FOOTNOTES:

[1] See Hittorf, _Pogg. Ann._ cvi. 517 (1859).

[2] _Grundriss der Elektrochemie_ (1895), p. 292; see also F. Kaufler

and C. Herzog, _Ber._, 1909, 42, p. 3858.

[3] _Brit. Ass. Rep._, 1906, Section A, Presidential Address.

[4] See _Theory of Solution_, by W.C.D. Whetham (1902), p. 328.

[5] W. Ostwald, _Zeits. physikal. Chemie_, 1892, vol. IX. p. 579; T.

Ewan, _Phil. Mag._ (5), 1892, vol. xxxiii. p. 317; G.D. Liveing,

_Cambridge Phil. Trans._, 1900, vol. xviii. p. 298.

[6] See W.B. Hardy, _Journal of Physiology_, 1899, vol. xxiv. p. 288;

and W.C.D. Whetham, _Phil. Mag._, November 1899.

[7] _Zeits. physikal. Chem._ 2, p. 613.

[8] _Wied. Ann._, 1890, 40, p. 561.

ELECTROMAGNETISM, that branch of physical science which is concerned

with the interconnexion of electricity and magnetism, and with the

production of magnetism by means of electric currents by devices called

electromagnets.

_History._--The foundation was laid by the observation first made by

Hans Christian Oersted (1777-1851), professor of natural philosophy in

Copenhagen, who discovered in 1820 that a wire uniting the poles or

terminal plates of a voltaic pile has the property of affecting a

magnetic needle[1] (see ELECTRICITY). Oersted carefully ascertained

that the nature of the wire itself did not influence the result but saw

that it was due to the electric conflict, as he called it, round the

wire; or in modern language, to the magnetic force or magnetic flux

round the conductor. If a straight wire through which an electric

current is flowing is placed above and parallel to a magnetic compass

needle, it is found that if the current is flowing in the conductor in a

direction from south to north, the north pole of the needle under the

conductor deviates to the left hand, whereas if the conductor is placed

under the needle, the north pole deviates to the right hand; if the

conductor is doubled back over the needle, the effects of the two sides

of the loop are added together and the deflection is increased. These

results are summed up in the mnemonic rule: _Imagine yourself swimming

in the conductor with the current, that is, moving in the direction of

the positive electricity, with your face towards the magnetic needle;

the north pole will then deviate to your left hand._ The deflection of

the magnetic needle can therefore reveal the existence of an electric

current in a neighbouring circuit, and this fact was soon utilized in

the construction of instruments called galvanometers (q.v.).

Immediately after Oersted's discovery was announced, D.F.J. Arago and

A.M. Ampere began investigations on the subject of electromagnetism. On

the 18th of September 1820, Ampere read a paper before the Academy of

Sciences in Paris, in which he announced that the voltaic pile itself

affected a magnetic needle as did the uniting wire, and he showed that

the effects in both cases were consistent with the theory that electric

current was a circulation round a circuit, and equivalent in magnetic

effect to a very short magnet with axis placed at right angles to the

plane of the circuit. He then propounded his brilliant hypothesis that

the magnetization of iron was due to molecular electric currents. This

suggested to Arago that wire wound into a helix carrying electric

current should magnetize a steel needle placed in the interior. In the

_Ann. Chim._ (1820, 15, p. 94), Arago published a paper entitled

"Experiences relatives a l'aimantation du fer et de l'acier par l'action

du courant voltaique," announcing that the wire conveying the current,

even though of copper, could magnetize steel needles placed across it,

and if plunged into iron filings it attracted them. About the same time

Sir Humphry Davy sent a communication to Dr W.H. Wollaston, read at the

Royal Society on the 16th of November 1820 (reproduced in the _Annals of

Philosophy_ for August 1821, p. 81), "On the Magnetic Phenomena produced

by Electricity," in which he announced his independent discovery of the

same fact. With a large battery of 100 pairs of plates at the Royal

Institution, he found in October 1820 that the uniting wire became

strongly magnetic and that iron filings clung to it; also that steel

needles placed across the wire were permanently magnetized. He placed a

sheet of glass over the wire and sprinkling iron filings on it saw that

they arranged themselves in straight lines at right angles to the wire.

He then proved that Leyden jar discharges could produce the same

effects. Ampere and Arago then seem to have experimented together and

magnetized a steel needle wrapped in paper which was enclosed in a

helical wire conveying a current. All these facts were rendered

intelligible when it was seen that a wire when conveying an electric

current becomes surrounded by a magnetic field. If the wire is a long

straight one, the lines of magnetic force are circular and concentric

with centres on the wire axis, and if the wire is bent into a circle the

lines of magnetic force are endless loops surrounding and linked with

the electric circuit. Since a magnetic pole tends to move along a line

of magnetic force it was obvious that it should revolve round a wire

conveying a current. To exhibit this fact involved, however, much

ingenuity. It was first accomplished by Faraday in October 1821 (_Exper.

Res._ ii. p. 127). Since the action is reciprocal a current free to move

tends to revolve round a magnetic pole. The fact is most easily shown by

a small piece of apparatus made as follows: In a glass cylinder (see

fig. 1) like a lamp chimney are fitted two corks. Through the bottom one

is passed the north end of a bar magnet which projects up above a little

mercury lying in the cork. Through the top cork is passed one end of a

wire from a battery, and a piece of wire in the cylinder is flexibly

connected to it, the lower end of this last piece just touching the

mercury. When a current is passed in at the top wire and out at the

lower end of the bar magnet, the loose wire revolves round the magnet

pole. All text-books on physics contain in their chapters on

electromagnetism full accounts of various forms of this experiment.

[Illustration: FIG. 1.]

In 1825 another important step forward was taken when William Sturgeon

(1783-1850) of London produced the electromagnet. It consisted of a

horseshoe-shaped bar of soft iron, coated with varnish, on which was

wrapped a spiral coil of bare copper wire, the turns not touching each

other. When a voltaic current was passed through the wire the iron

became a powerful magnet, but on severing the connexion with the

battery, the soft iron lost immediately nearly all its magnetism.[2]

At that date Ohm had not announced his law of the electric circuit, and

it was a matter of some surprise to investigators to find that

Sturgeon's electromagnet could not be operated at a distance through a

long circuit of wire with such good results as when close to the

battery. Peter Barlow, in January 1825, published in the _Edinburgh

Philosophical Journal_, a description of such an experiment made with a

view of applying Sturgeon's electromagnet to telegraphy, with results

which were unfavourable. Sturgeon's experiments, however, stimulated

Joseph Henry (q.v.) in the United States, and in 1831 he gave a

description of a method of winding electromagnets which at once put a

new face upon matters (_Silliman's Journal_, 1831, 19, p. 400). Instead

of insulating the iron core, he wrapped the copper wire round with silk

and wound in numerous turns and many layers upon the iron horseshoe in

such fashion that the current went round the iron always in the same

direction. He then found that such an electromagnet wound with a long

fine wire, if worked with a battery consisting of a large number of

cells in series, could be operated at a considerable distance, and he

thus produced what were called at that time _intensity electromagnets_,

and which subsequently rendered the electric telegraph a possibility. In

fact, Henry established in 1831, in Albany, U.S.A., an electromagnetic

telegraph, and in 1835 at Princeton even used an earth return, thereby

anticipating the discovery (1838) of C.A. Steinheil (1801-1870) of

Munich.

[Illustration: FIG. 2.]

Inventors were then incited to construct powerful electromagnets as

tested by the weight they could carry from their armatures. Joseph Henry

made a magnet for Yale College, U.S.A., which lifted 3000 lb.

(_Silliman's Journal_, 1831, 20, p. 201), and one for Princeton which

lifted 3000 with a very small battery. Amongst others J.P. Joule, ever

memorable for his investigations on the mechanical equivalent of heat,

gave much attention about 1838-1840 to the construction of

electromagnets and succeeded in devising some forms remarkable for their

lifting power. One form was constructed by cutting a thick soft iron

tube longitudinally into two equal parts. Insulated copper wire was then

wound longitudinally over one of both parts (see fig. 2) and a current

sent through the wire. In another form two iron disks with teeth at

right angles to the disk had insulated wire wound zigzag between the

teeth; when a current was sent through the wire, the teeth were so

magnetized that they were alternately N. and S. poles. If two such

similar disks were placed with teeth of opposite polarity in contact, a

very large force was required to detach them, and with a magnet and

armature weighing in all 11.575 lb. Joule found that a weight of 2718

was supported. Joule's papers on this subject will be found in his

_Collected Papers_ published by the Physical Society of London, and in

_Sturgeon's Annals of Electricity_, 1838-1841, vols. 2-6.

_The Magnetic Circuit._--The phenomena presented by the electromagnet

are interpreted by the aid of the notion of the magnetic circuit. Let

us consider a thin circular sectioned ring of iron wire wound over

with a solenoid or spiral of insulated copper wire through which a

current of electricity can be passed. If the solenoid or wire windings

existed alone, a current having a strength A amperes passed through it

would create in the interior of the solenoid a magnetic force H,

numerically equal to 4[pi]/10 multiplied by the number of windings N

on the solenoid, and by the current in amperes A, and divided by the

mean length of the solenoid l, or H = 4[pi]AN/10l. The product AN is

called the "ampere-turns" on the solenoid. The product Hl of the

magnetic force H and the length l of the magnetic circuit is called

the "magnetomotive force" in the magnetic circuit, and from the above

formula it is seen that the magnetomotive force denoted by (M.M.F.) is

equal to 4[pi]/10 (= 1.25 nearly) times the ampere-turns (A.N.) on the

exciting coil or solenoid. Otherwise (A.N.) = 0.8(M.M.F.). The

magnetomotive force is regarded as creating an effect called magnetic

flux (Z) in the magnetic circuit, just as electromotive force E.M.F.

produces electric current (A) in the electric circuit, and as by Ohm's

law (see ELECTROKINETICS) the current varies as the E.M.F. and

inversely as a quality of the electric circuit called its

"resistance," so in the magnetic circuit the magnetic flux varies as

the magnetomotive force and inversely as a quality of the magnetic

circuit called its "reluctance." The great difference between the

electric circuit and the magnetic circuit lies in the fact that

whereas the electric resistance of a solid or liquid conductor is

independent of the current and affected only by the temperature, the

magnetic reluctance varies with the magnetic flux and cannot be

defined except by means of a curve which shows its value for different

flux densities. The quotient of the total magnetic flux, Z, in a

circuit by the cross section, S, of the circuit is called the mean

"flux density," and the reluctance of a magnetic circuit one

centimetre long and one square centimetre in cross section is called

the "reluctivity" of the material. The relation between reluctivity

[rho] = 1/[mu] magnetic force H, and flux density B, is defined by the

equation H = [rho]B, from which we have Hl = Z([rho]l/S) = M.M.F.

acting on the circuit. Again, since the ampere-turns (AN) on the

circuit are equal to 0.8 times the M.M.F., we have finally AN/l =

0.8(Z/[mu]S). This equation tells us the exciting force reckoned in

ampere-turns, AN, which must be put on the ring core to create a total

magnetic flux Z in it, the ring core having a mean perimeter l and

cross section S and reluctivity [rho] = 1/[mu] corresponding to a flux

density Z/S. Hence before we can make use of the equation for

practical purposes we need to possess a curve for the particular

material showing us the value of the reluctivity corresponding to

various values of the possible flux density. The reciprocal of [rho]

is usually called the "permeability" of the material and denoted by

[mu]. Curves showing the relation of 1/[rho] and ZS or [mu] and B, are

called "permeability curves." For air and all other non-magnetic

matter the permeability has the same value, taken arbitrarily as

unity. On the other hand, for iron, nickel and cobalt the permeability

may in some cases reach a value of 2000 or 2500 for a value of B =

5000 in C.G.S. measure (see UNITS, PHYSICAL). The process of taking

these curves consists in sending a current of known strength through a

solenoid of known number of turns wound on a circular iron ring of

known dimensions, and observing the time-integral of the secondary

current produced in a secondary circuit of known turns and resistance

R wound over the iron core N times. The secondary electromotive force

is by Faraday's law (see ELECTROKINETICS) equal to the time rate of

change of the total flux, or E = NdZ/dt. But by Ohm's law E = Rdq/dt,

where q is the quantity of electricity set flowing in the secondary

circuit by a change dZ in the co-linked total flux. Hence if 2Q

represents this total quantity of electricity set flowing in the

secondary circuit by suddenly reversing the direction of the magnetic

flux Z in the iron core we must have

RQ = NZ or Z = RQ/N.

The measurement of the total quantity of electricity Q can be made by

means of a ballistic galvanometer (q.v.), and the resistance R of the

secondary circuit includes that of the coil wound on the iron core and

the galvanometer as well. In this manner the value of the total flux Z

and therefore of Z/S = B or the flux density, can be found for a given

magnetizing force H, and this last quantity is determined when we know

the magnetizing current in the solenoid and its turns and dimensions.

The curve which delineates the relation of H and B is called the

magnetization curve for the material in question. For examples of

these curves see MAGNETISM.

The fundamental law of the non-homogeneous magnetic circuit traversed

by one and the same total magnetic flux Z is that the sum of all the

magnetomotive forces acting in the circuit is numerically equal to the

product of the factor 0.8, the total flux in the circuit, and the sum

of all the reluctances of the various parts of the circuit. If then

the circuit consists of materials of different permeability and it is

desired to know the ampere-turns required to produce a given total of

flux round the circuit, we have to calculate from the magnetization

curves of the material of each part the necessary magnetomotive forces

and add these forces together. The practical application of this

principle to the predetermination of the field windings of dynamo

magnets was first made by Drs J. and E. Hopkinson (_Phil. Trans._,

1886, 177, p. 331).

We may illustrate the principles of this predetermination by a simple

example. Suppose a ring of iron has a mean diameter of 10 cms. and a

cross section of 2 sq. cms., and a transverse cut on air gap made in

it 1 mm. wide. Let us inquire the ampere-turns to be put upon the ring

to create in it a total flux of 24,000 C.G.S. units. The total length

of the iron part of the circuit is (10[pi] - 0.1) cms., and its

section is 2 sq. cms., and the flux density in it is to be 12,000.

From Table II. below we see that the permeability of pure iron

corresponding to a flux density of 12,000 is 2760. Hence the

reluctance of the iron circuits is equal to

10[pi] - 0.1 220

------------ = ----- C.G.S. units.

2760 X 2 38640

The length of the air gap is 0.1 cm., its section 2 sq. cms., and its

permeability is unity. Hence the reluctance of the air gap is

0.1 1

----- = -- C.G.S. unit.

1 X 2 20

Accordingly the magnetomotive force in ampere-turns required to

produce the required flux is equal to

/ 1 220 \

0.8(24,000) ( -- + ----- ) = 1070 nearly.

\20 38640/

It follows that the part of the magnetomotive force required to

overcome the reluctance of the narrow air gap is about nine times that

required for the iron alone.

In the above example we have for simplicity assumed that the flux in

passing across the air gap does not spread out at all. In dealing with

electromagnet design in dynamo construction we have, however, to take

into consideration the spreading as well as the leakage of flux across

the circuit (see DYNAMO). It will be seen, therefore, that in order

that we may predict the effect of a certain kind of iron or steel when

used as the core of an electromagnet, we must be provided with tables

or curves showing the reluctivity or permeability corresponding to

various flux densities or--which comes to the same thing--with (B, H)

curves for the sample.

_Iron and Steel for Electromagnetic Machinery._--In connexion with the

technical application of electromagnets such as those used in the field

magnets of dynamos (q.v.), the testing of different kinds of iron and

steel for magnetic permeability has therefore become very important.

Various instruments called permeameters and hysteresis meters have been

designed for this purpose, but much of the work has been done by means

of a ballistic galvanometer and test ring as above described. The

"hysteresis" of an iron or steel is that quality of it in virtue of

which energy is dissipated as heat when the magnetization is reversed or

carried through a cycle (see MAGNETISM), and it is generally measured

either in ergs per cubic centimetre of metal per cycle of magnetization,

or in watts per lb. per 50 or 100 cycles per second at or corresponding

to a certain maximum flux density, say 2500 or 600 C.G.S. units. For the

details of various forms of permeameter and hysteresis meter technical

books must be consulted.[3]

An immense number of observations have been carried out on the magnetic

permeability of different kinds of iron and steel, and in the following

tables are given some typical results, mostly from experiments made by

J.A. Ewing (see _Proc. Inst. C.E._, 1896, 126, p. 185) in which the

ballistic method was employed to determine the flux density

corresponding to various magnetizing forces acting upon samples of iron

and steel in the form of rings.

The figures under heading I. are values given in a paper by A.W.S.

Pocklington and F. Lydall (_Proc. Roy. Soc_., 1892-1893, 52, pp. 164

and 228) as the results of a magnetic test of an exceptionally pure

iron supplied for the purpose of experiment by Colonel Dyer, of the

Elswick Works. The substances other than iron in this sample were

stated to be: carbon, _trace_; silicon, _trace_; phosphorus, _none_;

sulphur, 0.013%; manganese, 0.1%. The other five specimens, II. to

VI., are samples of commercial iron or steel. No. II. is a sample of

Low Moor bar iron forged into a ring, annealed and turned. No. III. is

a steel forging furnished by Mr R. Jenkins as a sample of forged

ingot-metal for dynamo magnets. No. IV. is a steel casting for dynamo

magnets, unforged, made by Messrs Edgar Allen & Company by a special

pneumatic process under the patents of Mr A. Tropenas. No. V. is also

an unforged steel casting for dynamo magnets, made by Messrs Samuel

Osborne & Company by the Siemens process. No. VI. is also an unforged

steel casting for dynamo magnets, made by Messrs Fried. Krupp, of

Essen.

TABLE I.--_Magnetic Flux Density corresponding to various Magnetizing

Forces in the case of certain Samples of Iron and Steel_ (_Ewing_).

+------------+-----------------------------------------------------+

|Magnetizing | |

| Force | |

| H (C.G.S. | Magnetic Flux Density B (C.G.S. Units). |

| Units). | |

+------------+--------+--------+--------+--------+--------+--------+

| | I. | II. | III. | IV. | V. | VI. |

+------------+--------+--------+--------+--------+--------+--------+

| 5 | 12,700 | 10,900 | 12,300 | 4,700 | 9,600 | 10,900 |

| 10 | 14,980 | 13,120 | 14,920 | 12,250 | 13,050 | 13,320 |

| 15 | 15,800 | 14,010 | 15,800 | 14,000 | 14,600 | 14,350 |

| 20 | 16,300 | 14,580 | 16,280 | 15,050 | 15,310 | 14,950 |

| 30 | 16,950 | 15,280 | 16,810 | 16,200 | 16,000 | 15,660 |

| 40 | 17,350 | 15,760 | 17,190 | 16,800 | 16,510 | 16,150 |

| 50 | .. | 16,060 | 17,500 | 17,140 | 16,900 | 16,480 |

| 60 | .. | 16,340 | 17,750 | 17,450 | 17,180 | 16,780 |

| 70 | .. | 16,580 | 17,970 | 17,750 | 17,400 | 17,000 |

| 80 | .. | 16,800 | 18,180 | 18,040 | 17,620 | 17,200 |

| 90 | .. | 17,000 | 18,390 | 18,230 | 17,830 | 17,400 |

| 100 | .. | 17,200 | 18,600 | 18,420 | 18,030 | 17,600 |

+------------+--------+--------+--------+--------+--------+--------+

It will be seen from the figures and the description of the materials

that the steel forgings and castings have a remarkably high

permeability under small magnetizing force.

Table II. shows the magnetic qualities of some of these materials as

found by Ewing when tested with small magnetizing forces.

TABLE II.--_Magnetic Permeability of Samples of Iron and Steel under

Weak Magnetizing Forces._

+-----------------+-------------+----------------+---------------+

| Magnetic Flux | I. | III. | VI. |

| Density B | Pure Iron. | Steel Forging. | Steel Casting.|

| (C.G.S. Units). | | | |

+-----------------+-------------+----------------+---------------+

| | H [mu] | H [mu] | H [mu] |

| 2,000 | 0.90 2220 | 1.38 1450 | 1.18 1690 |

| 4,000 | 1.40 2850 | 1.91 2090 | 1.66 2410 |

| 6,000 | 1.85 3240 | 2.38 2520 | 2.15 2790 |

| 8,000 | 2.30 3480 | 2.92 2740 | 2.83 2830 |

| 10,000 | 3.10 3220 | 3.62 2760 | 4.05 2470 |

| 12,000 | 4.40 2760 | 4.80 2500 | 6.65 1810 |

+-----------------+-------------+----------------+---------------+

The numbers I., III. and VI. in the above table refer to the samples

mentioned in connexion with Table I.

It is a remarkable fact that certain varieties of low carbon steel

(commonly called mild steel) have a higher permeability than even

annealed Swedish wrought iron under large magnetizing forces. The term

_steel_, however, here used has reference rather to the mode of

production than the final chemical nature of the material. In some of

the mild-steel castings used for dynamo electromagnets it appears that

the total foreign matter, including carbon, manganese and silicon, is

not more than 0.3% of the whole, the material being 99.7% pure iron.

This valuable magnetic property of steel capable of being cast is,

however, of great utility in modern dynamo building, as it enables field

magnets of very high permeability to be constructed, which can be

fashioned into shape by casting instead of being built up as formerly

out of masses of forged wrought iron. The curves in fig. 3 illustrate

the manner in which the flux density or, as it is usually called, the

magnetization curve of this mild cast steel crosses that of Swedish

wrought iron, and enables us to obtain a higher flux density

corresponding to a given magnetizing force with the steel than with the

iron.

From the same paper by Ewing we extract a number of results relating to

permeability tests of thin sheet iron and sheet steel, such as is used

in the construction of dynamo armatures and transformer cores.

No. VII. is a specimen of good transformer-plate, 0.301 millimetre

thick, rolled from Swedish iron by Messrs Sankey of Bilston. No. VIII.

is a specimen of specially thin transformer-plate rolled from scrap

iron. No. IX. is a specimen of transformer-plate rolled from

ingot-steel. No. X. is a specimen of the wire which was used by J.

Swinburne to form the core of his "hedgehog" transformers. Its

diameter was 0.602 millimetre. All these samples were tested in the

form of rings by the ballistic method, the rings of sheet-metal being

stamped or turned in the flat. The wire ring No. X. was coiled and

annealed after coiling.

[Illustration: FIG. 3.]

TABLE III.--_Permeability Tests of Transformer Plate and Wire_.

+---------+--------------+--------------+--------------+--------------+

|Magnetic | VII. | VIII. | IX. | X. |

| Flux | Transformer- | Transformer- | Transformer- | Transformer- |

|Density B| plate of | plate of | plate of | wire. |

| (C.G.S. | Swedish Iron.| Scrap Iron. | of Steel. | |

| Units). | | | | |

+---------+--------------+--------------+--------------+--------------+

| | H [mu] | H [mu] | H [mu] | H [mu] |

| 1,000 | 0.81 1230 | 1.08 920 | 0.60 1470 | 1.71 590 |

| 2,000 | 1.05 1900 | 1.46 1370 | 0.90 2230 | 2.10 950 |

| 3,000 | 1.26 2320 | 1.77 1690 | 1.04 2880 | 2.30 1300 |

| 4,000 | 1.54 2600 | 2.10 1900 | 1.19 3360 | 2.50 1600 |

| 5,000 | 1.82 2750 | 2.53 1980 | 1.38 3620 | 2.70 1850 |

| 6,000 | 2.14 2800 | 3.04 1970 | 1.59 3770 | 2.92 2070 |

| 7,000 | 2.54 2760 | 3.62 1930 | 1.89 3700 | 3.16 2210 |

| 8,000 | 3.09 2590 | 4.37 1830 | 2.25 3600 | 3.43 2330 |

| 9,000 | 3.77 2390 | 5.3 1700 | 2.72 3310 | 3.77 2390 |

| 10,000 | 4.6 2170 | 6.5 1540 | 3.33 3000 | 4.17 2400 |

| 11,000 | 5.7 1930 | 7.9 1390 | 4.15 2650 | 4.70 2340 |

| 12,000 | 7.0 1710 | 9.8 1220 | 5.40 2220 | 5.45 2200 |

| 13,000 | 8.5 1530 | 11.9 1190 | 7.1 1830 | 6.5 2000 |

| 14,000 | 11.0 1270 | 15.0 930 | 10.0 1400 | 8.4 1670 |

| 15,000 | 15.1 990 | 19.5 770 | .. .. | 11.9 1260 |

| 16,000 | 21.4 750 | 27.5 580 | .. .. | 21.0 760 |

+---------+--------------+--------------+--------------+--------------+

Some typical flux-density curves of iron and steel as used in dynamo and

transformer building are given in fig. 4.

[Illustration: FIG. 4.]

The numbers in Table III. well illustrate the fact that the

permeability, [mu] = B/H has a maximum value corresponding to a certain

flux density. The tables are also explanatory of the fact that mild

steel has gradually replaced iron in the manufacture of dynamo

electromagnets and transformer-cores.

Broadly speaking, the materials which are now employed in the

manufacture of the cores of electromagnets for technical purposes of

various kinds may be said to fall into three classes, namely, forgings,

castings and stampings. In some cases the iron or steel core which is to

be magnetized is simply a mass of iron hammered or pressed into shape by

hydraulic pressure; in other cases it has to be fused and cast; and for

certain other purposes it must be rolled first into thin sheets, which

are subsequently stamped out into the required forms.

[Illustration: FIG. 5.]

For particular purposes it is necessary to obtain the highest possible

magnetic permeability corresponding to a high, or the highest attainable

flux density. This is generally the case in the electromagnets which are

employed as the field magnets in dynamo machines. It may generally be

said that whilst the best wrought iron, such as annealed Low Moor or

Swedish iron, is more permeable for low flux densities than steel

castings, the cast steel may surpass the wrought metal for high flux

density. For most electro-technical purposes the best magnetic results

are given by the employment of forged ingot-iron. This material is

probably the most permeable throughout the whole scale of attainable

flux densities. It is slightly superior to wrought iron, and it only

becomes inferior to the highest class of cast steel when the flux

density is pressed above 18,000 C.G.S. units (see fig. 5). For flux

densities above 13,000 the forged ingot-iron has now practically

replaced for electric engineering purposes the Low Moor or Swedish iron.

Owing to the method of its production, it might in truth be called a

soft steel with a very small percentage of combined carbon. The best

description of this material is conveyed by the German term

"Flusseisen," but its nearest British equivalent is "ingot-iron."

Chemically speaking, the material is for all practical purposes very

nearly pure iron. The same may be said of the cast steels now much

employed for the production of dynamo magnet cores. The cast steel which

is in demand for this purpose has a slightly lower permeability than the

ingot-iron for low flux densities, but for flux densities above 16,000

the required result may be more cheaply obtained with a steel casting

than with a forging. When high tensile strength is required in addition

to considerable magnetic permeability, it has been found advantageous to

employ a steel containing 5% of nickel. The rolled sheet iron and sheet

steel which is in request for the construction of magnet cores,

especially those in which the exciting current is an alternating

current, are, generally speaking, produced from Swedish iron. Owing to

the mechanical treatment necessary to reduce the material to a thin

sheet, the permeability at low flux densities is rather higher than,

although at high flux densities it is inferior to, the same iron and

steel when tested in bulk. For most purposes, however, where a laminated

iron magnet core is required, the flux density is not pressed up above

6000 units, and it is then more important to secure small hysteresis

loss than high permeability. The magnetic permeability of cast iron is

much inferior to that of wrought or ingot-iron, or the mild steels taken

at the same flux densities.

The following Table IV. gives the flux density and permeability of a

typical cast iron taken by J.A. Fleming by the ballistic method:--

TABLE IV.--_Magnetic Permeability and Magnetization Curve of Cast

Iron._

+------+------+-----++-------+------+-----++--------+--------+-----+

| H | B | [mu]|| H | B | [mu]|| H | B | [mu]|

| .19 | 27 | 139 || 8.84 | 4030 | 456 || 44.65 | 8,071 | 181 |

| .41 | 62 | 150 || 10.60 | 4491 | 424 || 56.57 | 8,548 | 151 |

| 1.11 | 206 | 176 || 12.33 | 4884 | 396 || 71.98 | 9,097 | 126 |

| 2.53 | 768 | 303 || 13.95 | 5276 | 378 || 88.99 | 9,600 | 108 |

| 3.41 | 1251 | 367 || 15.61 | 5504 | 353 || 106.35 | 10,066 | 95 |

| 4.45 | 1898 | 427 || 18.21 | 5829 | 320 || 120.60 | 10,375 | 86 |

| 5.67 | 2589 | 456 || 26.37 | 6814 | 258 || 140.37 | 10,725 | 76 |

| 7.16 | 3350 | 468 || 36.54 | 7580 | 207 || 152.73 | 10,985 | 72 |

+------+------+-----++-------+------+-----++--------+--------+-----+

The metal of which the tests are given in Table IV. contained 2% of

silicon, 2.85% of total carbon, and 0.5% of manganese. It will be seen

that a magnetizing force of about 5 C.G.S. units is sufficient to impart

to a wrought-iron ring a flux density of 18,000 C.G.S. units, but the

same force hardly produces more than one-tenth of this flux density in

cast iron.

The testing of sheet iron and steel for magnetic hysteresis loss has

developed into an important factory process, giving as it does a means

of ascertaining the suitability of the metal for use in the manufacture

of transformers and cores of alternating-current electromagnets.

In Table V. are given the results of hysteresis tests by Ewing on

samples of commercial sheet iron and steel. The numbers VII., VIII., IX.

and X. refer to the same samples as those for which permeability results

are given in Table III.

Encyclopaedia Britannica, 11th Edition, "Ehud" to "Electroscope" Volume 9, Slice 2 · 第 35 / 43 题