CHAPTER VI.

COULOMB.

Great discoverers in science must usually be satisfied with having their

names attached to some one phase of scientific development, be it an

instrument, a law, a unit of measurement, a process of investigation or

some phenomenon which they first observed. The originality of Coulomb's

genius will be better appreciated, since besides having a unit of

electricity named after him, there is also a law in electro-magnetics

and a torsion-balance that will always be associated with his name. Few

men have been more ingenious in their ability to put complex ideas into

practical shape and give them simple mechanical expression by

instrumental methods. While his name is to be forever associated with

the science of electrostatics, he was profoundly interested in other

departments of physics, and for him to be interested always meant that

he would illuminate previous knowledge by practical hints and

suggestions and carry the conclusions of his predecessors a little

farther into science than they had ever gone before. His was typically

an experimental genius, and he must be considered one of the men of whom

not more than half a dozen are born in a century, who are, in Kipling's

strong term, "masterless"; who do not need to be taught, but who find

for themselves a path into the domain of the unknown.

Coulomb investigated the fundamental law in electricity and magnetism,

that attractions and repulsions are inversely as the square of the

distances, and showed that it held accurately for point-charges and

point-poles. He demonstrated that these interesting phenomena were not

chance manifestations of irregular forces, but that they represented a

definite mode of action of force, thus setting this department of

knowledge on a scientific basis. While in practical significance Ohm's

Law, discovered nearly a half century later, is of much more import,

Coulomb's discoveries are fundamental in character and, coming in the

very beginnings of modern electrical science, did much to guide the

infant science in the ways it should follow. The establishing of this

law contributed very largely to the rapid development of the twin

sciences of electricity and magnetism. It is experimental observation

that means most for a rising science; and, in fact, that Coulomb should

have been the pioneer in it stamps him as possessed not only of great

originality, but also of the power of independent thinking, which is

perhaps the most precious quality for the man of science.

The French investigator succeeded in demonstrating his law by two

distinct methods which are still used for illustration purposes in our

physical laboratories. In the first, he employed the torsion-balance

devised by Michell, and re-invented by himself, an instrument of exact

measurement which, in his hands, yielded as invaluable results as it did

in those of Faraday half a century later. The instrument depends on the

principle first established by Coulomb himself, that when a wire is

twisted, the angle of torsion is directly proportional to the force of

torsion. In the application of this principle, a fine wire is suspended

in a glass case, on the sides of which there is a graduated scale to

measure the degree of repulsion between two like poles of a magnet or

between similarly electrified bodies.

In his second research on the law of the inverse square, Coulomb used

what is known as the method of oscillations. A magnetic needle swinging

under the influence of the earth's magnetism is known to act like a

pendulum, and as such obeys the laws of pendular motion. In applying

this method, Coulomb caused the magnetic needle to oscillate, first,

under the influence of the earth's magnetism alone and then under the

combined influence of the earth and the magnet placed at varying

distances from the needle. The most interesting feature of this work is

the manner in which Coulomb succeeded in eliminating the important

factor of the earth's magnetism from the problem. It is so simple and

ingenious that it commands the admiration of investigators, who employ

it in their laboratory work even to the present day.

It is clear, then, that the International Committee which selected the

term coulomb for the electromagnetic unit of electrical quantity gave

honor where it was eminently due. Coulomb stands out as a man of

precision and accuracy, whose methods of exact measurement

revolutionized the rising science, and whose researches and discoveries

in physics and mechanics furnish ample justification for giving him a

place among the makers of electricity. He was one of the gifted men

whose original works ushered in so gloriously the nineteenth century,

and who laid the deep and firm foundations on which the last three

generations have built up the magnificent temple of electrical science.

Charles Augustin de Coulomb was born at Angoulême, June 14th, 1736. His

ancestors for several generations had been magistrates, and were looked

upon as representatives of the country nobility. He made his university

studies in Paris, and while still young, entered the army. From the

very beginning, however, his genius for mathematics was recognized, and

he was employed in the capacity of military engineer. To Americans, it

will be interesting to know that his first engineering project was

undertaken at Martinique, where he constructed Fort Bourbon. His

sterling character and remarkable ability secured him rapid advancement

in the service. In spite of the fact that the climate did not agree with

him, he remained for three years on the island, because he would not

employ the political influence that might have secured his recall, since

he thought it his duty to serve his country in an important colonial

post. Nearly all his comrades perished by fever. It is the irony of fate

that after his return to France a change in the ministry deprived him of

the just recompense of his devotion to country, and he did not receive

the special extraordinary promotion which he had earned in this special

detail.

During a short stay that he made at Paris after his return, he sought

the society of men of science as far as possible, and succeeded in

getting in touch with all that was most promising in scientific progress

at the time. He was already known rather favorably by many of the

scientific men of the capital because of the paper on The Statics of

Vaults, a monograph on static problems in architecture, which he

presented to the Academy of Sciences in 1779. His next military

assignment was to Rochefort. Here he composed his monograph on "The

Theory of Simple Machines," which carried off the double prize that had

been offered by the Academy of Sciences for the solution of problems

connected with this important question. This attracted the attention not

only of the scientific world, but also of his military superiors. As a

result, he was sent successively to Cherburg and to the Isle of Aix, to

direct engineering works, and accomplished the tasks involved with

success.

Two years later, when he was about forty-five years of age, he was

elected member of the Academy of Sciences by a unanimous vote. He was a

man of great personal magnetism, and all those who came in contact with

him learned to like him for his straightforward character and for the

absolute righteousness of his life. Few men have made firmer friends

than Coulomb, as few have ever shown more unselfish devotion to duty and

to conscience than he, though under circumstances that were neither

spectacular nor theatrical. It was harder to face the deadly climate of

Martinique than it would have been to take one's place at the head of a

forlorn hope in an outburst of enthusiastic courage; and Coulomb was to

have other trials of quite as deterrent a nature, and was to meet them

with the same imperturbed sense of duty.

Graft is sometimes supposed to be temptation peculiar only to our own

times, but the opportunities for it have always been present in such

work as Coulomb had to oversee, and the army engineer of all ages has

had to stand or fall before it. It was proposed, about this time, to

build a system of government canals in Brittany. Such a canal-system

would, as is easy to understand, cost an enormous sum of money and give

magnificent opportunities for speculation of various kinds. No small

objection had been made to the project, on the score that it would not

confer all the benefits on the region that were claimed for it, and

Coulomb was commissioned by the Minister of Marine to determine the

question of the advisability of constructing the canals, and of the

probable effect which they would have on the commerce of the country.

After careful investigation, he came to the conclusion that the

advantages which were expected to accrue from the project would not

compensate for the enormous expense that would be entailed. This

decision aroused the angry protest of a strong political faction, who

expected to reap wealth and personal advantages of many kinds from the

scheme, and who protested bitterly against Coulomb's report. He was able

to support his conclusions in the matter, however, with such

unanswerable mathematical and engineering arguments, that his opinion

prevailed and the project was given up.

As a consequence, instead of the opportunity to serve a political party

with every avenue to preferment and, above all, to wealth open for him,

he found himself, for the time being, deprived even of the opportunity

to devote himself further to his favorite occupations in military

engineering. The excuse given for this interruption in his career, for

there has always been an excuse for such action, was that proper

representations for permission to make the report had not been made to

the Minister of Marine; and instead of commendation, Coulomb received

what was practically a reprimand.

Wounded by this injustice, which was manifestly due to the fact that his

honest report had displeased those who expected to reap personal benefit

from the canal project, and disgusted with a service in which such

things were possible, Coulomb sent in his resignation. The Minister of

Marine realized that the acceptance of the proffered resignation would

surely expose the ministry at least to suspicion as to the reasons why

Coulomb's report was not accepted with good grace. Permission to retire

from the service was refused, as this would insure his silence. He was

ordered back to Brittany to continue his work there, possibly with the

idea that this unfavorable experience would be sufficient of itself to

make him understand what was expected of him and render him a little

more complacent to the wishes of those in authority. If any such ideas

were entertained, they were destined to grievous disappointment. Coulomb

was not of those who, seeing duty plainly, refuse to follow it because

some personal advantage or disadvantage intervenes. Selfish reasons did

not appeal to his character nor obscure the issues.

He went back to Brittany, ready to express his firm opinion in the

matter and with integrity of soul untouched. The consequence was that

the provincial authorities, recognizing their true interests,

acknowledged the error they had come near falling into, and now wished

to reward the engineer handsomely for his unswerving devotion to duty.

Coulomb as promptly refused a reward for doing his duty as he had

ignored even the appearance of a bribe to avoid it. Only after

considerable pressure was he prevailed upon to accept the best timepiece

they could procure, on which the arms of the province were engraved. It

had what was quite rare in those days, a second's hand, and he

constantly made use of this in all his experimental work thereafter. A

French biographer says that, never was a souvenir better chosen nor more

suitably employed. Coulomb's merits were recognized by the government

authorities not long after, and he was made superintendent of the

fountains of France. A few years later, he was promoted to the position

of Curator of Plans and Relief Maps of the Military Staff of France,

and was chosen as one of the commission of the French Academy of

Sciences who went to England in order to study hospital conditions

there. At this time, he was at the acme of his career. His grade was

that of Lieutenant Colonel of Engineers, a position much higher in the

foreign armies at that time than would be the post with the

corresponding title in our army. He had been made a Chevalier of St.

Louis, and it looked as though a brilliant future were opening out

before him. Each year, for a decade, had seen the publication of one or

more memoirs on important subjects, nearly every one of which contained

some original material of the highest value, destined not only to add to

Coulomb's reputation, but to furnish basic information for the further

development of science.

In 1789, however, the Revolution broke out, and there was an end to all

Coulomb's opportunities for work. He was utterly out of sympathy with

the movement, the worst consequences of which he foresaw from the

beginning, and he at once handed in his resignation of the various

positions that he occupied under the government. He went into almost

absolute retirement, devoting himself to the education of his children.

During this time, however, he did not cease to cultivate science,

inasmuch as he gave the finishing touch to various papers which he had

previously outlined. Unfortunately, however, his departure from Paris

made it impossible for him to continue his investigations in electricity

for want of apparatus, and so there is a ten years' interruption in his

life of scientific activity and of original work. Besides, it cannot be

surprising that he should not have had the heart to go on with his work

under the awful social conditions that prevailed. Many of his friends

lost their lives during the stormy period of the Revolution; most of

the others were banished or were in hiding. His beloved country had gone

into an unfortunate eclipse, as he could not help but consider it; most

of the nations of the earth were indeed in league against her, and the

end was not yet in sight. It would be too much to expect of human nature

that it should devote itself to abstruse problems in science at moments

of such disturbance as this, and so some of the possibilities of

Coulomb's original genius were lost to science during that calamitous

period.

Like many of the great discoveries of science, Coulomb's most important

work was done in the course of other investigations, and came by what

might be called a happy accident. He had been investigating the

qualities of wire of various kinds, especially with regard to their

elasticity, so as to be able to determine the limits of their use in

various engineering projects. When he discovered that the elasticity of

torsion of a wire was a constant property, he proceeded to utilize it in

the calculation of such delicate phenomena as those of electric and

magnetic forces. The first instrument for this purpose that he

constructed consisted simply of a long magnetized needle suspended

horizontally by a fine wire. Supposing this needle to be at rest, if one

moves it away from the magnetic meridian by a certain number of degrees,

the twisted wire will have a definite tendency to untwist and to bring

back the needle to its original position by a series of oscillations

whose frequency can be readily observed.

For such observations, it is possible to obtain the value of the force

acting on the needle and causing it to move to and fro at a given rate.

This was the underlying idea which received very simple expression in

the ingenious instrument which Coulomb devised and called a

torsion-balance. With it, he set about determining the law which governs

the mutual action of magnets and of electrified bodies with regard to

distance, and found it to be the same as that which Newton found to hold

for bodies distributed throughout the universe, that is, that attraction

and repulsion vary inversely as the square of the distance. He also

proved, with the aid of his torsion-balance, that the forces of

attraction and repulsion vary as the product of the strength of the

poles in one case and as the product of the electric charges in the

other. These were the important discoveries of Coulomb's life; they

served to earn for him the right to have his name given to the unit of

electrical quantity, the _coulomb_.

Coulomb did not stop here, however, but proceeded to apply his laws to

various other phenomena. He proved that electricity distributes itself

entirely over the surface of a body without penetrating the mass of the

conductor, and he showed by calculation that this result was a necessary

consequence of the law of repulsion.

A list of the papers which he published on electricity and magnetism,

the titles of which, with French accuracy of expression, furnish an

excellent idea of their contents, shows the thoroughly progressive and

scientific spirit of the man, and how well he proceeded from the known

to the less known, always widening the bounds of knowledge. Suffice it

to say here that the observations of Coulomb were not only original, but

that they concerned some of the most difficult questions in

electricity, and that he was clearing the ground for others in such a

way as to make future work and quantitative measurements in electricity

reliable and comparatively easy. It is because of this pioneer work that

Coulomb deserves so much praise. It was not long before Coulomb's

observations were confirmed by others, and then the beginnings of the

modern development of electricity became manifest, owing not a little to

the researches and inventions, the genius and ingenuity of this French

military engineer.

Some phases of electrical development attributed to others really belong

to Coulomb. A typical example of this detraction from his merit is the

attribution to Biot of the solution of the problem of the complete

discharge of an electrified sphere by means of two hollow hemispheres.

This experiment is fully described by Coulomb, and he even emphasizes

the fact that the external discharging bodies need not necessarily be of

the same shape as the charged sphere. Some of what Coulomb accepted as

principles in electricity have proved in the course of time, not to be

the realities that he thought them; but the progress that has led to

such contradictions of his opinions has been mainly rendered possible by

his own discoveries. The fable of the eagle stricken by the arrow

containing some of its own feathers, is so old that one might think

that, when the progress of a science due to a scientist brings men

beyond the position he occupied, they would not blame him for

backwardness. This is, however, one of the curious critical methods in

the history of science that has most frequently to be deprecated by the

historian who is tracing origins and developments.

Coulomb's papers, with the exception of his memoir on "Problems in

Statics Applied to Architecture," his "Researches on the Methods of

executing Works under Water without the Necessity of Pumping," his

"Theory of Simple Machines," and his researches "On Windmills," which

form separate monographs, were all published together in a single volume

by the French Physical Society in 1884.[22]

This volume contains, besides his investigations on the best way of

making magnetic needles, his theoretic and experimental investigations

on the force of torsion and on the elasticity of metallic threads, which

were undertaken in order to enable him to make his electric

torsion-balance something more than mere guess-work. All the other

papers are concerned directly with electricity or magnetism, and show

how actively, nearly a hundred and twenty-five years ago, a great mind

was engaged with problems in electricity which we are apt to consider as

belonging more properly to our own time. The list of papers published in

these memoirs, arranged in chronological order, gives a good idea of the

development of electrical science in Coulomb's own mind. There is a

logical as well as a chronological order to be observed in them.

In 1785, when he was just approaching his fiftieth year, there were

three subjects with regard to which Coulomb's experimental observations

enabled him to set down some definite principles. The first of these was

the construction and use of an electric balance, founded on the

property which wires have of exhibiting a torque proportional to the

angle of torsion. The second was the determination of the laws,

according to which the magnetic and electric "fluids," as Coulomb and

investigators in electricity called them at that time, act both as

regards repulsion and attraction. The third was the determination of the

quantity of electricity which an insulated body loses in a given time

from contact with air more or less moist.

In 1786, he published a paper in which he demonstrated what he

considered the principal properties of the electric fluid. These are,

that this fluid does not spread itself on a substance by any chemical

affinity or any elective attraction, but that it distributes itself over

various bodies that are placed in contact, entirely in accordance with

their shape; and also that in electrical conductors, the charge is

limited to the surface of the conductor and does not penetrate to any

appreciable depth.

In 1787, his only paper was on the manner in which the electrical fluid

divides itself between two conducting bodies placed in contact, and on

the distribution of this fluid over the different parts of the surface

of these bodies. He continued his investigations into this subject in

1788, and also succeeded in determining the density of the electricity

at different points on the surface of conducting bodies.

In 1789, he began to work more particularly on magnetism. His first

paper on the subject was published that year. Unfortunately, as we have

said, the Revolution interrupted his scientific investigations at this

point, and for the next eleven years we have nothing from his pen. As a

nobleman, he was compelled to leave Paris, and this not only put him out

of touch with scientific work generally, but deprived him of the

opportunities of using such apparatus as was necessary to carry on his

experiments. That he acted prudently in leaving Paris, the careers of

other scientists amply prove. Lavoisier continued to carry on his

chemical investigations during the stormy times of the Revolution, but

his stay in the capital eventually cost him his life. Abbé Haüy, the

father of crystallography,[21] who, because of his contributions to the

science of pyro-electricity, is of special interest to us, continued to

work at his crystals throughout even the Reign of Terror. When thrown

into prison, he asked and obtained permission to have his crystals with

him. His friends saved him from Lavoisier's fate, but not without an

effort, as his life was seriously endangered.

It is easy to understand, however, that a member of the nobility like

Coulomb, whose life had been spent in military affairs, should not be

able to devote himself seriously to scientific matters while his country

was in such a turmoil.

In 1801, he resumed his investigations once more, but now they are

concerned more particularly with magnetism. The first was a theoretical

and practical determination of the forces which hold different magnetic

needles, magnetized to saturation, in the magnetic meridian. This was

followed, in the same year, by a paper which, like its predecessor, was

published among the memoirs of the Institute of France, which had

replaced the Royal Academy of Sciences, to which body many of Coulomb's

papers of the former time had been presented, and in whose publications

they originally appeared. This second paper detailed his experiments on

the determination of the force of cohesion of fluids and the law of

resistance in them, when the movements were very slow.

When the French Institute was organized under Napoleon in 1801, Coulomb

was named among its first members. It is believed that he was even

chosen to occupy a place in the first government of the state, but a man

more interested in politics obtained the place, a fortunate circumstance

for science. Coulomb was named, however, one of the inspectors of public

instruction, then the highest place in the education department, and he

did much to restore to France the educational system that had been

destroyed during the Revolution. In this rather trying work he was noted

for the kindliness yet firmness of his character, while his absolute

fairness and sense of justice were recognized on all sides.

Unfortunately Coulomb was not long spared to continue his work. He took

up his experimental and mathematical investigations, on his return to

the capital, with great enthusiasm, but his health had been undermined

and his work had been rudely interrupted. After 1801, no further paper

by him appears to have been published until 1806. This gave the result

of different methods employed in order to produce in blades and bars of

steel the greatest degree of magnetism. For some time preceding this, in

spite of increasing ill-health, he had continued his experiments on the

influence of temperature on the magnetism of steel. His work on this

subject was not destined to be completed, for not long after passing his

seventieth year, in June of this year, his health gave way completely,

and he died August 23d, 1806. His final observations were gathered by

Biot, carefully preserved, and assigned a place in the volume of

Coulomb's Memoirs, issued by the French Physical Society.

Personally, Coulomb was noted for great seriousness of character, though

with this was mingled a gentleness of disposition that made for him some

cordial friendships among his scientific contemporaries. He had but few

friends, but those who were admitted to his intimacy made up by the

depth of their affection for the smallness of their number. Even those

who had occasion to meet him but once or twice, carried away from their

meeting an affectionate remembrance of his kindliness and courtesy and

readiness to help wherever he could be of service. He was extremely

happy in his family relations, and this proved to be a great source of

consolation to him during the years when the progress of the French

Revolution took him away from science and made him almost despair of his

country.

It is not surprising that Biot, the great French physicist, in writing

of Coulomb in his Mélanges Scientifiques et Littéraires, Vol. III.

(Paris, 1858), should have held Coulomb up as a model of the simple,

earnest, helpful life and as a man of the most exemplary character. He

says: "Coulomb lived among the men of his time in patience and charity.

He was distinguished among them mainly by his separation from their

passions and their errors, and he always maintained himself calm, firm

and dignified _in se totus teres atque rotundus_, as Horace says, a

complete, perfect and well-rounded character." Few men have deserved so

noble a eulogy as this, written nearly fifty years after his death, by

one who had known Coulomb himself and his contemporaries well; it has

none of the exaggeration of a funeral panegyric, and is evidently

founded on details of knowledge with regard to the great electrician

which had become a tradition among French scientists, and which Biot

has forever crystallized into the history of science by his emphatic

expression.

One could scarcely wish for a better epitaph than Biot's summing up of

Coulomb's personal character: "All those who knew Coulomb know how the

gravity of his character was tempered by the sweetness of his

disposition, and those who had the happiness to meet him at their

entrance into a scientific career have kept the most tender remembrance

of his gentle good-heartedness."

[Illustration: HANS CHRISTIAN OERSTED]

FOOTNOTES:

[21] Collection de Memoires relatifs à La Physique Publiés Par

la Société Française de Physique. Tome I., Mémoires de Coulomb. Paris.

Gauthier-Villars, Imprimeur-Libraire Du Bureau des Longitudes, de

L'École Polytechnique, Quai des Augustins, 55, 1884.

[22] Catholic Churchmen in Science, the Dolphin Press,

Philadelphia, 1906.

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