FOOTNOTES:

[1] _Experimental Researches in Electricity_, series ii. Sec. 6, pars.

256, 259-260, and series xxviii. Sec. 34.

[2] _Ibid._ series i. Sec. 4, pars. 84-90.

[3] "On the Physical Lines of Magnetic Force," _Phil. Mag._, June

1852.

[4] Faraday, _Exp. Res._ series xxviii. Sec. 34, pars. 3104, 3114-3115.

[5] _Id._, ib. series i. Sec. 4, pars. 114-119.

[6] _Id._, ib. series ii. Sec. 6, pars. 211, 213; series xxviii. Sec. 34,

par. 3152.

[7] Invented by Nikola Tesla (_Elec. Eng._ vol. xiii. p. 83. Cf.

Brit. Pat. Spec. Nos. 2801 and 2812, 1894). Several early inventors,

e.g. Salvatore dal Negro in 1832 (_Phil. Mag._ third series, vol. i.

p. 45), adopted reciprocating or oscillatory motion, and this was

again tried by Edison in 1878.

[8] The advantage to be obtained by making the poles closely embrace

the armature core was first realized by Dr Werner von Siemens in his

"shuttle-wound" armature (Brit. Pat. No. 2107, 1856).

[9] _Nuovo Cimento_ (1865), 19, 378.

[10] Brit. Pat. No. 1668 (1870); _Comptes rendus_ (1871), 73, 175.

[11] _Ann. Chim. Phys._ l. 322.

[12] Ibid. li. 76. Since in H. Pixii's machine the armature was

stationary, while both magnet and commutator rotated, four brushes

were used, and the arrangement was not so simple as the split-ring

described above, although the result was the same. J. Saxton's

machine (1833) and E.M. Clarke's machine (1835, see Sturgeon's

_Annals of Electricity_, i. 145) were similar to one another in that

a unidirected current was obtained by utilizing every alternate

half-wave of E.M.F., but the former still employed mercury collecting

cups, while the latter employed metal brushes. W. Sturgeon in 1835

followed Pixii in utilizing the entire wave of E.M.F., and abandoned

the mercury cups in favour of metal brushes pressing on four

semicircular disks (_Scientific Researches_, p. 252). The simple

split-ring is described by Sir C. Wheatstone and Sir W.F. Cooke in

their Patent No. 8345 (1840).

[13] By the "leading" side of the tooth or of an armature coil or

sector is to be understood that side which first enters under a pole

after passing through the interpolar gap, and the edge of the pole

under which it enters is here termed the "leading" edge as opposed to

the "trailing" edge or corner from under which a tooth or coil

emerges into the gap between the poles; cf. fig. 30, where the

leading and trailing pole-corners are marked ll and tt.

[14] Such was the arrangement of Wheatstone's machine (Brit. Pat. No.

9022) of 1841, which was the first to give a more nearly "continuous"

current, the number of sections and split-rings being five.

[15] Its development from the split-ring was due to Pacinotti and

Gramme (Brit. Pat. No. 1668, 1870) in connexion with their ring

armatures.

[16] And extended by G. Kapp, "On Modern Continuous-Current

Dynamo-Electric Machines," _Proc. Inst. C.E._ vol. lxxxiii. p. 136.

[17] Drs J. and E. Hopkinson, "Dynamo-Electric Machinery," Phil.

Trans., May 6, 1886; this was further expanded in a second paper on

"Dynamo-Electric Machinery," _Proc. Roy. Soc._, Feb. 15, 1892, and

both are reprinted in _Original Papers on Dynamo-Machinery and Allied

Subjects_.

[18] _Exp. Res._, series i. Sec. 4, par. 111. In 1845 Wheatstone and

Cooke patented the use of "voltaic" magnets in place of permanent

magnets (No. 10,655).

[19] Between Moutiers and Lyons, a distance of 115 m., energy is

transmitted on the Thury direct-current system at a maximum pressure

of 60,000 volts. Four groups of machines in series are employed, each

group consisting of four machines in series; the rated output of each

component machine is 75 amperes at 3900 volts or 400 h.p. A water

turbine drives two pairs of such machines through an insulating

coupling, and the sub-base of each pair of machines is separately

insulated from earth, the foundation being also of special insulating

materials.

[20] For experiments on high-frequency currents, Nikola Tesla

constructed an alternator having 384 poles and giving a frequency of

about 10,000 (_Journ. Inst. Elec. Eng._ 1892, 21, p. 82). The

opposite extreme is found in alternators directly coupled to the

Parsons steam-turbine, in which, with a speed of 3000 revs. per min.,

only two poles are required to give a frequency of 50. By a

combination of a Parsons steam-turbine running at 12,000 revs. per

min. with an alternator of 140 poles a frequency of 14,000 has been

obtained (_Engineering_, 25th of August 1899). For description of an

experimental machine for 10,000 cycles per second when running at

3000 revs. per min., see _Trans. Amer. Inst. Elect. Eng._ vol. xxiii.

p. 417.

[21] As in the historical transmission of energy from Lauffen to

Frankfort (1891).

[22] In the pioneer three-phase transmission between Laufen and

Frankfort (_Electrician_, vol. xxvi. p. 637, and xxvii. p. 548), the

three-phase current was transformed up from about 55 to 8500 volts,

the distance being 110 m. A large number of installations driven by

water power are now at work, in which energy is transmitted on the

alternating-current system over distances of about 100 m. at

pressures ranging from 20,000 to 67,000 volts.

DYNAMOMETER (Gr. [Greek: dynamis], strength, and [Greek: metron], a

measure), an instrument for measuring force exerted by men, animals and

machines. The name has been applied generally to all kinds of

instruments used in the measurement of a force, as for example electric

dynamometers, but the term specially denotes apparatus used in connexion

with the measurement of work, or in the measurement of the horse-power

of engines and motors. If P represent the average value of the component

of a force in the direction of the displacement, s, of its point of

application, the product Ps measures the work done during the

displacement. When the force acts on a body free to turn about a fixed

axis only, it is convenient to express the work done by the transformed

product T[theta], where T is the average turning moment or torque acting

to produce the displacement [theta] radians. The apparatus used to

measure P or T is the dynamometer. The factors s or [theta] are observed

independently. Apparatus is added to some dynamometers by means of which

a curve showing the variations of P on a distance base is drawn

automatically, the area of the diagram representing the work done; with

others, integrating apparatus is combined, from which the work done

during a given interval may be read off directly. It is convenient to

distinguish between absorption and transmission dynamometers. In the

first kind the work done is converted into heat; in the second it is

transmitted, after measurement, for use.

_Absorption Dynamometers._--Baron Prony's dynamometer (_Ann. Chim.

Phys._ 1821, vol. 19), which has been modified in various ways,

consists in its original form of two symmetrically shaped timber beams

clamped to the engine-shaft. When these are held from turning, their

frictional resistance may be adjusted by means of nuts on the screwed

bolts which hold them together until the shaft revolves at a given

speed. To promote smoothness of action, the rubbing surfaces are

lubricated. A weight is moved along the arm of one of the beams until

it just keeps the brake steady midway between the stops which must be

provided to hold it when the weight fails to do so. The general theory

of this kind of brake is as follows:-Let F be the whole frictional

resistance, r the common radius of the rubbing surfaces, W the force

which holds the brake from turning and whose line of action is at a

perpendicular distance R from the axis of the shaft, N the revolutions

of the shaft per minute, [omega] its angular velocity in radians per

second; then, assuming that the adjustments are made so that the

engine runs steadily at a uniform speed, and that the brake is held

still, clear of the stops and without oscillation, by W, the torque T

exerted by the engine is equal to the frictional torque Fr acting at

the brake surfaces, and this is measured by the statical moment of the

weight W about the axis of revolution; that is--

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