Coulomb was next posted to Cherbourg.
While he was there he wrote a famous memoir on the magnetic compass which he submitted
for the Grand Prix of the Académie des Sciences in 1777.
This 1777 paper won
Coulomb a share of the prize and it contained his first work on the torsion balance
[1]:-
... his simple, elegant solution to the problem of torsion
in cylinders and his use of the torsion balance in physical applications were
important to numerous physicists in succeeding years. ... Coulomb developed a
theory of torsion in thin silk and hair threads. Here he was the first to show
how the torsion suspension could provide physicists with a method of accurately
measuring extremely small forces.
Another interesting episode
occurred during the time which Coulomb spent at Cherbourg. Robert-Jacques Turgot
was appointed comptroller general by Louis XVI on 24 August 1774. He began to
feel threatened by his political opponents in 1775 and began a series of reforms.
Among these was the reform of the Corps du Génie and Turgot called for memoirs
on its possible reorganisation. Coulomb submitted a memoir giving his ideas and
it is a fascinating opportunity to understand his political views. Coulomb wanted
the state and the individual to play equal roles. He proposed that the Corps du
Génie in particular, and all public service in general, should recognise the talents
of its individual members in promotion within the organisation.
In 1779 Coulomb
was sent to Rochefort to collaborate with the Marquis de Montalembert in constructing
a fort made entirely from wood near Ile d'Aix. Like Coulomb, the Marquis de Montalembert
had a reputation as a military engineer designing fortifications, but his innovative
work had been criticised by many French engineers [2]:-
Viewing
fortresses as nothing more than immense permanent batteries designed to pour overwhelming
fire on attacking armies, Montalembert simplified the intricate geometric designs
of Vauban and relied on simple polygonal structures, often with detached peripheral
forts instead of projecting bastions.
During his time at Rochefort,
Coulomb carried on his research into mechanics, in particular using the shipyards
in Rochefort as laboratories for his experiments. His studies into friction in
Rochefort led to Coulomb's major work on friction Théorie des machines simples which won him the Grand Prix from the Académie des Sciences in 1781. In this memoir
Coulomb [1]:-
... investigated both static and dynamic friction
of sliding surfaces and friction in bending of cords and in rolling. From examination
of many physical parameters, he developed a series of two-term equations, the
first term a constant and the second term varying with time, normal force, velocity,
or other parameters.
Because of this prize winning work, the
authors of [5] write:-
Coulomb's contributions to the science of
friction were exceptionally great. Without exaggeration, one can say that he created
this science.
In fact this 1781 memoir changed Coulomb's life.
He was elected to the mechanics section of the Académie des Sciences as a result
of this work, and he moved to Paris where he now held a permanent post. He never
again took on any engineering projects, although he did remain as a consultant
on engineering matters, and he devoted his life from this point on to physics
rather than engineering. He wrote seven important treatises on electricity and
magnetism which he submitted to the Académie des Sciences between 1785 and 1791.
These seven papers are discussed in [6] where the author shows that Coulomb:-
... had obtained some remarkable results by using the torsion balance
method: law of attraction and repulsion, the electric point charges, magnetic
poles, distribution of electricity on the surface of charged bodies and others.
The importance of Coulomb's law for the development of electromagnetism is examined
and discussed.
In these he developed a theory of attraction and
repulsion between bodies of the same and opposite electrical charge. He demonstrated
an inverse square law for such forces and went on to examine perfect conductors
and dielectrics. He suggested that there was no perfect dielectric, proposing
that every substance has a limit above which it will conduct electricity. These
fundamental papers put forward the case for action at a distance between electrical
charges in a similar way as Newton's theory of gravitation was based on action
at a distance between masses.
These papers on electricity and magnetism, although
the most important of Coulomb's work over this period, were only a small part
of the work he undertook. He presented twenty-five memoirs to the Académie des
Sciences between 1781 and 1806. Coulomb worked closely with Bossut, Borda, de
Prony, and Laplace over this period. Remarkably he participated in the work of
310 committees of the Academy. He still was involved with engineering projects
as a consultant, the most dramatic of which was his report on canal and harbour
improvements in Brittany in 1783-84. He had been pressed into this task against
his better judgement and he ended up taking the blame when criticisms were made
and he spent a week in prison in November 1783.
He also undertook services
for the respective French governments in such varied fields as education and reform
of hospitals. In 1787 he made a trip to England to report on the conditions in
the hospitals of London. In July 1784 he was appointed to look after the royal
fountains and took charge of a large part of the water supply of Paris. On 26
February 1790 Coulomb's first son was born, although he was not married to Louise
Françoise LeProust Desormeaux who was the mother of his son.
When the French
Revolution began in 1789 Coulomb had been deeply involved with his scientific
work. Many institutions were reorganised, not all to Coulomb's liking, and he
retired from the Corps du Génie in 1791. At about the same time that the Académie
des Sciences was abolished in August 1783, he was removed from his role in charge
of the water supply and, in December 1793, the weights and measures committee
on which he was serving was also disbanded. Coulomb and Borda retired to the country
to do scientific research in a house he owned near Blois.
The Académie des
Sciences was replaced by the Institut de France and Coulomb returned to Paris
when he was elected to the Institute in December 1795. On 30 July 1797 his second
son was born and, in 1802, he married Louise Françoise LeProust Desormeaux, the
mother of his two sons. We mentioned above that Coulomb was involved with services
to education. These were largely between 1802 and 1806 when he was inspector general
of public instruction and, in that role, he was mainly responsible for setting
up the lycées across France.
Let us end with quoting the tribute paid to him
by Biot who wrote:-
It is to Borda and to Coulomb that one
owes the renaissance of true physics in France, not a verbose and hypothetical
physics, but that ingenious and exact physics which observes and compares all
with rigour.