1238. As the return action was evidently greatest instantly after the

discharge, I again put the apparatus together, and charged it for fifteen

minutes as before, the inner ball positively. I then discharged it,

instantly removing the upper hemisphere with the interior ball, and,

leaving the shell-lac cup in the lower uninsulated hemisphere, examined its

inner surface by the carrier ball as before (1237.). In this way I found

the surface of the shell-lac actually _negative_, or in the reverse state

to the ball which had been in it; this state quickly disappeared, and was

succeeded by a positive condition, gradually increasing in intensity for

some time, in the same manner as before. The first negative condition of

the surface opposite the positive charging ball is a natural consequence of

the state of things, the charging ball being in contact with the shell-lac

only in a few points. It does not interfere with the general result and

peculiar state now under consideration, except that it assists in

illustrating in a very marked manner the ultimate assumption by the

surfaces of the shell-lac of an electrified condition, similar to that of

the metallic surfaces opposed to or against them.

1239. _Glass_ was then examined with respect to its power of assuming this

peculiar state. I had a thick flint-glass hemispherical cup formed, which

would fit easily into the space _o_ of the lower hemisphere (1188. 1189.);

it had been heated and varnished with a solution of shell-lac in alcohol,

for the purpose of destroying the conducting power of the vitreous surface

(1254.). Being then well-warmed and experimented with, I found it could

also assume the _same state_, but not apparently to the same degree, the

return action amounting in different cases to quantities from 6° to 18°.

1240. _Spermaceti_ experimented with in the same manner gave striking

results. When the original charge had been sustained for fifteen or twenty

minutes at about 500°, the return charge was equal to 95° or 100°, and was

about fourteen minutes arriving at the maximum effect. A charge continued

for not more than two or three seconds was here succeeded by a return

charge of 50° or 60°. The observations formerly made (1234.) held good with

this substance. Spermaceti, though it will insulate a low charge for some

time, is a better conductor than shell-lac, glass, and sulphur; and this

conducting power is connected with the readiness with which it exhibits the

particular effect under consideration.

1241. _Sulphur._--I was anxious to obtain the amount of effect with this

substance, first, because it is an excellent insulator, and in that respect

would illustrate the relation of the effect to the degree of conducting

power possessed by the dielectric (1247.); and in the next place, that I

might obtain that body giving the smallest degree of the effect now under

consideration for the investigation of the question of specific inductive

capacity (1277.).

1242. With a good hemispherical cup of sulphur cast solid and sound, I

obtained the return charge, but only to an amount of 17° or 18°. Thus glass

and sulphur, which are bodily very bad conductors of electricity, and

indeed almost perfect insulators, gave very little of this return charge.

1243. I tried the same experiment having _air_ only in the inductive

apparatus. After a continued high charge for some time I could obtain a

little effect of return action, but it was ultimately traced to the

shell-lac of the stem.

1244. I sought to produce something like this state with one electric power

and without induction; for upon the theory of an electric fluid or fluids,

that did not seem impossible, and then I should have obtained an absolute

charge (1169. 1177.), or something equivalent to it. In this I could not

succeed. I excited the outside of a cylinder of shell-lac very highly for

some time, and then quickly discharging it (1203.), waited and watched

whether any return charge would appear, but such was not the case. This is

another fact in favour of the inseparability of the two electric forces

(1177.), and another argument for the view that induction and its

concomitant phenomena depend upon a polarity of the particles of matter.

1245. Although inclined at first to refer these effects to a peculiar

masked condition of a certain portion of the forces, I think I have since

correctly traced them to known principles of electrical action. The effects

appear to be due to an actual penetration of the charge to some distance

within the electric, at each of its two surfaces, by what we call

_conduction_; so that, to use the ordinary phrase, the electric forces

sustaining the induction are not upon the metallic surfaces only, but upon

and within the dielectric also, extending to a greater or smaller depth

from the metal linings. Let _c_ (fig. 113.) be the section of a plate of

any dielectric, _a_ and _b_ being the metallic coatings; let _b_ be

uninsulated, and _a_ be charged positively; after ten or fifteen minutes,

if _a_ and _b_ be discharged, insulated, and immediately examined, no

electricity will appear in them; but in a short time, upon a second

examination, they will appear charged in the same way, though not to the

same degree, as they were at first. Now suppose that a portion of the

positive force has, under the coercing influence of all the forces

concerned, penetrated the dielectric and taken up its place at the line

_p_, a corresponding portion of the negative force having also assumed its

position at the line _n_; that in fact the electric at these two parts has

become charged positive and negative; then it is clear that the induction

of these two forces will be much greater one towards the other, and less in

an external direction, now that they are at the small distance _np_ from

each other, than when they were at the larger interval _ab_. Then let _a_

and _b_ be discharged; the discharge destroys or neutralizes all external

induction, and the coatings are therefore found by the carrier ball

unelectrified; but it also removes almost the whole of the forces by which

the electric charge was driven into the dielectric, and though probably a

part of that charge goes forward in its passage and terminates in what we

call discharge, the greater portion returns on its course to the surfaces

of _c_, and consequently to the conductors _a_ and _b_, and constitutes the

recharge observed.

1246. The following is the experiment on which I rest for the truth of this

view. Two plates of spermaceti, _d_ and, _f_ (fig. 114.), were put together

to form the dielectric, _a_ and _b_ being the metallic coatings of this

compound plate, as before. The system was charged, then discharged,

insulated, examined, and found to give no indications of electricity to the

carrier ball. The plates _d_ and _f_were then separated from each other,

and instantly _a_ with _d_ was found in a positive state, and _b_ with _f_

in a negative state, nearly all the electricity being in the linings _a_

and _b_. Hence it is clear that, of the forces sought for, the positive was

in one-half of the compound plate and the negative in the other half; for

when removed bodily with the plates from each other's inductive influence,

they appeared in separate places, and resumed of necessity their power of

acting by induction on the electricity of surrounding bodies. Had the

effect depended upon a peculiar relation of the contiguous particles of

matter only, then each half-plate, _d_ and _f_, should have shown positive

force on one surface and negative on the other.

1247. Thus it would appear that the best solid insulators, such as

shell-lac, glass, and sulphur, have conductive properties to such an

extent, that electricity can penetrate them bodily, though always subject

to the overruling condition of induction (1178.). As to the depth to which

the forces penetrate in this form of charge of the particles,

theoretically, it should be throughout the mass, for what the charge of the

metal does for the portion of dielectric next to it, should be close by the

charged dielectric for the portion next beyond it again; but probably in

the best insulators the sensible charge is to a very small depth only in

the dielectric, for otherwise more would disappear in the first instance

whilst the original charge is sustained, less time would be required for

the assumption of the particular state, and more electricity would

re-appear as return charge.

1248. The condition of _time_ required for this penetration of the charge

is important, both as respects the general relation of the cases to

conduction, and also the removal of an objection that might otherwise

properly be raised to certain results respecting specific inductive

capacities, hereafter to be given (1269. 1277.)

1249. It is the assumption for a time of this charged state of the glass

between the coatings in the Leyden jar, which gives origin to a well-known

phenomenon, usually referred to the diffusion of electricity over the

uncoated portion of the glass, namely, the _residual charge_. The extent of

charge which can spontaneously be recovered by a large battery, after

perfect uninsulation of both surfaces, is very considerable, and by far the

largest portion of this is due to the return of electricity in the manner

described. A plate of shell-lac six inches square, and half an inch thick,

or a similar plate of spermaceti an inch thick, being coated on the sides

with tinfoil as a Leyden arrangement, will show this effect exceedingly

well.

* * * * *

1250. The peculiar condition of dielectrics which has now been described,

is evidently capable of producing an effect interfering with the results

and conclusions drawn from the use of the two inductive apparatus, when

shell-lac, glass, &c. is used in one or both of them (1192. 1207.), for

upon dividing the charge in such cases according to the method described

(1198. 1207.), it is evident that the apparatus just receiving its half

charge must fall faster in its tension than the other. For suppose app. i.

first charged, and app. ii. used to divide with it; though both may

actually lose alike, yet app. i., which has been diminished one-half, will

be sustained by a certain degree of return action or charge (1234.), whilst

app. ii. will sink the more rapidly from the coming on of the particular

state. I have endeavoured to avoid this interference by performing the

whole process of comparison as quickly as possible, and taking the force of

app. ii. immediately after the division, before any sensible diminution of

the tension arising from the assumption of the peculiar state could be

produced; and I have assumed that as about three minutes pass between the

first charge of app. i. and the division, and three minutes between the

division and discharge, when the force of the non-transferable electricity

is measured, the contrary tendencies for those periods would keep that

apparatus in a moderately steady and uniform condition for the latter

portion of time.

1251. The particular action described occurs in the shell-lac of the stems,

as well as in the _dielectric_ used within the apparatus. It therefore

constitutes a cause by which the outside of the stems may in some

operations become charged with electricity, independent of the action of

dust or carrying particles (1203.).

¶ v. _On specific induction, or specific inductive capacity._

1252. I now proceed to examine the great question of specific inductive

capacity, i.e. whether different dielectric bodies actually do possess any

influence over the degree of induction which takes place through them. If

any such difference should exist, it appeared to me not only of high

importance in the further comprehension of the laws and results of

induction, but an additional and very powerful argument for the theory I

have ventured to put forth, that the whole depends upon a molecular action,

in contradistinction to one at sensible distances.

The question may be stated thus: suppose A an electrified plate of metal

suspended in the air, and B and C two exactly similar plates, placed

parallel to and on each side of A at equal distances and uninsulated; A

will then induce equally towards B and C. If in this position of the plates

some other dielectric than air, as shell-lac, be introduced between A and

C, will the induction between them remain the same? Will the relation of C

and B to A be unaltered, notwithstanding the difference of the dielectrics

interposed between them?[A]

[A] Refer for the practical illustration of this statement to the

supplementary note commencing 1307, &c.--_Dec. 1838._

1253. As far as I recollect, it is assumed that no change will occur under

such variation of circumstances, and that the relations of B find C to A

depend entirely upon their distance. I only remember one experimental

illustration of the question, and that is by Coulomb[A], in which he shows

that a wire surrounded by shell-lac took exactly the same quantity of

electricity from a charged body as the same wire in air. The experiment

offered to me no proof of the truth of the supposition: for it is not the

mere films of dielectric substances surrounding the charged body which have

to be examined and compared, but the _whole mass_ between that body and the

surrounding conductors at which the induction terminates. Charge depends

upon induction (1171. 1178.); and if induction is related to the particles

of the surrounding dielectric, then it is related to _all_ the particles of

that dielectric inclosed by the surrounding conductors, and not merely to

the few situated next to the charged body. Whether the difference I sought

for existed or not, I soon found reason to doubt the conclusion that might

be drawn from Coulomb's result; and therefore had the apparatus made,

which, with its use, has been already described (1187, &c.), and which

appears to me well-suited for the investigation of the question.

[A] Mémoires de l'Académie, 1787, pp. 452, 453.

1254. Glass, and many bodies which might at first be considered as very fit

to test the principle, proved exceedingly unfit for that purpose. Glass,

principally in consequence of the alkali it contains, however well-warmed

and dried it may be, has a certain degree of conducting power upon its

surface, dependent upon the moisture of the atmosphere, which renders it

unfit for a test experiment. Resin, wax, naphtha, oil of turpentine, and

many other substances were in turn rejected, because of a slight degree of

conducting power possessed by them; and ultimately shell-lac and sulphur

were chosen, after many experiments, as the dielectrics best fitted for the

investigation. No difficulty can arise in perceiving how the possession of

a feeble degree of conducting power tends to make a body produce effects,

which would seem to indicate that it had a greater capability of allowing

induction through it than another body perfect in its insulation. This

source of error has been that which I have found most difficult to obviate

in the proving experiments.

* * * * *

1255. _Induction through shell-lac._--As a preparatory experiment, I first

ascertained generally that when a part of the surface of a thick plate of

shell-lac was excited or charged, there was no sensible difference in the

character of the induction sustained by that charged part, whether exerted

through the air in the one direction, or through the shell-lac of the plate

in the other; provided the second surface of the plate had not, by contact

with conductors, the action of dust, or any other means, become charged

(1203.). Its solid condition enabled it to retain the excited particles in

a permanent position, but that appeared to be all; for these particles

acted just as freely through the shell-lac on one side as through the air

on the other. The same general experiment was made by attaching a disc of

tinfoil to one side of the shell-lac plate, and electrifying it, and the

results were the same. Scarcely any other solid substance than shell-lac

and sulphur, and no liquid substance that I have tried, will bear this

examination. Glass in its ordinary state utterly fails; yet it was

essentially necessary to obtain this prior degree of perfection in the

dielectric used, before any further progress could be made in the principal

investigation.

1256. _Shell-lac and air_ were compared in the first place. For this

purpose a thick hemispherical cup of shell-lac was introduced into the

lower hemisphere of one of the inductive apparatus (1187, &c.), so as

nearly to fill the lower half of the space _o, o_ (fig. 104.) between it

and the inner ball; and then charges were divided in the manner already

described (1198. 1207.), each apparatus being used in turn to receive the

first charge before its division by the other. As the apparatus were known

to have equal inductive power when air was in both (1209. 1211.), any

differences resulting from the introduction of the shell-lac would show a

peculiar action in it, and if unequivocally referable to a specific

inductive influence, would establish the point sought to be sustained. I

have already referred to the precautions necessary in making the

experiments (1199, &c.); and with respect to the error which might be

introduced by the assumption of the peculiar state, it was guarded against,

as far as possible, in the first place, by operating quickly (1248); and,

afterwards, by using that dielectric as glass or sulphur, which assumed the

peculiar state most slowly, and in the least degree (1239. 1241.).

1257. The shell-lac hemisphere was put into app. i., and app. ii. left

filled with air. The results of an experiment in which the charge through

air was divided and reduced by the shell-lac app. were as follows:

App. i. Lac. App. ii. Air.

Balls 255°.

0° . . . .

. . . . 304°

. . . . 297

Charge divided.

113 . . . .

. . . . 121

0 . . . . after being discharged.

. . . . 7 after being discharged.

1258. Here 297°, minus 7°, or 290°, may be taken as the divisible charge of

app. ii. (the 7° being fixed stem action (1203. 1232.)), of which 145° is

the half. The lac app. i. gave 113° as the power or tension it had acquired

after division; and the air app. ii. gave 121°, minus 7°, or 114°, as the

force it possessed from what it retained of the divisible charge of 290°.

These two numbers should evidently be alike, and they are very nearly so,

indeed far within the errors of experiment and observation, but these

numbers differ very much from 145°, or the force which the half charge

would have had if app. i. had contained air instead of shell-lac; and it

appears that whilst in the division the induction through the air has lost

176° of force, that through the lac has only gained 113°.

1259. If this difference be assumed as depending entirely on the greater

facility possessed by shell-lac of allowing or causing inductive action

through its substance than that possessed by air, then this capacity for

electric induction would be inversely as the respective loss and gain

indicated above; and assuming the capacity of the air apparatus as 1, that

of the shell-lac apparatus would be 176/113 or 1.55.

1260. This extraordinary difference was so unexpected in its amount, as to

excite the greatest suspicion of the general accuracy of the experiment,

though the perfect discharge of app. i. after the division, showed that the

113° had been taken and given up readily. It was evident that, if it really

existed, it ought to produce corresponding effects in the reverse order;

and that when induction through shell-lac was converted into induction

through air, the force or tension of the whole ought to be _increased_. The

app. i. was therefore charged in the first place, and its force divided

with app. ii. The following were the results:

App. i. Lac. App. ii. Air.

. . . . 0°

215° . . . .

204 . . . .

Charge divided.

. . . . 118

118 . . . .

. . . . 0 after being discharged.

0 . . . . after being discharged.

1261. Here 204° must be the utmost of the divisible charge. The app. i. and

app. ii. present 118° as their respective forces; both now much _above_ the

half of the first force, or 102°, whereas in the former case they were

below it. The lac app. i. has lost only 86°, yet it has given to the air

app. ii. 118°, so that the lac still appears much to surpass the air, the

capacity of the lac app. i. to the air app. ii. being as 1.37 to 1.

1262. The difference of 1.55 and 1.37 as the expression of the capacity for

the induction of shell-lac seems considerable, but is in reality very

admissible under the circumstances, for both are in error in _contrary

directions_. Thus in the last experiment the charge fell from 215° to 204°

by the joint effects of dissipation and absorption (1192. 1250.), during

the time which elapsed in the electrometer operations, between the

applications of the carrier ball required to give those two results. Nearly

an equal time must have elapsed between the application of the carrier

which gave the 204° result, and the division of the charge between the two

apparatus; and as the fall in force progressively decreases in amount

(1192.), if in this case it be taken at 6° only, it will reduce the whole

transferable charge at the time of division to 198° instead of 204°; this

diminishes the loss of the shell-lac charge to 80° instead of 86°; and then

the expression of specific capacity for it is increased, and, instead of

1.37, is 1.47 times that of air.

1263. Applying the same correction to the former experiment in which air

was _first_ charged, the result is of the _contrary_ kind. No shell-lac

hemisphere was then in the apparatus, and therefore the loss would be

principally from dissipation, and not from absorption: hence it would be

nearer to the degree of loss shown by the numbers 304° and 297°, and being

assumed as 6° would reduce the divisible charge to 284°. In that case the

air would have lost 170°, and communicated only 113° to the shell-lac; and

the relative specific capacity of the latter would appear to be 1.50, which

is very little indeed removed from 1.47, the expression given by the second

experiment when corrected in the same way.

1264. The shell-lac was then removed from app. i. and put into app. ii. and

the experiments of division again made. I give the results, because I think

the importance of the point justifies and even requires them.

App. i. Air. App. ii. Lac.

Balls 200°.

. . . . 0°.

286° . . . .

283 . . . .

Charge divided.

. . . . 110

109 . . . .

. . . . 0.25 after discharge.

Trace . . . . after discharge.

Here app. i. retained 109°, having lost 174° in communicating 110° to app.

ii.; and the capacity of the air app. is to the lac app., therefore, as 1

to 1.58. If the divided charge be corrected for an assumed loss of only 3°,

being the amount of previous loss in the same time, it will make the

capacity of the shell-lac app. 1.55 only.

1265. Then app. ii. was charged, and the charge divided thus:

App. i. Air. App. ii. Lac,

0° . . . .

. . . . 250°

. . . . 251

Charge divided.

146 . . . .

. . . . 149

a little . . . . after discharge.

. . . . a little after discharge.

Here app. i. acquired a charge of 146°, while app. ii. lost only 102° in

communicating that amount of force; the capacities being, therefore, to

each other as 1 to 1.43. If the whole transferable charge be corrected for

a loss of 4° previous to division, it gives the expression of l.49 for the

capacity of the shell-lac apparatus.

1266. These four expressions of 1.47, 1.50, 1.55, and 1.49 for the power of

the shell-lac apparatus, through the different variations of the

experiment, are very near to each other; the average is close upon 1.5,

which may hereafter be used as the expression of the result. It is a very

important result; and, showing for this particular piece of shell-lac a

decided superiority over air in allowing or causing the act of induction,

it proved the growing necessity of a more close and rigid examination of

the whole question.

1267. The shell-lac was of the best quality, and had been carefully

selected and cleaned; but as the action of any conducting particles in it

would tend, virtually, to diminish the quantity or thickness of the

dielectric used, and produce effects as if the two inducing surfaces of the

conductors in that apparatus were nearer together than in the one with air

only, I prepared another shell-lac hemisphere, of which the material had

been dissolved in strong spirit of wine, the solution filtered, and then

carefully evaporated. This is not an easy operation, for it is difficult to

drive off the last portions of alcohol without injuring the lac by the heat

applied; and unless they be dissipated, the substance left conducts too

well to be used in these experiments. I prepared two hemispheres this way,

one of them unexceptionable; and with it I repeated the former experiments

with all precautions. The results were exactly of the same kind; the

following expressions for the capacity of the shell-lac apparatus, whether

it were app. i. or ii., being given directly by the experiments, 1.46,

1.50, 1.52, 1.51; the average of these and several others being very nearly

1.5.

1268. As a final check upon the general conclusion, I then actually brought

the surfaces of the air apparatus, corresponding to the place of the

shell-lac in its apparatus, nearer together, by putting a metallic lining

into the lower hemisphere of the one not containing the lac (1213.). The

distance of the metal surface from the carrier ball was in this way

diminished from 0.62 of an inch to 0.435 of an inch, whilst the interval

occupied by the lac in the other apparatus remained O.62 of an inch as

before. Notwithstanding this change, the lac apparatus showed its former

superiority; and whether it or the air apparatus was charged first, the

capacity of the lac apparatus to the air apparatus was by the experimental

results as 1.45 to 1.

1269. From all the experiments I have made, and their constant results, I

cannot resist the conclusion that shell-lac does exhibit a case of

_specific inductive capacity_. I have tried to check the trials in every

way, and if not remove, at least estimate, every source of error. That the

final result is not due to common conduction is shown by the capability of

the apparatus to retain the communicated charge; that it is not due to the

conductive power of inclosed small particles, by which they could acquire a

polarized condition as conductors, is shown by the effects of the shell-lac

purified by alcohol; and, that it is not due to any influence of the

charged state, formerly described (1250.), first absorbing and then

evolving electricity, is indicated by the _instantaneous_ assumption and

discharge of those portions of the power which are concerned in the

phenomena, that instantaneous effect occurring in these cases, as in all

others of ordinary induction, by charged conductors. The latter argument is

the more striking in the case where the air apparatus is employed to divide

the charge with the lac apparatus, for it obtains its portion of

electricity in an _instant_, and yet is charged far above the _mean_.

1270. Admitting for the present the general fact sought to be proved; then

1.5, though it expresses the capacity of the apparatus containing the

hemisphere of shell-lac, by no means expresses the relation of lac to air.

The lac only occupies one-half of the space _o, o_, of the apparatus

containing it, through which the induction is sustained; the rest is filled

with air, as in the other apparatus; and if the effect of the two upper

halves of the globes be abstracted, then the comparison of the shell-lac

powers in the lower half of the one, with the power of the air in the lower

half of the other, will be as 2:1; and even this must be less than the

truth, for the induction of the upper part of the apparatus, i.e. of the

wire and ball B. (fig. 104.) to external objects, must be the same in both,

and considerably diminish the difference dependent upon, and really

producible by, the influence of the shell-lac within.

* * * * *

1271. _Glass._--I next worked with glass as the dielectric. It involved the

possibility of conduction on its surface, but it excluded the idea of

conducting particles within its substance (1267.) other than those of its

own mass. Besides this it does not assume the charged state (1239.) so

readily, or to such an extent, as shell-lac.

1272. A thin hemispherical cup of glass being made hot was covered with a

coat of shell-lac dissolved in alcohol, and after being dried for many

hours in a hot place, was put into the apparatus and experimented with. It

exhibited effects so slight, that, though they were in the direction

indicating a superiority of glass over air, they were allowed to pass as

possible errors of experiment; and the glass was considered as producing no

sensible effect.

1273. I then procured a thick hemispherical flint glass cup resembling that

of shell-lac (1239.), but not filling up the space _o, o_, so well. Its

average thickness was 0.4 of an inch, there being an additional thickness

of air, averaging 0.22 of an inch, to make up the whole space of 0.62 of an

inch between the inductive metallic surfaces. It was covered with a film of

shell-lac as the former was, (1272.) and being made very warm, was

introduced into the apparatus, also warmed, and experiments made with it as

in the former instances (1257. &c.). The general results were the same as

with shell-lac, i.e. glass surpassed air in its power of favouring

induction through it. The two best results as respected the state of the

apparatus for retention of charge, &c., gave, when the air apparatus was

charged first 1.336, and when the glass apparatus was charged first 1.45,

as the specific inductive capacity for glass, both being without

correction. The average of nine results, four with the glass apparatus

first charged, and five with the air apparatus first charged, gave 1.38 as

the power of the glass apparatus; 1.22 and 1.46 being the minimum and

maximum numbers with all the errors of experiment upon them. In all the

experiments the glass apparatus took up its inductive charge instantly, and

lost it as readily (1269.); and during the short time of each experiment,

acquired the peculiar state in a small degree only, so that the influence

of this state, and also of conduction upon the results, must have been

small.

1274. Allowing specific inductive capacity to be proved and active in this

case, and 1.38 as the expression for the glass apparatus, then the specific

inductive capacity of flint glass will be above 1.76, not forgetting that

this expression is for a piece of glass of such thickness as to occupy not

quite two-thirds of the space through which the induction is sustained

(1253. 1273.).

* * * * *

1275. _Sulphur._--The same hemisphere of this substance was used in app.

ii. as was formerly referred to (1242.). The experiments were well made,

i.e. the sulphur itself was free from charge both before and after each

experiment, and no action from the stem appeared (1203. 1232.), so that no

correction was required on that account. The following are the results when

the air apparatus was first charged and divided:

App. i. Air, App. ii. Sulphur.

Balls 280°.

0° . . . .

. . . . 0°

438 . . . .

434 . . . .

Charge divided.

. . . . 162

164 . . . .

. . . . 160

162 . . . .

. . . . 0 after discharge.

0 . . . . after discharge.

Here app. i. retained 164°, having lost 276° in communicating 162° to app.

ii., and the capacity of the air apparatus is to that of the sulphur

apparatus as 1 to 1.66.

1276. Then the sulphur apparatus was charged first, thus:

. . . . 0°

0° . . . .

. . . . 395

. . . . 388

Charge divided.

237 . . . .

. . . . 238

0 . . . . after discharge.

. . . . 0 after discharge.

Here app. ii. retained 238°, and gave up 150° in communicating a charge of

237° to app. i., and the capacity of the air apparatus is to that of the

sulphur apparatus as 1 to 1.58. These results are very near to each other,

and we may take the mean 1.62 as representing the specific inductive

capacity of the sulphur apparatus; in which case the specific inductive

capacity of sulphur itself as compared to air = 1 (1270.) will be about or

above 2.24.

1277. This result with sulphur I consider as one of the most

unexceptionable. The substance when fused was perfectly clear, pellucid,

and free from particles of dirt (1267.), so that no interference of small

conducting bodies confused the result. The substance when solid is an

excellent insulator, and by experiment was found to take up, with great

slowness, that state (1244. 1242.) which alone seemed likely to disturb the

conclusion. The experiments themselves, also, were free from any need of

correction. Yet notwithstanding these circumstances, so favourable to the

exclusion of error, the result is a higher specific inductive capacity for

sulphur than for any other body as yet tried; and though this may in part

be clue to the sulphur being in a better shape, i.e. filling up more

completely the space _o, o_, (fig. 104.) than the cups of shell-lac and

glass, still I feel satisfied that the experiments altogether fully prove

the existence of a difference between dielectrics as to their power of

favouring an inductive action through them; which difference may, for the

present, be expressed by the term _specific inductive capacity_.

1278. Having thus established the point in the most favourable cases that I

could anticipate, I proceeded to examine other bodies amongst solids,

liquids, and gases. These results I shall give with all convenient brevity.

* * * * *

1279. _Spermaceti._--A good hemisphere of spermaceti being tried as to

conducting power whilst its two surfaces were still in contact with the

tinfoil moulds used in forming it, was found to conduct sensibly even

whilst warm. On removing it from the moulds and using it in one of the

apparatus, it gave results indicating a specific inductive capacity between

1.3 and 1.6 for the apparatus containing it. But as the only mode of

operation was to charge the air apparatus, and then after a quick contact

with the spermaceti apparatus, ascertain what was left in the former

(1281.), no great confidence can be placed in the results. They are not in

opposition to the general conclusion, but cannot be brought forward as

argument in favour of it.

* * * * *

1280. I endeavoured to find some liquids which would insulate well, and

could be obtained in sufficient quantity for these experiments. Oil of

turpentine, native naphtha rectified, and the condensed oil gas fluid,

appeared by common experiments to promise best as to insulation. Being left

in contact with fused carbonate of potassa, chloride of lime, and quick

lime for some days and then filtered, they were found much injured in

insulating power; but after distillation acquired their best state, though

even then they proved to be conductors when extensive metallic contact was

made with them.

1281. _Oil of turpentine rectified._--I filled the lower half of app. i.

with the fluid: and as it would not hold a charge sufficiently to enable me

first to measure and then divide it, I charged app. ii. containing air, and

dividing its charge with app. i. by a quick contact, measured that

remaining in app. ii.: for, theoretically, if a quick contact would divide

up to equal tension between the two apparatus, yet without sensible loss

from the conducting power of app. i.; and app. ii. were left charged to a

degree of tension above half the original charge, it would indicate that

oil of turpentine had less specific inductive capacity than air; or, if

left charged below that mean state of tension, it would imply that the

fluid had the greater inductive capacity. In an experiment of this kind,

app. ii. gave as its charge 390° before division with app. i., and 175°

afterwards, which is less than the half of 390°. Again, being at 176°

before division, it was 79° after, which is also less than half the divided

charge. Being at 79°, it was a third time divided, and then fell to 36°,

less than the half of 79°. Such are the best results I could obtain; they

are not inconsistent with the belief that oil of turpentine has a greater

specific capacity than air, but they do not prove the fact, since the

disappearance of more than half the charge may be due to the conducting

power merely of the fluid.

1282. _Naphtha._--This liquid gave results similar in their nature and

direction to those with oil of turpentine.

* * * * *

1283. A most interesting class of substances, in relation to specific

inductive capacity, now came under review, namely, the gases or aëriform

bodies. These are so peculiarly constituted, and are bound together by so

many striking physical and chemical relations, that I expected some

remarkable results from them: air in various states was selected for the

first experiments.

1284. _Air, rare and dense._--Some experiments of division (1208.) seemed

to show that dense and rare air were alike in the property under

examination. A simple and better process was to attach one of the apparatus

to an air-pump, to charge it, and then examine the tension of the charge

when the air within was more or less rarefied. Under these circumstances it

was found, that commencing with a certain charge, that charge did not

change in its tension or force as the air was rarefied, until the

rarefaction was such that _discharge_ across the space _o_, _o_ (fig. 104.)

occurred. This discharge was proportionate to the rarefaction; but having

taken place, and lowered the tension to a certain degree, that degree was

not at all affected by restoring the pressure and density of the air to

their first quantities.

inches of mercury.

Thus at a pressure of 30 the charge was 88°

Again 30 the charge was 88

Again 30 the charge was 87

Reduced to 11 the charge was 87

Raised again to 30 the charge was 86

Being now reduced to 3.4 the charge fell to 81

Raised again to 30 the charge was still 81

1285. The charges were low in these experiments, first that they might not

pass off at low pressure, and next that little loss by dissipation might

occur. I now reduced them still lower, that I might rarefy further, and for

this purpose in the following experiment used a measuring interval in the

electrometer of only 15° (1185.). The pressure of air within the apparatus

being reduced to 1.9 inches of mercury, the charge was found to be 29°;

then letting in air till the pressure was 30 inches, the charge was still

29°.

1286. These experiments were repeated with pure oxygen with the same

consequences.

1287. This result of _no variation_ in the electric tension being produced

by variation in the density or pressure of the air, agrees perfectly with

those obtained by Mr. Harris[A], and described in his beautiful and

important investigations contained in the Philosophical Transactions;

namely that induction is the same in rare and dense air, and that the

divergence of an electrometer under such variations of the air continues

the same, provided no electricity pass away from it. The effect is one

entirely independent of that power which dense air has of causing a higher

charge to be _retained_ upon the surface of conductors in it than can be

retained by the same conductors in rare air; a point I propose considering

hereafter.

[A] Philosophical Transactions, 1834, pp. 223, 224, 237, 244.

1288. I then compared _hot and cold air_ together, by raising the

temperature of one of the inductive apparatus as high as it could be

without injury, and then dividing charges between it and the other

apparatus containing cold air. The temperatures were about 50° and 200°,

Still the power or capacity appeared to be unchanged; and when I

endeavoured to vary the experiment, by charging a cold apparatus and then

warming it by a spirit lamp, I could obtain no proof that the inductive

capacity underwent any alteration.

1289. I compared _damp and dry air_ together, but could find no difference

in the results.

* * * * *

1290. _Gases._--A very long series of experiments was then undertaken for

the purpose of comparing _different gases_ one with another. They were all

found to insulate well, except such as acted on the shell-lac of the

supporting stem; these were chlorine, ammonia, and muriatic acid. They were

all dried by appropriate means before being introduced into the apparatus.

It would have been sufficient to have compared each with air; but, in

consequence of the striking result which came out, namely, that _all had

the same power of_ or _capacity for_, sustaining induction through them,

(which perhaps might have been expected after it was found that no

variation of density or pressure produced any effect,) I was induced to

compare them, experimentally, two and two in various ways, that no

difference might escape me, and that the sameness of result might stand in

full opposition to the contrast of property, composition, and condition

which the gases themselves presented.

1291. The experiments were made upon the following pairs of gases.

1. Nitrogen and Oxygen.

2. Oxygen Air.

3. Hydrogen Air.

4. Muriatic acid gas Air.

5. Oxygen Hydrogen.

5. Oxygen Carbonic acid.

7. Oxygen Olefiant gas.

8. Oxygen Nitrous gas.

9. Oxygen Sulphurous acid.

10. Oxygen Ammonia.

11. Hydrogen Carbonic acid.

12 Hydrogen Olefiant gas.

13. Hydrogen Sulphurous acid.

14. Hydrogen Fluo-silicic acid.

15. Hydrogen Ammonia.

16, Hydrogen Arseniuretted hydrogen.

17. Hydrogen Sulphuretted hydrogen.

18, Nitrogen Olefiant gas.

19. Nitrogen Nitrous gas.

20. Nitrogen Nitrous oxide.

21. Nitrogen Ammonia.

22. Carbonic oxide Carbonic acid.

23. Carbonic oxide Olefiant gas.

24. Nitrous oxide Nitrous gas.

25. Ammonia Sulphurous acid.

1292. Notwithstanding the striking contrasts of all kinds which these gases

present of property, of density, whether simple or compound, anions or

cations (665.), of high or low pressure (1284. 1286.), hot or cold (1288.),

not the least difference in their capacity to favour or admit electrical

induction through them could be perceived. Considering the point

established, that in all these gases induction takes place by an action of

contiguous particles, this is the more important, and adds one to the many

striking relations which hold between bodies having the gaseous condition

and form. Another equally important electrical relation, which will be

examined in the next paper[A], is that which the different gases have to

each other at the _same pressure_ of causing the retention of the _same or

different degrees of charge_ upon conductors in them. These two results

appear to bear importantly upon the subject of electrochemical excitation

and decomposition; for as _all_ these phenomena, different as they seem to

be, must depend upon the electrical forces of the particles of matter, the

very distance at which they seem to stand from each other will do much, if

properly considered, to illustrate the principle by which they are held in

one common bond, and subject, as they must be, to one common law.

[A] See in relation to this point 1382. &c.--_Dec. 1838._

1293. It is just possible that the gases may differ from each other in

their specific inductive capacity, and yet by quantities so small as not to

be distinguished in the apparatus I have used. It must be remembered,

however, that in the gaseous experiments the gases occupy all the space _o,

o_, (fig. 104.) between the inner and the outer ball, except the small

portion filled by the stem; and the results, therefore, are twice as

delicate as those with solid dielectrics.

1294. The insulation was good in all the experiments recorded, except Nos.

10, 15, 21, and 25, being those in which ammonia was compared with other

gases. When shell-lac is put into ammoniacal gas its surface gradually

acquires conducting power, and in this way the lac part of the stem within

was so altered, that the ammonia apparatus could not retain a charge with

sufficient steadiness to allow of division. In these experiments,

therefore, the other apparatus was charged; its charge measured and divided

with the ammonia apparatus by a quick contact, and what remained untaken

away by the division again measured (1281.). It was so nearly one-half of

the original charge, as to authorize, with this reservation, the insertion

of ammoniacal gas amongst the other gases, as having equal power with them.

¶ vi. _General results as to induction._

1295. Thus _induction_ appears to be essentially an action of contiguous

particles, through the intermediation of which the electric force,

originating or appearing at a certain place, is propagated to or sustained

at a distance, appearing there as a force of the same kind exactly equal in

amount, but opposite in its direction and tendencies (1164.). Induction

requires no sensible thickness in the conductors which may be used to limit

its extent; an uninsulated leaf of gold may be made very highly positive on

one surface, and as highly negative on the other, without the least

interference of the two states whilst the inductions continue. Nor is it

affected by the nature of the limiting conductors, provided time be

allowed, in the case of those which conduct slowly, for them to assume

their final state (1170.).

1296. But with regard to the _dielectrics_ or insulating media, matters are

very different (1167.). Their thickness has an immediate and important

influence on the degree of induction. As to their quality, though all gases

and vapours are alike, whatever their state; yet amongst solid bodies, and

between them and gases, there are differences which prove the existence of

_specific inductive capacities_, these differences being in some cases very

great.

1297. The direct inductive force, which may be conceived to be exerted in

lines between the two limiting and charged conducting surfaces, is

accompanied by a lateral or transverse force equivalent to a dilatation or

repulsion of these representative lines (1224.); or the attractive force

which exists amongst the particles of the dielectric in the direction of

the induction is accompanied by a repulsive or a diverging force in the

transverse direction (1304.).

1298. Induction appears to consist in a certain polarized state of the

particles, into which they are thrown by the electrified body sustaining

the action, the particles assuming positive and negative points or parts,

which are symmetrically arranged with respect to each other and the

inducting surfaces or particles[A]. The state must be a forced one, for it

is originated and sustained only by force, and sinks to the normal or

quiescent state when that force is removed. It can be _continued_ only in

insulators by the same portion of electricity, because they only can retain

this state of the particles (1304).

[A] The theory of induction which I am stating does not pretend to

decide whether electricity be a fluid or fluids, or a mere power or

condition of recognized matter. That is a question which I may be

induced to consider in the next or following series of these

researches.

1299. The principle of induction is of the utmost generality in electric

action. It constitutes charge in every ordinary case, and probably in every

case; it appears to be the cause of all excitement, and to precede every

current. The degree to which the particles are affected in this their

forced state, before discharge of one kind or another supervenes, appears

to constitute what we call _intensity_.

1300. When a Leyden jar is _charged_, the particles of the glass are forced

into this polarized and constrained condition by the electricity of the

charging apparatus. _Discharge_ is the return of these particles to their

natural state from their state of tension, whenever the two electric forces

are allowed to be disposed of in some other direction.

1301. All charge of conductors is on their surface, because being

essentially inductive, it is there only that the medium capable of

sustaining the necessary inductive state begins. If the conductors are

hollow and contain air or any other dielectric, still no _charge_ can

appear upon that internal surface, because the dielectric there cannot

assume the polarized state throughout, in consequence of the opposing

actions in different directions.

1302. The known influence of _form_ is perfectly consistent with the

corpuscular view of induction set forth. An electrified cylinder is more

affected by the influence of the surrounding conductors (which complete the

condition of charge) at the ends than at the middle, because the ends are

exposed to a greater sum of inductive forces than the middle; and a point

is brought to a higher condition than a ball, because by relation to the

conductors around, more inductive force terminates on its surface than on

an equal surface of the ball with which it is compared. Here too,

especially, can be perceived the influence of the lateral or transverse

force (1297.), which, being a power of the nature of or equivalent to

repulsion, causes such a disposition of the lines of inductive force in

their course across the dielectric, that they must accumulate upon the

point, the end of the cylinder, or any projecting part.

1303. The influence of _distance_ is also in harmony with the same view.

There is perhaps no distance so great that induction cannot take place

through it[A]; but with the same constraining force (1298.) it takes place

the more easily, according as the extent of dielectric through which it is

exerted is lessened. And as it is assumed by the theory that the particles

of the dielectric, though tending to remain in a normal state, are thrown

into a forced condition during the induction; so it would seem to follow

that the fewer there are of these intervening particles opposing their

tendency to the assumption of the new state, the greater degree of change

will they suffer, i.e. the higher will be the condition they assume, and

the larger the amount of inductive action exerted through them.

[A] I have traced it experimentally from a ball placed in the middle

of the large cube formerly described (1173.) to the sides of the cube

six feet distant, and also from the same ball placed in the middle of

our large lecture-room to the walls of the room at twenty-six feet

distance, the charge sustained upon the ball in these cases being

solely due to induction through these distances.

1304. I have used the phrases _lines of inductive force_ and _curved lines_

of force (1231. 1297. 1298. 1302.) in a general sense only, just as we

speak of the lines of magnetic force. The lines are imaginary, and the

force in any part of them is of course the resultant of compound forces,

every molecule being related to every other molecule in _all_ directions by

the tension and reaction of those which are contiguous. The transverse

force is merely this relation considered in a direction oblique to the

lines of inductive force, and at present I mean no more than that by the

phrase. With respect to the term _polarity_ also, I mean at present only a

disposition of force by which the same molecule acquires opposite powers on

different parts. The particular way in which this disposition is made will

come into consideration hereafter, and probably varies in different bodies,

and so produces variety of electrical relation[A]. All I am anxious about

at present is, that a more particular meaning should not be attached to the

expressions used than I contemplate. Further inquiry, I trust, will enable

us by degrees to restrict the sense more and more, and so render the

explanation of electrical phenomena day by day more and more definite.

[A] See now 1685. &c.--_Dec. 1838._

1305. As a test of the probable accuracy of my views, I have throughout

this experimental examination compared them with the conclusions drawn by

M. Poisson from his beautiful mathematical inquiries[A]. I am quite unfit

to form a judgment of these admirable papers; but as far as I can perceive,

the theory I have set forth and the results I have obtained are not in

opposition to such of those conclusions as represent the final disposition

and state of the forces in the limited number of cases be has considered.

His theory assumes a very different mode of action in induction to that

which I have ventured to support, and would probably find its mathematical

test in the endeavour to apply it to cases of induction in curved lines. To

my feeling it is insufficient in accounting for the retention of

electricity upon the surface of conductors by the pressure of the air, an

effect which I hope to show is simple and consistent according to the

present view[B]; and it does not touch voltaic electricity, or in any way

associate it and what is called ordinary electricity under one common

principle.

[A] Mémoires de L'Institut, 1811, tom. xii. the first page 1, and the

second paging 163.

[B] Refer to 1377, 1378, 1379, 1398.--_Dec. 1838._

I have also looked with some anxiety to the results which that

indefatigable philosopher Harris has obtained in his investigation of the

laws of induction[A], knowing that they were experimental, and having a

full conviction of their exactness; but I am happy in perceiving no

collision at present between them and the views I have taken.

[A] Philosophical Transactions, 1834, p. 213.

1306. Finally, I beg to say that I put forth my particular view with doubt

and fear, lest it should not bear the test of general examination, for

unless true it will only embarrass the progress of electrical science. It

has long been on my mind, but I hesitated to publish it until the

increasing persuasion of its accordance with all known facts, and the

manner in which it linked together effects apparently very different in

kind, urged me to write the present paper. I as yet see no inconsistency

between it and nature, but, on the contrary, think I perceive much new

light thrown by it on her operations; and my next papers will be devoted to

a review of the phenomena of conduction, electrolyzation, current,

magnetism, retention, discharge, and some other points, with an application

of the theory to these effects, and an examination of it by them.

_Royal Institution,

November 16, 1837._

* * * * *

_Supplementary Note to Experimental Researches in Electricity._

_Eleventh Series._

Received March 29, 1838.

1307. I have recently put into an experimental form that general statement

of the question of _specific inductive capacity_ which is given at No. 1252

of Series XI., and the result is such as to lead me to hope the Council of

the Royal Society will authorize its addition to the paper in the form of a

supplementary note. Three circular brass plates, about five inches in

diameter, were mounted side by side upon insulating pillars; the middle

one, A, was a fixture, but the outer plates B and C were moveable on

slides, so that all three could be brought with their sides almost into

contact, or separated to any required distance. Two gold leaves were

suspended in a glass jar from insulated wires; one of the outer plates B

was connected with one of the gold leaves, and the other outer plate with

the other leaf. The outer plates B and C were adjusted at the distance of

an inch and a quarter from the middle plate A, and the gold leaves were

fixed at two inches apart; A was then slightly charged with electricity,

and the plates B and C, with their gold leaves, thrown out of insulation

_at the same time_, and then left insulated. In this state of things A was

charged positive inductrically, and B and C negative inducteously; the same

dielectric, air, being in the two intervals, and the gold leaves hanging,

of course, parallel to each other in a relatively unelectrified state.

1308. A plate of shell-lac three-quarters of an inch in thickness, and four

inches square, suspended by clean white silk thread, was very carefully

deprived of all charge (1203.) (so that it produced no effect on the gold

leaves if A were uncharged) and then introduced between plates A and B; the

electric relation of the three plates was immediately altered, and the gold

leaves attracted each other. On removing the shell-lac this attraction

ceased; on introducing it between A and C it was renewed; on removing it

the attraction again ceased; and the shell-lac when examined by a delicate

Coulomb electrometer was still without charge.

1309. As A was positive, B and C were of course negative; but as the

specific inductive capacity of shell-lac is about twice that of air

(1270.), it was expected that when the lac was introduced between A and B,

A would induce more towards B than towards C; that therefore B would become

more negative than before towards A, and consequently, because of its

insulated condition, be positive externally, as at its back or at the gold

leaves; whilst C would be less negative towards A, and therefore negative

outwards or at the gold leaves. This was found to be the case; for on

whichever side of A the shell-lac was introduced the external plate at that

side was positive, and the external plate on the other side negative

towards each other, and also to uninsulated external bodies.

1310. On employing a plate of sulphur instead of shell-lac, the same

results were obtained; consistent with the conclusions drawn regarding the

high specific inductive capacity of that body already given (1276.).

1311. These effects of specific inductive capacity can be exalted in

various ways, and it is this capability which makes the great value of the

apparatus. Thus I introduced the shell-lac between A and B, and then for a

moment connected B and C, uninsulated them, and finally left them in the

insulated state; the gold leaves were of course hanging parallel to each

other. On removing the shell-lac the gold leaves attracted each other; on

introducing the shell-lac between A and C this attraction was _increased_,

(as had been anticipated from theory,) and the leaves came together, though

not more than four inches long, and hanging three inches apart.

1312. By simply bringing the gold leaves nearer to each other I was able to

show the difference of specific inductive capacity when only thin plates of

shell-lac were used, the rest of the dielectric space being filled with

air. By bringing B and C nearer to A another great increase of sensibility

was made. By enlarging the size of the plates still further power was

gained. By diminishing the extent of the wires, &c. connected with the gold

leaves, another improvement resulted. So that in fact the gold leaves

became, in this manner, as delicate a test of _specific inductive action_

as they are, in Bennet's and Singer's electrometers, of ordinary electrical

charge.

1313. It is evident that by making the three plates the sides of cells,

with proper precautions as regards insulation, &c., this apparatus may be

used in the examination of gases, with far more effect than the former

apparatus (1187. 1290), and may, perhaps, bring out differences which have

as yet escaped me (1292. 1293.)

1314. It is also evident that two metal plates are quite sufficient to form

the instrument; the state of the single inducteous plate when the

dielectric is changed, being examined either by bringing a body excited in

a known manner towards its gold leaves, or, what I think will be better,

employing a carrier ball in place of the leaf, and examining that ball by

the Coulomb electrometer (1180.). The inductive and inducteous surfaces may

even be balls; the latter being itself the carrier ball of the Coulomb's

electrometer (1181. 1229.).

1315. To increase the effect, a small condenser may be used with great

advantage. Thus if, when two inducteous plates are used, a little condenser

were put in the place of the gold leaves, I have no doubt the three

principal plates might be reduced to an inch or even half an inch in

diameter. Even the gold leaves act to each other for the time as the plates

of a condenser. If only two plates were used, by the proper application of

the condenser the same reduction might take place. This expectation is

fully justified by an effect already observed and described (1229.).

1316. In that case the application of the instrument to very extensive

research is evident. Comparatively small masses of dielectrics could be

examined, as diamonds and crystals. An expectation, that the specific

inductive capacity of crystals will vary in different directions, according

as the lines of inductive force (1304.) are parallel to, or in other

positions in relation to the axes of the crystals, can be tested[A]: I

purpose that these and many other thoughts which arise respecting specific

inductive action and the polarity of the particles of dielectric matter,

shall be put to the proof as soon as I can find time.

[A] Refer for this investigation to 1680-1698.--_Dec. 1838._

1317. Hoping that this apparatus will form an instrument of considerable

use, I beg to propose for it (at the suggestion of a friend) the name of

_Differential Inductometer_.

_Royal Institution,

March 29, 1838._

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