CHAPTER 4

THEORIES OF ELECTRICITY

The science of electricity is based upon observation of those phenomena

of attraction and repulsion which are comprehended under the term

_electrostatics_. Statical electricity, so named from a Greek

word (statikos), which means “causing to stand (or stay),”—also called

_frictional electricity_—is the electricity of stationary charges

caused by rubbing together unlike bodies, such as glass and silk (noted

in Chapter II). In such cases equal and opposite charges of electricity

are always produced. The term _statical electricity_ applies

properly, however, to the electricity of all stationary charges,

however produced.

The electricity upon the surface of glass is called positive

electricity; that upon rubber, negative electricity. When silk is

rubbed upon glass it receives a negative charge from the glass and

confers a positive charge upon the silk. Wool or fur rubbed on wax or

rubber receives a positive charge in exchange for a negative charge;

“equal and opposite charges of electricity are always produced.” A

piece of glass and a piece of silk attract one another; two pieces of

silk or two pieces of glass or wax repel one another, because a body

which is positively charged is attracted by one negatively charged

and repelled by one negatively charged, and vice versa. A piece of

glass rubbed by a piece of silk, under suitable conditions, attracts

any other body with which it has not been in contact. The piece of

silk will do likewise. In all these cases, the attraction or repulsion

becomes weaker with increase of distance between the attracting and

repelling bodies.

A third body which has been in contact with a piece of glass or a piece

of silk acquires to some extent the properties of the glass or silk

with which the third body has been in contact. And, conversely, the

glass or silk with which the third body has been in contact attracts

or repels with less force than before. If a hand is drawn over the

surface of an object after it has been charged with electricity, the

electricity disappears. It has been conducted through the hand and

the body to the earth. This phenomenon shows that the human body is

a _conductor_ of electricity. But most metals are much better

conductors. Moist air and damp wood are rather poor conductors, while

dry air, dry wood, porcelain, glass, hard rubber and sealing-wax are

_non-conductors_, or _insulators_.

The term _dielectric_ is used in preference to _insulation_

when reference is made to the property of transmitting

_induction_—a process quite distinct from ordinary transmission

of an electric current. In _electrostatic induction_, a body

electrostatically charged induces in a neighboring conductor a like

charge in the parts farthest from the charged body, and an unlike

charge in the nearer parts; the repelled like charge being removed by

connecting any part of the conductor momentarily with the earth, while

the bound unlike charge spreads over the whole surface of the conductor

and remains there even when the inducing body is moved away, or its

charge neutralized, if the conductor is properly insulated.

_Dielectric strength_ refers to the ability of an insulating

material to resist rupture by high voltage, measured by the voltage

necessary to effect a disruptive discharge through it. _Insulation

resistance_, on the other hand, refers to the _ohmic_

resistance _offered_ by an insulating material to an impressed

voltage, tending to induce a breakage of current through it. The term

_dielectric_ is used as a synonym for _insulator_, in the

sense that a charge on one part of a non-conductor is not communicated

to any other part. A charge given to a conductor spreads to all parts

of the body. A dielectric possesses the property of transmitting

electric force by _in_duction but not by _con_duction. A

charge on one part of a non-conductor or dielectric is not communicated

to any other part.

Jeans suggests that since the presence of magnetic energy is always

associated with charges in motion, whereas electrostatic energy is

present when all the charges are at rest relatively to each other, it

may be proper to identify electrostatic energy with potential energy,

and magnetic energy with kinetic energy[14]—i. e., energy due to motion

of particles, rather than to energy of position, as of a coiled spring.

Statical energy is distinguished from “current electricity” by the

fact that it accumulates on various bodies—is stored up—and as soon

as proper connections are made, it discharges instantly. Statical

electricity is used by physicians in electrical treatment of diseases

and in X-ray work. Machines have been constructed that will produce

very strong charges of statical electricity.

If a sufficiently large charge of electricity accumulates upon an

insulated conductor in an electrical machine, it finally discharges

itself, passing through the air to the nearest body. A flash of

lightning is the result of an overcharge of statical electricity

accumulated upon cloud particles, and may pass from cloud to cloud

or descend to the earth.[15] Careful drivers of gasoline-tank wagons

allow an iron or steel chain to drag on the roadway from a metallic

connection, which conducts any surplus “static” to the ground. Failure

to provide for such an emergency sometimes results in a terrific

explosion with consequent loss of life.

About the beginning of the nineteenth century, the Italian scientist,

Alessandro Volta (1745-1827),—and other physicists—discovered what

has been called, after Volta, _voltaic electricity_, a current

generated by chemical action between metals and different liquids as

arranged in a voltaic battery. The term “volt”—the electromotive force

which performs work at the rate of one joule per second (one watt) in

producing a current of one ampere—was similarly derived.

It was learned that if two different metals, such as copper and

zinc amalgam, are placed in a weak acid solution (such as one part

H_{2}SO_{4} to four parts H_{2}O), and connected by a wire fastened

securely to the metals, a current of electricity (about two volts) will

pass through the wire. Carbon (a non-metal) and a metal upon which the

solution acts chemically may be used instead of two metals. There must

be chemical action between the liquid and one metal, or there will be

no current. Such a combination constitutes a _cell_, and two or

more cells make a _battery_. The current starts with the zinc,

is conducted by the solution to the copper, and thence by wire back

to the zinc, completing a _circuit_. The zinc constitutes the

negative pole (or electrode), the copper or carbon the positive pole

(or electrode).

A cell frequently employed, where a weak (about 1.1 volts) but constant

electromotive force (“E. M. F.”) is required, is one devised by the

English physicist, John D. Daniell (1790-1845). In this cell a copper

sulphate solution containing a copper electrode is placed in contact

(by means of a porous wall or partition—usually an unglazed porcelain

cup) with a zinc sulphate solution containing a zinc electrode. The

zinc electrode is negative to the copper. At each electrode there

exists a potential difference between solution and electrode.[16] The

two electrodes being connected externally by a wire, a current of

electricity will flow through the wire from the copper to the zinc, and

zinc will dissolve at the anode (positive pole) and copper deposited

on the cathode (negative pole). The current in this case, as in the

preceding, is said to be produced by _voltaic action_ and the

cell is a primary battery. Voltaic action and _electrolysis_—the

process of chemical decomposition (or dissociation of compounds or

molecules)—by the action of an electric current produced externally (as

by a dynamo) and forced through the cell, are essentially identical

phenomena, and obey the same laws.[17]

The familiar _dry cell_ contains no liquid which might be spilled,

and is very useful for certain purposes, as in automobiles, and in

operating door-bells. It is merely a voltaic cell whose chemical

contents are made practically solid (or paste-like) by the use of some

absorbent, as gelatine, sawdust, etc. In cells of the Leclanché type,

a mixture of plaster of Paris, flour, and sal ammoniac takes the place

of the solution which acts chemically upon one of the contained metals.

When used up, a dry cell must be replaced by an entirely new cell. Two

or more dry cells constitute a _dry battery_.

We have seen that there are two types of charged bodies, of which

charged glass and charged silk are familiar examples. It was Dufay

(1699-1739) who discovered that there were two kinds of electricity,

one of which he called _vitreous_ (from glass) and the other

_resinous_ (from resin—amber). The terms “positive” and “negative”

in relation to electricity were first applied by Benjamin Franklin,

in 1756. To the electricity of the glass rod Franklin gave the name

“positive” and to that of the sealing-wax (or hard rubber, amber, etc.)

the name “negative.” These names are now universally in use—though

French physicists still speak of vitreous and resinous electricity.

I have spoken also of a positive pole (or electrode) and a negative

pole (or electrode). The electrodes constituting the two poles of a

current are also called the anode and the cathode, the former being the

positive electrode and the latter the negative electrode.[18]

When it was learned that electrical charges could be distinguished by

two opposing terms—positive and negative—it was natural to suppose that

there were two distinct kinds of electricity, or “fluids.” This was

the view taken by the French chemist Dufay. But the German electrician

Æpinus (1724-1802), in his great pioneer work, “_Tentamen Theoriae

Electriciatis et Magnetismi_” (An Attempt at a Theory of Electricity

and Magnetism—1759), considered the mathematical consequences of the

hypothesis of a single fluid, attracting all matter but repelling

itself. It soon became apparent, however, that he must assume either

the existence of two electrical fluids or the mutual repulsion of

material particles. He chose the latter theory. He explained the

phenomena of the opposite poles as results of the excess and deficiency

of a “magnetic fluid,” which was dislodged and accumulated in the

ends of the body, by the repulsion of its own particles, and by the

attraction of iron and steel, as in the case of induced electricity.[19]

Æpinus, who was unquestionably one of the greatest physicists of the

eighteenth century, devised a method of examining the nature of the

electricity at any part of the surface of a body, by which means he was

enabled to ascertain its distribution. He found that the distribution

was in agreement with the attractions and repulsions which objects

exert when they are in the neighborhood—“electrical atmosphere”—of

electrified bodies. Today we say that such bodies are electrified by

induction.

The Æpinian theory of electricity and of magnetism was modified and

presented in a new form (in 1788) by Coulomb, with two fluids instead

of one. His first task, before reducing the theory to calculation,

was to determine the law of the forces involved—not being satisfied,

for example, with Newton’s assumption that the attractive force of

magnetism is inversely to the _cube_ of the distance. Mayer in

1760, and Lambert a few years later, had found the law to be that of

the inverse square. Coulomb desired experimental confirmation of this

law before accepting it as established. This he secured by means of

his torsion-balance (about 1784).[20]

It was in pursuance of this investigation that Coulomb brought to light

for the first time the fact that the directive magnetic forces which

the earth exerts upon a needle is a constant quantity, parallel to the

magnetic meridian, and passing through the same point of the needle

whatever be its position.

Barlow, who had adopted the two-fluid hypothesis, showed that the

magnetic “fluids” were collected at the surface of spheres (of iron),

the surface being the only part in which there could be detected any

magnetism. He demonstrated that a shell of iron produces the same

effect as a solid ball of the same diameter. Poisson’s later analysis

(1824) showed that this was a consequent to be expected. Merz has well

said that what Laplace did for Newton was done by Poisson (1781-1840)

“for Coulomb’s elementary law of electric and magnetic action, and

on a still larger scale by Gauss, who worked out the mathematical

theory and applied it to the case of the magnetic distribution on the

earth’s surface. In England, already before Coulomb’s researches were

published, Cavendish had, likewise by a combination of experiment and

calculation, established the elementary formulae and properties of

electrical phenomena.”[21]

Benjamin Franklin, the first American to gain international renown as a

scientist, adopted and developed a “one-fluid theory of electricity.”

On this supposition the parts of the fluid repel each other, and

the excess in one surface of the glass—for example—repels the fluid

from the other surface. The fluid itself was regarded by Franklin as

positive, the part of the other (negative electricity) being taken by

ordinary matter, the particles of which were supposed to repel each

other and attract the positive fluid, just as the particles of the

negative fluid did on the two-fluid theory.

On both the two-fluid and the one-fluid theories, as we have seen, the

particles of the positive fluid repelled each other by forces varying

inversely as the square of the distance between them—as shown by both

Æpinus and Coulomb. This is true also of the particles of the negative

fluid. The particles of the positive fluid attracted those of the

negative fluid. In Franklin’s one-fluid theory it was the ordinary

particles of matter which attracted the positive fluid and repelled

one another. Both theories from their very nature imply, as Sir J. J.

Thomson long ago (1906) pointed out, the idea of action at a distance.

In his very interesting book, “Matter and Energy” (1912), Professor

Soddy says: “All electrical phenomena can be explained as well on the

one-fluid as on the two-fluid idea, but our ignorance at the present

time as to whether there are two kinds of electricity or one is

fundamental. Until the question is settled, the hopes that have been

entertained that, through the study of electricity, we shall be able to

arrive at a philosophical explanation of matter, are likely to prove

unfounded.”

Our modern view of electrification bears a close resemblance to the

one-fluid theory of Franklin, whether we suppose there is one kind of

electricity, or two kinds. At all events, if there be such a separate

force, or such units of energy, as “positive” electricity, it has never

been isolated, as have been the negative atoms or electrons. Negative

electrification is but a collection of these negative corpuscles

or unit charges. The particles of the “electric fluid” of Franklin

correspond to these electrons.

“Instead of taking, as Franklin did, the electric fluid to be positive

electricity, we take it to be negative,” says J. J. Thomson, in

his “Corpuscular Theory of Matter” (1906). And “the transference

of electrification from one place to another is effected by this

motion of corpuscles from the place where there is a gain of positive

electrification to the place where there is a gain of negative.

A positively electrified body is one that has lost some of its

corpuscles.”[22]

FOOTNOTES:

[14] Jeans, J. H., “Electricity and Magnetism,” Page 483, 1911.

[15] Benjamin Franklin was first to show (in a letter to Peter

Collinson, written October 19, 1752) that lightning and electricity are

one and the same thing. He was also inventor of the lightning-rod.

[16] “Potential” is analogous to level (or pressure) in hydrostatics or

mechanics.

[17] For further explanation, see Shipley, Maynard, “The A. B. C. of

the Electronic Theory of Matter,” Little Blue Book Series, No. 603.

[18] See, in this connection, Shipley, _Op. cit._

[19] A very similar hypothesis was read before the Royal Society by

Henry Cavendish, in 1771, the work of Æpinus being unknown to him at

the time.

[20] By means of this instrument very minute forces can be accurately

measured, such as electrostatic or magnetic attraction and repulsion,

by the torsion (turning or twisting) of a wire or filament, the angle

of torsion being proportional to the amount of force exerted.

[21] Merz, Henry, “History of European Thought in the Nineteenth

Century,” Vol. I, Page 362.

[22] For a recent work on modern electrical theory, see Starling,

Sydney G., (head of the department of physics in the West Ham Municipal

College, London), “Electricity,” London, 1922. For the pioneer work of

Ampère, see his “_Theorie des Phenomenes Electrodynamiques_,” 1826.

Principles of electricity · 第 4 / 7 章