CHAPTER X

ELECTROMAGNETS AND INDUCTIVE COILS

Electromagnet. The physical thing which we call an electromagnet,

consisting of a coil or helix of wire, the turns of which are

insulated from each other, and within which is usually included an

iron core, is by far the most useful of all the so-called translating

devices employed in telephony. In performing the ordinary functions of

an electromagnet it translates the energy of an electrical current

into the energy of mechanical motion. An almost equally important

function is the converse of this, that is, the translation of the

energy of mechanical motion into that of an electrical current. In

addition to these primary functions which underlie the art of

telephony, the electromagnetic coil or helix serves a wide field of

usefulness in cases where no mechanical motion is involved. As

impedance coils, they serve to exert important influences on the flow

of currents in circuits, and as induction coils, they serve to

translate the energy of a current flowing in one circuit into the

energy of a current flowing in another circuit, the translation

usually, but not always, being accompanied by a change in voltage.

When a current flows through the convolutions of an ordinary helix,

the helix will exhibit the properties of a magnet even though the

substance forming the core of the helix is of non-magnetic material,

such as air, or wood, or brass. If, however, a mass of iron, such as a

rod or a bundle of soft iron wires, for instance, is substituted as a

core, the magnetic properties will be enormously increased. The reason

for this is, that a given magnetizing force will set up in iron a

vastly greater number of lines of magnetic force than in air or in any

other non-magnetic material.

Magnetizing Force. The magnetizing force of a given helix is that

force which tends to drive magnetic lines of force through the

magnetic circuit interlinked with the helix. It is called

_magnetomotive force_ and is analogous to electromotive force, that

is, the force which tends to drive an electric current through a

circuit.

The magnetizing force of a given helix depends on the product of the

current strength and the number of turns of wire in the helix. Thus,

when the current strength is measured in amperes, this magnetizing

force is expressed as ampere-turns, being the product of the number of

amperes flowing by the number of turns. The magnetizing force exerted

by a given current, therefore, is independent of anything except the

number of turns, and the material within the core or the shape of the

core has no effect upon it.

Magnetic Flux. The total magnetization resulting from a magnetizing

force is called the magnetic flux, and is analogous to current. The

intensity of a magnetic flux is expressed by the number of magnetic

lines of force in a square centimeter or square inch.

While the magnetomotive force or magnetizing force of a given helix is

independent of the material of the core, the flux which it sets up is

largely dependent on the material and shape of the core--not only upon

this but on the material that lies in the return path for the flux

outside of the core. We may say, therefore, that the amount of flux

set up by a given current in a given coil or helix is dependent on the

material in the magnetic path or magnetic circuit, and on the shape

and length of that circuit. If the magnetic circuit be of air or brass

or wood or any other non-magnetic material, the amount of flux set up

by a given magnetizing force will be relatively small, while it will

be very much greater if the magnetic circuit be composed in part or

wholly of iron or steel, which are highly magnetic substances.

Permeability. The quality of material, which permits of a given

magnetizing force setting up a greater or less number of lines of

force within it, is called its permeability. More accurately, the

permeability is the ratio existing between the amount of magnetization

and the magnetizing force which produces such magnetization.

The permeability of a substance is usually represented by the Greek

letter µ (pronounced _mu_). The intensity of the magnetizing force

is commonly symbolized by H, and since the permeability of air is

always taken as unity, we may express the intensity of magnetizing

force by the number of lines of force per square centimeter which it

sets up in air.

Now, if the space on which the given magnetizing force H were acting

were filled with iron instead of air, then, owing to the greater

permeability of iron, there would be set up a very much greater number

of lines of force per square centimeter, and this number of lines of

force per square centimeter in the iron is the measure of the

magnetization produced and is commonly expressed by the letter =B=.

From this we have

µ = B/H

Thus, when we say that the permeability of a given specimen of wrought

iron under given conditions is 2,000, we mean that 2,000 times as many

lines of force would be induced in a unit cross-section of this sample

as would be induced by the same magnetizing force in a corresponding

unit cross-section of air. Evidently for air B = H, hence µ becomes

unity.

The permeability of air is always a constant. This means that whether

the magnetic density of the lines of force through the air be great or

small the number of lines will always be proportional to the

magnetizing force. Unfortunately for easy calculations in

electromagnetic work, however, this is not true of the permeability of

iron. For small magnetic densities the permeability is very great, but

for large densities, that is, under conditions where the number of

lines of force existing in the iron is great, the permeability becomes

smaller, and an increase in the magnetizing force does not produce a

corresponding increase in the total flux through the iron.

Magnetization Curves. This quality of iron is best shown by the curves

of Fig. 89, which illustrate the degree of magnetization set up in

various kinds of iron by different magnetizing forces. In these curves

the ordinates represent the total magnetization =B=, while the abscissas

represent the magnetizing force =H=. It is seen from an inspection of

these curves that as the magnetizing force =H= increases, the intensity

of flux also increases, but at a gradually lessening rate, indicating a

reduction in permeability at the higher densities. These curves are also

instructive as showing the great differences that exist between the

permeability of the different kinds of iron; and also as showing how,

when the magnetizing force becomes very great, the iron approaches what

is called _saturation_, that is, a point at which the further increase

in magnetizing force will result in no further magnetization of the

core.

From the data of the curves of Fig. 89, which are commonly called

_magnetization curves_, it is easy to determine other data from which

so-called permeability curves may be plotted. In permeability curves

the total magnetization of the given pieces of iron are plotted as

abscissas, while the corresponding permeabilities are plotted as

ordinates.

[Illustration: Fig. 89. Magnetization Curve]

Direction of Lines of Force. The lines of force set up within the

core of a helix always have a certain direction. This direction always

depends upon the direction of the flow of current around the core. An

easy way to remember the direction is to consider the helix as grasped

in the right hand with the fingers partially encircling it and the

thumb pointing along its axis. Then, if the current through the

convolutions of the helix be in the direction in which the fingers of

the hand are pointed around the helix, the magnetic lines of force

will proceed through the core of the helix along the direction in

which the thumb is pointed.

In the case of a simple bar electromagnet, such as is shown in Fig.

90, the lines of force emerging from one end of the bar must pass back

through the air to the other end of the bar, as indicated by dotted

lines and arrows. The path followed by the magnetic lines of force is

called the _magnetic circuit_, and, therefore, the magnetic circuit of

the magnet shown in Fig. 90 is composed partly of iron and partly of

air. From what has been said concerning the relative permeability of

air and of iron, it will be obvious that the presence of such a long

air path in the magnetic circuit will greatly reduce the number of

lines of force that a given magnetizing force can set up. The presence

of an air gap in a magnetic circuit has much the same effect on the

total flow of lines of force as the presence of a piece of bad

conductor in a circuit composed otherwise of good conductor, in the

case of the flow of electric current.

Reluctance. As the property which opposes the flow of electric

current in an electrical circuit is called _resistance_, so the

property which opposes the flow of magnetic lines of force in a

magnetic circuit is called _reluctance_. In the case of the electric

circuit, the resistance is the reciprocal of the conductivity; in the

case of the magnetic circuit, the reluctance is the reciprocal of the

permeability. As in the case of an electrical circuit, the amount of

flow of current is equal to the electromotive force divided by the

resistance; so in a magnetic circuit, the magnetic flux is equal to

the magnetizing force or magnetomotive force divided by the

reluctance.

[Illustration: Fig. 90. Bar Electromagnet]

Types of Low-Reluctance Circuits. As the pull of an electromagnet

upon its armature depends on the total number of lines of force

passing from the core to the armature--that is, on the total flux--and

as the total flux depends for a given magnetizing force on the

reluctance of the magnetic circuit, it is obvious that the design of

the electromagnetic circuit is of great importance in influencing the

action of the magnet. Obviously, anything that will reduce the amount

of air or other non-magnetic material that is in the magnetic circuit

will tend to reduce the reluctance, and, therefore, to increase the

total magnetization resulting from a given magnetizing force.

_Horseshoe Form._ One of the easiest and most common ways of reducing

reluctance in a circuit is to bend the ordinary bar electromagnet

into horseshoe form. In order to make clear the direction of current

flow, attention is called to Fig. 91. This is intended to represent a

simple bar of iron with a winding of one direction throughout its

length. The gap in the middle of the bar, which divides the winding

into two parts, is intended merely to mark the fact that the winding

need not cover the whole length of the bar and still will be able to

magnetize the bar when the current passes through it. In Fig. 92 a

similar bar is shown with similar winding upon it, but bent into

=U=-form, exactly as if it had been grasped in the hand and bent

without further change. The magnetic polarity of the two ends of the

bar remain the same as before for the same direction of current, and

it is obvious that the portion of the magnetic circuit which extends

through air has been very greatly shortened by the bending. As a

result, the magnetic reluctance of the circuit has been greatly

decreased and the strength of the magnet correspondingly increased.

[Illustration: Fig. 91. Bar Electromagnet]

[Illustration: Fig. 92. Horseshoe Electromagnet]

[Illustration: Fig. 93. Horseshoe Electromagnet]

If the armature of the electromagnet shown in Fig. 92 is long enough

to extend entirely across the air gap from the south to the north

pole, then the air gap in the magnetic circuit is still further

shortened, and is now represented only by the small gap between the

ends of the armature and the ends of the core. Such a magnet, with an

armature closely approaching the poles, is called a _closed-circuit

magnet_, since the only gap in the iron of the magnetic circuit is

that across which the magnet pulls in attracting its armature.

In Fig. 93 is shown the electrical and magnetic counterpart of Fig.

92. The fact that the magnetic circuit is not a single iron bar but is

made up of two cores and one backpiece rigidly secured together, has

no bearing upon the principle, but only shows that a modification of

construction is possible. In the construction of Fig. 93 the armature

_1_ is shown as being pulled directly against the two cores _2_ and

_3_, these two cores being joined by a yoke _4_, which, like the

armature and the core, is of magnetic material. The path of the lines

of force is indicated by dotted lines. This is a very important form

of electromagnet and is largely used in telephony.

_Iron-Clad Form_. Another way of forming a closed-circuit magnet that

is widely used in telephony is to enclose the helix or winding in a

shell of magnetic material which joins the core at one end. This

construction results in what is known as the _tubular_ or _iron-clad_

electromagnet, which is shown in section and in end view in Fig. 94.

In this the core _1_ is a straight bar of iron and it lies centrally

within a cylindrical shell _2_, also of iron. The bar is usually held

in place within the shell by a screw, as shown. The lines of force set

up in the core by the current flowing through the coil, pass to the

center of the bottom of the iron shell and thence return through the

metal of the shell, through the air gap between the edges of the shell

and the armature, and then concentrate at the center of the armature

and pass back to the end of the core. This is a highly efficient form

of closed-circuit magnet, since the magnetic circuit is of low

reluctance.

[Illustration: Fig. 94. Iron-Clad Electromagnet]

Such forms of magnets are frequently used where it is necessary to

mount a large number of them closely together and where it is desired

that the current flowing in one magnet shall produce no inductive

effect in the coils of the adjacent magnets. The reason why mutual

induction between adjacent magnets is obviated in the case of the

iron-clad or tubular magnet is that practically all stray field is

eliminated, since the return path for the magnetic lines is so

completely provided for by the presence of the iron shell.

_Special Horseshoe Form._ In Fig. 95 is shown a type of relay commonly

employed in telephone circuits. The purpose of illustrating it in this

chapter is not to discuss relays, but rather to show an adaptation of an

electromagnet wherein low reluctance of the magnetic circuit is secured

by providing a return leg for the magnetic lines developed in the core,

thus forming in effect a horseshoe magnet with a winding on one of its

limbs only. To the end of the core _1_ there is secured an =L=-shaped

piece of soft iron _2_. This extends upwardly and then forwardly

throughout the entire length of the magnet core. An =L=-shaped armature

_3_ rests on the front edge of the piece _2_ so that a slight rocking

motion will be permitted on the "knife-edge" bearing thus afforded. It

is seen from the dotted lines that the magnetic circuit is almost a

closed one. The only gap is that between the lower end of the armature

_3_ and the front end of the core. When the coil is energized, this gap

is closed by the attraction of the armature. As a result, the rearwardly

projecting end of the armature _3_ is raised and this raises the spring

_4_ and causes it to break the normally existing contact with the spring

_5_ and to establish another contact with the spring _6_. Thus the

energy developed within the coil of the magnet is made to move certain

parts which in turn operate the switching devices to produce changes in

electrical circuits. These relays and other adaptations of the

electromagnet will be discussed more fully later on.

[Illustration: Fig. 95. Electromagnet of Relay]

There are almost numberless forms of electromagnets, but we have

illustrated here examples of the principal types employed in

telephony, and the modifications of these types will be readily

understood in view of the general principles laid down.

Direction of Armature Motion. It may be said in general that the

armature of an electromagnet always moves or tends to move, when the

coil is energized, in such a way as to reduce the reluctance of the

magnetic circuit through the coil. Thus, in all of the forms of

electromagnets discussed, the armature, when attracted, moves in such a

direction as to shorten the air gap and to introduce the iron of the

armature as much as possible into the path of the magnetic lines, thus

reducing the reluctance. In the case of a solenoid type of

electromagnet, or the coil and plunger type, which is a better name than

solenoid, the coil, when energized, acts in effect to suck the iron core

or plunger within itself so as to include more and more of the iron

within the most densely occupied portion of the magnetic circuit.

[Illustration: Fig. 96. Parallel Differential Electromagnet]

Differential Electromagnet. Frequently in telephony, the

electromagnets are provided with more than one winding. One purpose of

the double-wound electromagnet is to produce the so-called

differential action between the two windings, _i.e._, making one of

the windings develop magnetization in the opposite direction from that

of the other, so that the two will neutralize each other, or at least

exert different and opposite influences. The principle of the

differential electromagnet may be illustrated in connection with Fig.

96. Here two wires _1_ and _2_ are shown wrapped in the same direction

about an iron core, the ends of the wire being joined together at _3_.

Obviously, if one of these windings only is employed and a current

sent through it, as by connecting the terminals of a battery with the

points _4_ and _3_, for instance, the core will be magnetized as in an

ordinary magnet. Likewise, the core will be energized if a current be

sent from _5_ to _3_. Assuming that the two windings are of equal

resistance and number of turns, the effects so produced, when either

the coil _1_ or the coil _2_ is energized, will be equal. If the

battery be connected between the terminals _4_ and _5_ with the

positive pole, say, at _5_, then the current will proceed through the

winding _2_ and tend to generate magnetism in the core in the

direction of the arrow. After traversing the winding _2_, however, it

will then begin to traverse the other winding _1_ and will pass around

the core in the opposite direction throughout the length of that

winding. This will tend to set up magnetism in the core in the

opposite direction to that indicated by the arrow. Since the two

currents are equal and also the number of turns in each winding, it is

obvious that the two magnetizing influences will be exactly equal and

opposite and no magnetic effect will be produced. Such a winding, as

is shown in Fig. 96, where the two wires are laid on side by side, is

called a _parallel differential winding_.

Another way of winding magnets differentially is to put one winding on

one end of the core and the other winding on the other end of the core

and connect these so as to cause the currents through them to flow

around the core in opposite directions. Such a construction is shown

in Fig. 97 and is called a _tandem differential winding_. The tandem

arrangement, while often good enough for practical purposes, cannot

result in the complete neutralization of magnetic effect. This is true

because of the leakage of some of the lines of force from intermediate

points in the length of the core through the air, resulting in some of

the lines passing through more of the turns of one coil than of the

other. Complete neutralization can only be attained by first twisting

the two wires together with a uniform lay and then winding them

simultaneously on the core.

[Illustration: Fig. 97. Tandem Differential Electromagnet]

Mechanical Details. We will now consider the actual mechanical

construction of the electromagnet. This is a very important feature of

telephone work, because, not only must the proper electrical and

magnetic effects be produced, but also the whole structure of the

magnet must be such that it will not easily get out of order and not

be affected by moisture, heat, careless handling, or other adverse

conditions.

The most usual form of magnet construction employed in telephony is

shown in Fig. 98. On the core, which is of soft Norway iron, usually

cylindrical in form, are forced two washers of either fiber or hard

rubber. Fiber is ordinarily to be preferred because it is tougher and

less liable to breakage. Around the core, between the two heads, are

then wrapped several layers of paper or specially prepared cloth in

order that the wire forming the winding may be thoroughly insulated

from the core. One end of the wire is then passed through a hole in

one of the spool heads or washers, near the core, and the wire is then

wound on in layers. Sometimes a thickness of paper is placed around

each layer of wire in order to further guard against the breaking down

of the insulation between layers. When the last layer is wound on, the

end of the wire is passed out through a hole in the head, thus leaving

both ends projecting.

[Illustration: Fig. 98 Construction of Electromagnet]

Magnet Wire. The wire used in winding magnets is, of course, an

important part of the electromagnet. It is always necessary that the

adjacent turns of the wire be insulated from each other so that the

current shall be forced to pass around the core through all the length

of wire in each turn rather than allowing it to take the shorter and

easier path from one turn to the next, as would be the case if the

turns were not insulated. For this purpose the wire is usually covered

with a coating of some insulating material. There are, however,

methods of winding magnet coils with bare wire and taking care of the

insulation between the turns in another way, as will be pointed out.

Insulated wire for the purpose of winding magnet coils is termed

_magnet wire_. Copper is the material almost universally employed for

the conductor. Its high conductivity, great ductility, and low cost

are the factors which make it superior to all other metals. However,

in special cases, where exceedingly high conductivity is required with

a limited winding space, silver wire is sometimes employed, and on the

other hand, where very high resistance is desired within a limited

winding space, either iron or German silver or some other

high-resistance alloy is used.

_Wire Gauges_. Wire for electrical purposes is drawn to a number of

different standard gauges. Each of the so-called wire gauges consists

of a series of graded sizes of wire, ranging from approximately

one-half an inch in diameter down to about the fineness of a lady's

hair. In certain branches of telephone work, such as line

construction, the existence of the several wire gauges or standards is

very likely to lead to confusion. Fortunately, however, so far as

magnet wire is concerned, the so-called Brown and Sharpe, or American,

wire gauge is almost universally employed in this country. The

abbreviations for this gauge are B.&S. or A.W.G.

TABLE III

Copper Wire Table

Giving weights, lengths, and resistances of wire @ 68° F., of Matthiessen's

Standard Conductivity.

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

| | | | RESISTANCE | LENGTH | WEIGHT |

| A.W.G.| DIAMETER | AREA +-----------------------+--------------------+-----------------------+

| B.&S. | MILS | CIRCULAR | OHMS PER | OHMS PER | FEET PER | FEET PER| POUNDS PER |POUNDS PER|

| | | MILS | POUND | FOOT | POUND | OHM | FOOT | OHM |

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

| 0000 | 460. | 211,600. |0.00007639 | 0.0000489 | 1.561 | 20,440. | 0.6405 | 13,090. |

| 000 | 409.6 | 167,800. |0.0001215 | 0.0000617 | 1.969 | 16,210. | 0.5080 | 8,232. |

| 00 | 364.8 | 133,100. |0.0001931 | 0.0000778 | 2.482 | 12,850. | 0.4028 | 5,177. |

| 0 | 324.9 | 105,500. |0.0003071 | 0.0000981 | 3.130 | 10,190. | 0.3195 | 3,256. |

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

| 1 | 289.3 | 83,690. | 0.0004883 | 0.0001237 | 3.947 | 8,083. | 0.2533 | 2,048. |

| 2 | 257.6 | 66,370. | 0.0007765 | 0.0001560 | 4.977 | 6,410. | 0.2009 | 1,288. |

| 3 | 229.4 | 52,630. | 0.001235 | 0.0001967 | 6.276 | 5,084. | 0.1593 | 810.0 |

| 4 | 204.3 | 41,740. | 0.001963 | 0.0002480 | 7.914 | 4,031. | 0.1264 | 509.4 |

| 5 | 181.9 | 33,100. | 0.003122 | 0.0003128 | 9.980 | 3,197. | 0.1002 | 320.4 |

| 6 | 162.0 | 26,250. | 0.004963 | 0.0003944 | 12.58 | 2,535. | 0.07946 | 201.5 |

| 7 | 144.3 | 20,820. | 0.007892 | 0.0004973 | 15.87 | 2,011. | 0.06302 | 126.7 |

| 8 | 128.5 | 16,510. | 0.01255 | 0.0006271 | 20.01 | 1,595. | 0.04998 | 79.69 |

| 9 | 114.4 | 13,090. | 0.01995 | 0.0007908 | 25.23 | 1,265. | 0.03963 | 50.12 |

| 10 | 101.9 | 10,380. | 0.03173 | 0.0009273 | 31.82 | 1,003. | 0.03143 | 31.52 |

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

| 11 | 90.74 | 8,234. | 0.05045 | 0.001257 | 40.12 | 795.3 | 0.02493 | 19.82 |

| 12 | 80.81 | 6,530. | 0.08022 | 0.001586 | 50.59 | 630.7 | 0.01977 | 12.47 |

| 13 | 71.96 | 5,178. | 0.1276 | 0.001999 | 63.79 | 500.1 | 0.01568 | 7.840 |

| 14 | 64.08 | 4,107. | 0.2028 | 0.002521 | 80.44 | 396.6 | 0.01243 | 4.931 |

| 15 | 57.07 | 3,257. | 0.3225 | 0.003179 | 101.4 | 314.5 | 0.009858 | 3.101 |

| 16 | 50.82 | 2,583. | 0.5128 | 0.004009 | 127.9 | 249.4 | 0.007818 | 1.950 |

| 17 | 45.26 | 2,048. | 0.8153 | 0.005055 | 161.3 | 197.8 | 0.006200 | 1.226 |

| 18 | 40.30 | 1,624. | 1.296 | 0.006374 | 203.4 | 156.9 | 0.004917 | 0.7713 |

| 19 | 35.89 | 1,288. | 2.061 | 0.008038 | 256.5 | 124.4 | 0.003899 | 0.4851 |

| 20 | 31.96 | 1,022. | 3.278 | 0.01014 | 323.4 | 98.66 | 0.003092 | 0.3051 |

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

| 21 | 28.46 | 810.1 | 5.212 | 0.01278 | 407.8 | 78.24 | 0.002452 | 0.1919 |

| 22 | 25.35 | 642.4 | 8.287 | 0.01612 | 514.2 | 62.05 | 0.001945 | 0.1207 |

| 23 | 22.57 | 509.5 | 13.18 | 0.02032 | 648.4 | 49.21 | 0.001542 | 0.07589 |

| 24 | 20.10 | 404.0 | 20.95 | 0.02563 | 817.6 | 39.02 | 0.001223 | 0.04773 |

| 25 | 17.90 | 320.4 | 33.32 | 0.03231 | 1,031. | 30.95 | 0.0009699 | 0.03002 |

| 26 | 15.94 | 254.1 | 52.97 | 0.04075 | 1,300. | 24.54 | 0.0007692 | 0.1187 |

| 27 | 14.2 | 201.5 | 84.23 | 0.05138 | 1,639. | 19.46 | 0.0006100 | 0.01888 |

| 28 | 12.64 | 159.8 | 133.9 | 0.06479 | 2,067. | 15.43 | 0.0004837 | 0.007466 |

| 29 | 11.26 | 126.7 | 213.0 | 0.08170 | 2,607. | 12.24 | 0.0003836 | 0.004696 |

| 30 | 10.03 | 100.5 | 338.6 | 0.1030 | 3,287. | 9.707 | 0.0003042 | 0.002953 |

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

| 31 | 8.928 | 79.70 | 538.4 | 0.1299 | 4,145. | 7.698 | 0.0002413 |0.001857 |

| 32 | 7.950 | 63.21 | 856.2 | 0.1638 | 5,227. | 6.105 | 0.0001913 |0.001168 |

| 33 | 7.080 | 50.13 | 1,361. | 0.2066 | 6,591. | 4.841 | 0.0001517 |0.0007346 |

| 34 | 6.305 | 39.75 | 2,165. | 0.2605 | 8,311. | 3.839 | 0.0001203 |0.0004620 |

| 35 | 5.615 | 31.52 | 3,441. | 0.3284 | 10,480. | 3.045 | 0.00009543 |0.0002905 |

| 36 | 5.0 | 25.0 | 5,473. | 0.4142 | 13,210. | 2.414 | 0.00007568 |0.0001827 |

| 37 | 4.453 | 19.83 | 8,702. | 0.5222 | 16,660. | 1.915 | 0.00006001 |0.0001149 |

| 38 | 3.965 | 15.72 | 13,870. | 0.6585 | 21,010. | 1.519 | 0.00004759 |0.00007210|

| 39 | 3.531 | 12.47 | 22,000. | 0.8304 | 26,500. | 1.204 | 0.00003774 |0.00004545|

| 40 | 3.145 | 9.888 | 34,980. | 1.047 | 33,410. | 0.9550 | 0.00002993 |0.00002858|

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

[Illustration: SOUTH OFFICE OF HOME TELEPHONE COMPANY, SAN FRANCISCO]

In the Brown and Sharpe gauge the sizes, beginning with the largest,

are numbered 0000, 000, 00, 0, 1, 2, and so on up to 40. Sizes larger

than about No. 16 B.&S. gauge are seldom used as magnet wire in

telephony, but for the purpose of making the list complete, Table III

is given, including all of the sizes of the B.&S. gauge.

In Table III there is given for each gauge number the diameter of the

wire in mils (thousandths of an inch); the cross-sectional area in

circular mils (a unit area equal to that of a circle having a diameter

of one one-thousandth of an inch); the resistance of the wire in

various units of length and weight; the length of the wire in terms of

resistance and of weight; and the weight of the wire in terms of its

length and resistance.

It is to be understood that in Table III the wire referred to is bare

wire and is of pure copper. It is not commercially practicable to use

absolutely pure copper, and the ordinary magnet wire has a

conductivity equal to about 98 per cent of that of pure copper. The

figures given in this table are sufficiently accurate for all ordinary

practical purposes.

_Silk and Cotton Insulation_. The insulating material usually employed

for covering magnet wire is of silk or cotton. Of these, silk is by

far the better material for all ordinary purposes, since it has a much

higher insulating property than cotton, and is very much thinner.

Cotton, however, is largely employed, particularly in the larger sizes

of magnet wire. Both of these materials possess the disadvantage of

being hygroscopic, that is, of readily absorbing moisture. This

disadvantage is overcome in many cases by saturating the coil after it

is wound in some melted insulating compound, such as wax or varnish or

asphaltum, which will solidify on cooling. Where the coils are to be

so saturated the best practice is to place them in a vacuum chamber

and exhaust the air, after which the hot insulating compound is

admitted and is thus drawn into the innermost recesses of the winding

space.

Silk-insulated wire, as regularly produced, has either one or two

layers of silk. This is referred to commercially as single silk wire

or as double silk wire. The single silk has a single layer of silk

fibers wrapped about it, while the double silk has a double layer, the

two layers being put on in reverse direction. The same holds true of

cotton insulated wire. Frequently, also, there is a combination of the

two, consisting of a single or a double wrapping of silk next to the

wire with an outer wrapping of cotton. Where this is done the cotton

serves principally as a mechanical protection for the silk, the

principal insulating properties residing in the silk.

_Enamel_. A later development in the insulation of magnet wire has

resulted in the so-called enamel wire. In this, instead of coating the

wire with some fibrous material such as silk or cotton, the wire is

heated and run through a bath of fluid insulating material or liquid

enamel, which adheres to the wire in a very thin coating. The wire is

then run through baking ovens, so that the enamel is baked on. This

process is repeated several times so that a number of these thin

layers of the enamel are laid on and baked in succession.

The characteristics sought in good enamel insulation for magnet wire

may be thus briefly set forth: It is desirable for the insulation to

possess the highest insulating qualities; to have a glossy, flawless

surface; to be hard without being brittle; to adhere tenaciously and

stand all reasonable handling without cracking or flaking; to have a

coefficient of elasticity greater than the wire itself; to withstand

high temperatures; to be moisture-proof and inert to corrosive

agencies; and not to "dry out" or become brittle over a long period of

time.

_Space Utilization_. The utilization of the winding space in an

electromagnet is an important factor in design, since obviously the

copper or other conductor is the only part of the winding that is

effective in setting up magnetizing force. The space occupied by the

insulation is, in this sense, waste space. An ideally perfect winding

may be conceived as one in which the space is all occupied by wire;

and this would necessarily involve the conception of wire of square

cross-section and insulation of infinite thinness. In such a winding

there would be no waste of space and a maximum amount of metal

employed as a conductor. Of course, such a condition is not possible

to attain and in practice some insulating material must be introduced

between the layers of wire and between the adjacent convolutions of

wire. The ratio of the space occupied by the conductor to the total

space occupied by the winding, that is, by the conductor and the

insulation, is called the _coefficient of space utilization of the

coil_. For the ideal coil just conceived the coefficient of space

utilization would be 1. Ordinarily the coefficient of space

utilization is greater for coarse wire than for fine wire, since

obviously the ratio of the diameter of the wire to the thickness of

the insulation increases as the size of the wire grows larger.

The chief advantage of enamel insulation for magnet wire is its

thinness, and the high coefficient of space utilization which may be

secured by its use. In good enamel wire the insulation will average

about one-quarter the thickness of the standard single silk

insulation, and the dielectric strength is equal or greater. Where

economy of winding space is desirable the advantages of this may

readily be seen. For instance, in a given coil wound with No. 36

single silk wire about one-half of the winding space is taken up with

the insulation, whereas when the same coil is wound with No. 36

enameled wire only about one-fifth of the winding space is taken up by

the insulation. Thus the coefficient of space utilization is increased

from .50 to .80. The practical result of this is that, in the case of

any given winding space where No. 36 wire is used, about 60 per cent

more turns can be put on with enameled wire than with single silk

insulation, and of course this ratio greatly increases when the

comparison is made with double silk insulation or with cotton

insulation. Again, where it is desired to reduce the winding space and

keep the same number of turns, an equal number of turns may be had

with a corresponding reduction of winding space where enameled wire is

used in place of silk or cotton.

In the matter of heat-resisting properties the enameled wire possesses

a great advantage over silk and cotton. Cotton or silk insulation will

char at about 260° Fahrenheit, while good enameled wire will stand

400° to 500° Fahrenheit without deterioration of the insulation. It is

in the matter of liability to injury in rough or careless handling, or

in winding coils having irregular shapes, that enamel wire is

decidedly inferior to silk or cotton-covered wire. It is likely to be

damaged if it is allowed to strike against the sharp corners of the

magnet spool during winding, or run over the edge of a hard surface

while it is being fed on to the spool. Coils having other than round

cores, or having sharp corners on their spool heads, should not

ordinarily be wound with enamel wire.

The dielectric strength of enamel insulation is much greater than that

of either silk or cotton insulation of equal thickness. This is a

distinct advantage and frequently a combination of the two kinds of

insulation results in a superior wire. If wire insulated with enamel

is given a single wrapping of silk or of cotton, the insulating and

dielectric properties of the enamel is secured, while the presence of

the silk and cotton affords not only an additional safeguard against

bare spots in the enamel but also a certain degree of mechanical

protection to the enamel.

Winding Methods. In winding a coil, the spool, after being properly

prepared, is placed upon a spindle which may be made to revolve rapidly.

Ordinarily the wire is guided on by hand; sometimes, however, machinery

is used, the wire being run over a tool which moves to and fro along the

length of the spool, just fast enough to lay the wire on at the proper

rate. The movement of this tool is much the same as that of the tool in

a screw cutting lathe.

Unless high voltages are to be encountered, it is ordinarily not

necessary to separate the layers of wire with paper, in the case of

silk-or cotton-insulated magnet wire; although where especially high

insulation resistance is needed this is often done. It is necessary to

separate the successive layers of a magnet that is wound with enamel

wire, by sheets of paper or thin oiled cloth.

[Illustration: Fig. 99. Electromagnet with Bare Wire]

In Fig. 99 is shown a method, that has been used with some success, of

winding magnets with bare wire. In this the various adjacent turns are

separated from each other by a fine thread of silk or cotton wound on

beside the wire. Each layer of wire and thread as it is placed on the

core is completely insulated from the subsequent layer by a layer of

paper. This is essentially a machine-wound coil, and machines for

winding it have been so perfected that several coils are wound

simultaneously, the paper being fed in automatically at the end of

each layer.

Another method of winding the bare wire omits the silk thread and

depends on the permanent positioning of the wire as it is placed on

the coil, due to the slight sinking into the layer of paper on which

it is wound. In this case the feed of the wire at each turn of the

spool is slightly greater than the diameter of the wire, so that a

small distance will be left between each pair of adjacent turns.

Upon the completion of the winding of a coil, regardless of what

method is used, it is customary to place a layer of bookbinders' cloth

over the coil so as to afford a certain mechanical protection for the

insulated wire.

_Winding Terminals_. The matter of bringing out the terminal ends of

the winding is one that has received a great deal of attention in the

construction of electromagnets and coils for various purposes. Where

the winding is of fine wire, it is always well to reinforce its ends

by a short piece of larger wire. Where this is done the larger wire is

given several turns around the body of the coil, so that the finer

wire with which it connects may be relieved of all strain which may be

exerted upon it from the protruding ends of the wire. Great care is

necessary in the bringing out of the inner terminal--_i.e._, the

terminal which connects with the inner layer--that the terminal wire

shall not come in contact with any of the subsequent layers that are

wound on.

[Illustration Fig. 100. Electromagnet with Terminals]

Where economy of space is necessary, a convenient method of

terminating the winding of the coil consists in fastening rigid

terminals to the spool head. This, in the case of a fiber spool head,

may be done by driving heavy metal terminals into the fiber. The

connections of the two wires leading from the winding are then made

with these heavy rigid terminals by means of solder. A coil having

such terminals is shown in its finished condition in Fig. 100.

_Winding Data_. The two things principally affecting the manufacture

of electromagnets for telephone purposes are _the number of turns in a

winding_ and _the resistance of the wound wire_. The latter governs

the amount of current which may flow through the coil with a given

difference of potential at its end, while the former control the

amount of magnetism produced in the core by the current flowing. While

a coil is being wound, it is a simple matter to count the turns by any

simple form of revolution counter. When the coil has been completed it

is a simple matter to measure its resistance. But it is not so simple

to determine in advance how many turns of a given size wire may be

placed on a given spool, and still less simple to know what the

resistance of the wire on that spool will be when the desired turns

shall have been wound.

TABLE IV

Winding Data for Insulated Wires--Silk and Cotton Covering

A.W.G. B & S | 20 21 22 23 24 25

---------------------------------------------------------------------

DIAMETER |

Mils | 31.961 28.462 25.347 22.571 20.100 17.900

---------------------------------------------------------------------

AREA |

Circular Mils | 1021.20 810.10 642.70 509.45 404.01 320.40

---------------------------------------------------------------------

DIAMETER OVER |

INSULATION |

SINGLE |

COTTON | 37.861 34.362 31.247 28.471 26.000 23.800

|

DOUBLE |

COTTON | 42.161 38.662 35.547 32.771 30.300 28.100

|

SINGLE SILK | 34.261 30.762 27.647 24,871 22.401 20.200

|

DOUBLE SILK | 36.161 32.662 29.547 26.771 24.300 22.100

---------------------------------------------------------------------

TURNS PER |

LINEAR INCH |

SINGLE |

COTTON | 25.7 28.3 31.0 34.4 36.9 38.0

|

DOUBLE | 22.5 24.5 26.7 28.97 31.35 33.92

COTTON |

|

SINGLE SILK | 27.70 30.97 34.39 38.19 42.37 47.02

|

DOUBLE SILK | 26.22 29.07 32.11 35.53 39.14 42.94

---------------------------------------------------------------------

TURNS PER |

SQUARE INCH |

SINGLE |

COTTON | 660.5 800.9 961.0 1183.0 1321.6 1444.0

|

DOUBLE |

COTTON | 506.3 600.2 712.9 839.2 982.8 1150.8

|

SINGLE SILK | 767.3 959.1 1182.7 1458.5 1795.2 2210.9

|

DOUBLE SILK | 687.5 845.0 1031.0 1262.4 1532.0 1843.8

---------------------------------------------------------------------

OHMS PER |

CUBIC INCH |

SINGLE |

COTTON | .646 .981 1.502 2.359 3.528 5.831

|

DOUBLE |

COTTON | .533 .795 1.188 1.772 2.595 3.802

|

SINGLE SILK | .801 1.261 1.956 3.049 4.739 7.489

---------------------------------------------------------------------

A.W.G. B & S | 26 27 28 29 30 31

---------------------------------------------------------------------

DIAMETER |

Mils | 15.940 14.195 12.641 11.257 10.025 8.928

---------------------------------------------------------------------

AREA |

Circular Mils | 254.01 201.50 159.79 126.72 100.50 79.71

---------------------------------------------------------------------

DIAMETER OVER |

INSULATION |

SINGLE |

COTTON | 21.840 20.095 18.541 17.157 15.925 14.828

|

DOUBLE |

COTTON | 26.140 24.395 22.841 21.457 20.225 19.128

|

SINGLE SILK | 18.240 16.495 14.941 13.557 12.325 11.228

|

DOUBLE SILK | 20.140 18.395 16.841 15.457 14.225 13.128

---------------------------------------------------------------------

TURNS PER |

LINEAR INCH |

SINGLE |

COTTON | 42.0 48.0 53.0 56.5 59.66 64.125

|

DOUBLE |

COTTON | 36.29 38.95 41.61 44.27 46.93 49.78

|

SINGLE SILK | 52.06 57.67 63.36 70.11 77.14 84.64

|

DOUBLE SILK | 46.81 51.59 56.43 61.56 66.79 72.39

---------------------------------------------------------------------

TURNS PER |

SQUARE INCH |

SINGLE |

COTTON | 1764.0 2304.0 2809.9 3192.3 3359.2 4112.2

|

DOUBLE |

COTTON | 1317.0 1517.2 1731.0 1959.9 2202.5 2478.0

|

SINGLE SILK | 2710.3 3326.0 4014.5 4915.5 5950.2 7164.0

|

DOUBLE SILK | 2191.2 2661.6 3184.5 3789.8 4461.0 5240.0

---------------------------------------------------------------------

OHMS PER |

CUBIC INCH |

SINGLE |

COTTON | 6.941 10.814 17.617 25.500 34.800 48.5

|

DOUBLE |

COTTON | 5.552 8.078 11.54 16.47 23.43 32.83

|

SINGLE SILK | 9.031 13.92 26.86 41.29 62.98 95.70

---------------------------------------------------------------------

A.W.G. B & S | 32 33 34 35 36 37

----------------------------------------------------------------------

DIAMETER |

Mils | 7.950 7.080 6.304 5.614 5.000 4.453

----------------------------------------------------------------------

AREA |

Circular Mils | 63.20 50.13 39.74 31.52 25.00 19.83

----------------------------------------------------------------------

DIAMETER OVER |

INSULATION |

SINGLE |

COTTON | 13.850 12.980 12.204 11.514 10.900 10.353

|

DOUBLE |

COTTON | 18.150 17.280 16.504 15.814 15.200 14.653

|

SINGLE SILK | 10.250 9.380 8.504 7.914 7.300 6.753

|

DOUBLE SILK | 12.150 11.280 10.504 9.814 9.200 8.653

----------------------------------------------------------------------

TURNS PER |

LINEAR INCH |

SINGLE |

COTTON | 68.600 73.050 77.900 82.600 87.100 91.870

|

DOUBLE |

COTTON | 52.34 55.10 57.57 60.04 62.51 64.70

|

SINGLE SILK | 92.72 101.65 112.11 119.7 130.15 140.6

|

DOUBLE SILK | 78.19 84.17 90.44 96.90 103.55 110.20

----------------------------------------------------------------------

TURNS PER |

SQUARE INCH |

SINGLE | 4692.5 5333.5 6068.5 6773.3 7586.5 8440.0

COTTON |

|

DOUBLE |

COTTON | 2739.5 3036.1 3314.2 3605.0 3907.5 4186.1

|

SINGLE SILK | 8597.5 10332.0 12570.0 14327.0 16940.0 19770.0

|

DOUBLE SILK | 6114.0 7085.0 8179.5 9389.5 10772.0 12145.0

---------------------------------------------------------------------

OHMS PER |

CUBIC INCH |

SINGLE |

COTTON | 73.8 104.5 151.4 202.0 298.8 418.0

|

DOUBLE |

COTTON | 46.19 64.30 70.58 125.9 166.3 225.6

|

SINGLE SILK | 144.70 217.8 342.1 489.0 721.1 1062.0

---------------------------------------------------------------------

A.W.G. B & S | 38 39 40

--------------------------------------------

DIAMETER |

Mils | 3.965 3.531 3.144

--------------------------------------------

AREA |

Circular Mils | 15.72 12.47 9.89

--------------------------------------------

DIAMETER OVER |

INSULATION |

SINGLE |

COTTON | 9.865 9.431 9.044

|

DOUBLE |

COTTON | 14.165 13.731 13.344

|

SINGLE SILK | 6.265 5.831 5.344

|

DOUBLE SILK | 8.165 7.731 7.344

--------------------------------------------

TURNS PER |

LINEAR INCH |

SINGLE |

COTTON | 95.000 100.700 106.000

|

DOUBLE |

COTTON | 66.80 68.80 71.20

|

SINGLE SILK | 151.05 163.04 177.65

|

DOUBLE SILK | 116.85 122.55 129.20

--------------------------------------------

TURNS PER |

SQUARE INCH |

SINGLE |

COTTON | 9025.0 10140.5 11236.0

|

DOUBLE | 4462.2 4733.6 5069.8

COTTON |

|

SINGLE SILK | 22820.0 26700.0 31559.0

|

DOUBLE SILK | 13655.0 15018.0 16692.0

--------------------------------------------

OHMS PER |

CUBIC INCH |

SINGLE |

COTTON | 567.0 811.0 1113.0

|

DOUBLE | 305.5 409.8 545.5

COTTON |

|

SINGLE SILK | 1557.0 2266.0 3400.0

-------------------------------------------

If the length and the depth of the winding space of the coil as well

as the diameter of the core are known, it is not difficult to

determine how much bare copper wire of a given size may be wound on

it, but it is more difficult to know these facts concerning copper

wire which has been covered with cotton or silk. Yet something may be

done, and tables have been prepared for standard wire sizes with

definite thicknesses of silk and cotton insulation. As a result of

facts collected from a large number of actually wound coils, the

number of turns per linear inch and per square inch of B.&S. gauge

wires from No. 20 to No. 40 have been tabulated, and these,

supplemented by a tabulation of the number of ohms per cubic inch of

winding space for wires of three different kinds of insulation, are

given in Table IV.

Bearing in mind that the calculations of Table IV are all based upon

the "diameter over insulation," which it states at the outset for each

of four different kinds of covering, it is evident what is meant by

"turns per linear inch." The columns referring to "turns per square

inch" mean the number of turns, the ends of which would be exposed in

one square inch if the wound coil were cut in a plane passing through

the axis of the core. Knowing the distance between the head, and the

depth to which the coil is to be wound, it is easy to select a size of

wire which will give the required number of turns in the provided

space. It is to be noted that the depth of winding space is one-half

of the difference between the core diameter and the complete diameter

of the wound coil. The resistance of the entire volume of wound wire

may be determined in advance by knowing the total cubic contents of

the winding space and multiplying this by the ohms per cubic inch of

the selected wire; that is, one must multiply in inches the distance

between the heads of the spool by the difference between the squares

of the diameters of the core and the winding space, and this in turn

by .7854. This result, times the ohms per cubic inch, as given in the

table, gives the resistance of the winding.

There is a considerable variation in the method of applying silk

insulation to the finer wires, and it is in the finer sizes that the

errors, if any, pile up most rapidly. Yet the table throughout is

based on data taken from many samples of actual coil winding by the

present process of winding small coils. It should be said further that

the table does not take into account the placing of any layers of

paper between the successive layers of the wires. This table has been

compared with many examples and has been used in calculating windings

in advance, and is found to be as close an approximation as is

afforded by any of the formulas on the subject, and with the further

advantage that it is not so cumbersome to apply.

_Winding Calculations._ In experimental work, involving the winding of

coils, it is frequently necessary to try one winding to determine its

effect in a given circuit arrangement, and from the knowledge so

gained to substitute another just fitted to the conditions. It is in

such a substitution that the table is of most value. Assume a case in

which are required a spool and core of a given size with a winding of,

say No. 25 single silk-covered wire, of a resistance of 50 ohms.

Assume also that the circuit regulations required that this spool

should be rewound so as to have a resistance of, say 1,000 ohms. What

size single silk-covered wire shall be used? Manifestly, the winding

space remains the same, or nearly so. The resistance is to be

increased from 50 to 1,000 ohms, or twenty times its first value.

Therefore, the wire to be used must show in the table twenty times as

many ohms per cubic inch as are shown in No. 25, the known first size.

This amount would be twenty times 7.489, which is 149.8, but there is

no size giving this exact resistance. No. 32, however, is very nearly

of that resistance and if wound to exactly the same depth would give

about 970 ohms. A few turns more would provide the additional thirty

ohms.

Similarly, in a coil known to possess a certain number of turns, the

table will give the size to be selected for rewinding to a greater or

smaller number of turns. In this case, as in the case of substituting

a winding of different resistance, it is unnecessary to measure and

calculate upon the dimensions of the spool and core. Assume a spool

wound with No. 30 double silk-covered wire, which requires to be

wound with a size to double the number of turns. The exact size to do

this would have 8922. turns per square inch and would be between No.

34 and No. 35. A choice of these two wires may be made, using an

increased winding depth with the smaller wire and a shallower winding

depth for the larger wire.

Impedance Coils. In telephony electromagnets frequently serve, as

already stated, to perform other functions than the producing of

motion by attracting or releasing their armatures. They are required

to act as impedance coils to present a barrier to the passage of

alternating or other rapidly fluctuating currents, and at the same

time to allow the comparatively free passage of steady currents. Where

it is desired that an electromagnet coil shall possess high impedance,

it is usual to employ a laminated instead of a solid core. This is

done by building up a core of suitable size by laying together thin

sheets of soft iron, or by forming a bundle of soft iron wires. The

use of laminated cores is for the purpose of preventing eddy currents,

which, if allowed to flow, would not only be wasteful of energy but

would also tend to defeat the desired high impedance. Sometimes in

iron-clad impedance coils, the iron shell is slotted longitudinally to

break up the flow of eddy currents in the shell.

Frequently electromagnetic coils have only the function of offering

impedance, where no requirements exist for converting any part of the

electric energy into mechanical work. Where this is the case, such

coils are termed _impedance_, or _retardation_, or _choke coils_,

since they are employed to impede or to retard or to choke back the

flow of rapidly varying current. The distinction, therefore, between

an impedance coil and the coil of an ordinary electromagnet is one of

function, since structurally they may be the same, and the same

principles of design and construction apply largely to each.

_Number of Turns_. It should be remembered that an impedance coil

obstructs the passage of fluctuating current, not so much by ohmic

resistance as by offering an opposing or counter-electromotive force.

Other things being equal, the counter-electromotive force of

self-induction increases directly as the number of turns on a coil and

directly as the number of lines of force threading the coil, and this

latter factor depends also on the reluctance of the magnetic circuit.

Therefore, to secure high impedance we need many turns or low

reluctance, or both. Often, owing to requirements for direct-current

carrying capacity and limitations of space, a very large number of

turns is not permissible, in which case sufficiently high impedance to

such rapid fluctuations as those of voice currents may be had by

employing a magnetic circuit of very low reluctance, usually a

completely closed circuit.

_Kind of Iron. _An important factor in the design of impedance coils

is the grade of iron used in the magnetic circuit. Obviously, it

should be of the highest permeability and, furthermore, there should

be ample cross-section of core to prevent even an approach to

saturation. The iron should, if possible, be worked at that density of

magnetization at which it has the highest permeability in order to

obtain the maximum impedance effects.

_Types._ Open-Circuit:--Where very feeble currents are being dealt

with, and particularly where there is no flow of direct current, an

open magnetic circuit is much used. An impedance coil having an open

magnetic circuit is shown in section in Fig. 101, Fig. 102 showing its

external appearance and illustrating particularly the method of

bringing out the terminals of the winding.

[Illustration: Fig. 101. Section of Open-Circuit Impedance Coil]

[Illustration: Fig. 102. Open-Circuit Impedance Coil]

[Illustration: Fig. 103. Closed-Circuit Impedance Coil]

Closed-Circuit:--A type of retardation coil which is largely used in

systems of simultaneous telegraphy and telephony, known as _composite

systems_, is shown in Fig. 103. In the construction of this coil the

core is made of a bundle of fine iron wires first bent into U-shape,

and then after the coils are in place, the free ends of the core are

brought together to form a closed magnetic circuit. The coils have a

large number of turns of rather coarse wire. The conditions

surrounding the use of this coil are those which require very high

impedance and rather large current-carrying capacity, and fortunately

the added requirement, that it shall be placed in a very small space,

does not exist.

Toroidal:--Another type of retardation coil, called the toroidal type

due to the fact that its core is a torus formed by winding a

continuous length of fine iron wire, is shown in diagram in Fig. 104.

The two windings of this coil may be connected in series to form in

effect a single winding, or it may be used as a "split-winding" coil,

the two windings being in series but having some other element, such

as a battery, connected between them in the circuit. Evidently such a

coil, however connected, is well adapted for high impedance, on

account of the low reluctance of its core.

[Illustration: Fig. 104. Symbol of Toroidal Impedance Coil]

This coil is usually mounted on a base-board, the coil being enclosed

in a protecting iron case, as shown in Fig. 105. The terminal wires of

both windings of each coil are brought out to terminal punchings on

one end of the base-board to facilitate the making of the necessary

circuit connections.

[Illustration: Fig. 105. Toroidal Impedance Coil]

The usual diagrammatic symbol for an impedance coil is shown in Fig.

106. This is the same as for an ordinary bar magnet, except that the

parallel lines through the core may be taken as indicating that the

core is laminated, thus conveying the idea of high impedance. The

symbol of Fig. 104 is a good one for the toroidal type of impedance

coil.

[Illustration: Fig. 106. Symbol of Impedance Coil]

Induction Coil. An induction coil consists of two or more windings

of wire interlinked by a common magnetic circuit. In an induction coil

having two windings, any change in the strength of the current flowing

in one of the windings, called the _primary_, will cause corresponding

changes in the magnetic flux threading the magnetic circuit, and,

therefore, changes in flux through the other winding, called the

_secondary_. This, by the laws of electromagnetic induction, will

produce corresponding electromotive forces in the secondary winding

and, therefore, corresponding currents in that winding if its circuit

be closed.

_Current and Voltage Ratios._ In a well-designed induction coil the

energy in the secondary, _i.e._, the induced current, is for all

practical purposes equal to that of the primary current, yet the

values of the voltage and the amperage of the induced current may vary

widely from the values of the voltage and the amperage of the primary

current. With simple periodic currents, such as the commercial

alternating lighting currents, the ratio between the voltage in the

primary and that in the secondary will be equal to the ratio of the

number of turns in the primary to the number of turns in the

secondary. Since the energy in the two circuits will be practically

the same, it follows _that the ratio between the current in the

primary and that in the secondary will be equal to the ratio of the

number of turns in the secondary to the number of turns in the

primary_. In telephony, where the currents are not simple periodic

currents, and where the variations in current strength take place at

different rates, such a law as that just stated does not hold for all

cases; but it may be stated in general that _the induced currents will

be of higher voltage and smaller current strength than those of the

primary in all coils where the secondary winding has a greater number

of turns than the primary_, and _vice versâ_.

_Functions._ The function of the induction coil in telephony is,

therefore, mainly one of transformation, that is, either of stepping

up the voltage of a current, or in other cases stepping it down. The

induction coil, however, does serve another purpose in cases where no

change in voltage and current strength is desired, that is, it serves

as a means for electrically separating two circuits so far as any

conductive relation exists, and yet of allowing the free transmission

by induction from one of these circuits to the other. This is a

function that in telephony is scarcely of less importance than the

purely transforming function.

_Design._ Induction coils, as employed in telephony, may be divided

into two general types: first, those having an open magnetic circuit;

and, second, those having a closed magnetic circuit. In the design of

either type it is important that the core should be thoroughly

laminated, and this is done usually by forming it of a bundle of soft

Swedish or Norway iron wire about .02 of an inch in diameter. The

diameter and the length of the coil, and the relation between the

number of turns in the primary and in the secondary, and the

mechanical construction of the coil, are all matters which are subject

to very wide variation in practice. While the proper relationship of

these factors is of great importance, yet they may not be readily

determined except by actual experiment with various coils, owing to

the extreme complexity of the action which takes place in them and to

the difficulty of obtaining fundamental data as to the existing facts.

It may be stated, therefore, that the design of induction coils is

nearly always carried out by "cut-and-try" methods, bringing to bear,

of course, such scientific and practical knowledge as the experimenter

may possess.

[Illustration: Fig. 107. Induction Coil]

[Illustration: Fig. 108. Section of Induction Coil]

_Use and Advantage._ The use and advantages of the induction coil in

so-called local-battery telephone sets have already been explained in

previous chapters. Such induction coils are nearly always of the open

magnetic circuit type, consisting of a long, straight core comprised

of a bundle of small annealed iron wires, on which is wound a primary

of comparatively coarse wire and having a small number of turns, and

over which is wound a secondary of comparatively fine wire and having

a very much larger number of turns. A view of such a coil mounted on a

base is shown in Fig. 107, and a sectional view of a similar coil is

shown in Fig. 108. The method of bringing out the winding terminals is

clearly indicated in this figure, the terminal wires _2_ and _4_ being

those of the primary winding and _1_ and _3_ those of the secondary

winding. It is customary to bring out these wires and attach them by

solder to suitable terminal clips. In the case of the coil shown in

Fig. 108 these clips are mounted on the wooden heads of the coil,

while in the design shown in Fig. 107 they are mounted on the base, as

is clearly indicated.

Repeating Coil. The so-called repeating coil used in telephony is

really nothing but an induction coil. It is used in a variety of ways

and usually has for its purpose the inductive association of two

circuits that are conductively separated. Usually the repeating coil

has a one to one ratio of turns, that is, there are the same number of

turns in the primary as in the secondary. However, this is not always

the case, since sometimes they are made to have an unequal number of

turns, in which case they are called _step-up _or _step-down_

repeating coils, according to whether the primary has a smaller or a

greater number of turns than the secondary. Repeating coils are almost

universally of the closed magnetic circuit type.

_Ringing and Talking Considerations._ Since repeating coils often

serve to connect two telephones, it follows that it is sometimes

necessary to ring through them as well as talk through them. By this

is meant that it is necessary that the coil shall be so designed as to

be capable of transforming the heavy ringing currents as well as the

very much smaller telephone or voice currents. Ringing currents

ordinarily have a frequency ranging from about 16 to 75 cycles per

second, while voice currents have frequencies ranging from a few

hundred up to perhaps ten thousand per second. Ordinarily, therefore,

the best form of repeating coil for transforming voice currents is not

the best for transforming the heavy ringing currents and _vice versâ_.

If the comparatively heavy ringing currents alone were to be

considered, the repeating coil might well be of heavy construction

with a large amount of iron in its magnetic circuit. On the other

hand, for carrying voice currents alone it is usually made with a

small amount of iron and with small windings, in order to prevent

waste of energy in the core, and to give a high degree of

responsiveness with the least amount of distortion of wave form, so

that the voice currents will retain as far as possible their original

characteristics. When, therefore, a coil is required to carry both

ringing and talking currents, a compromise must be effected.

_Types._ The form of repeating coil largely used for both ringing and

talking through is shown in Fig. 109. This coil comprises a soft iron

core made up of a bundle of wires about .02 inch in diameter, the ends

of which are left of sufficient length to be bent back around the

windings after they are in place and thus form a completely closed

magnetic path for the core. The windings of this particular coil are

four in number, and contain about 2,400 turns each, and have a

resistance of about 60 ohms. In this coil, when connected for local

battery work, the windings are connected in pairs in series, thus

forming effectively two windings having about 120 ohms resistance

each. The whole coil is enclosed in a protecting case of iron. The

terminals are brought out to suitable clips on the wooden base, as

shown. An external perspective view of this coil is shown in Fig. 110.

By bringing out each terminal of each winding, eight in all, as shown

in this figure, great latitude of connection is provided for, since

the windings may be connected in circuit in any desirable way, either

by connecting them together in pairs to form virtually a primary and a

secondary, or, as is frequently the case, to split the primary and the

secondary, connecting a battery between each pair of windings.

[Illustration: Fig. 109. Repeating Coil]

[Illustration: Fig. 110. Repeating Coil]

Fig. 111 illustrates in section a commercial type of coil designed

for talking through only. This coil is provided with four windings of

1,357 turns each, and when used for local battery work the coils are

connected in pairs in series, thus giving a resistance of about 190

ohms in each half of the repeating coil. The core of this coil

consists of a bundle of soft iron wires, and the shell which forms the

return path for the magnetic lines is of very soft sheet iron. This

shell is drawn into cup shape and its open end is closed, after the

coil is inserted, by the insertion of a soft iron head, as indicated.

As in the case of the coil shown in Figs. 109 and 110, eight terminals

are brought out on this coil, thus providing the necessary flexibility

of connection.

[Illustration: Fig. 111. Repeating Coil]

[Illustration: Fig. 112. Diagram of Toroidal Repeating Coil]

[Illustration: Fig. 113. Toroidal Repeating Coil]

Still another type of repeating coil is illustrated in diagram in Fig.

112, and in view in Fig. 113. This coil, like the impedance coil shown

in Fig. 104, comprises a core made up of a bundle of soft iron wires

wound into the form of a ring. It is usually provided with two primary

windings placed opposite each other upon the core, and with two

secondary windings, one over each primary. In practice these two

primary windings are connected in one circuit and the two secondaries

in another. This is the standard repeating coil now used by the Bell

companies in their common-battery cord circuits.

[Illustration: THE OPERATING ROOM OF THE EXCHANGE AT WEBB CITY,

MISSOURI]

[Illustration: Fig. 114. Symbol of Induction Coil]

Conventional Symbols. The ordinary symbol for the induction coil

used in local battery work is shown in Fig. 114. This consists merely

of a pair of parallel zig-zag lines. The primary winding is usually

indicated by a heavy line having a fewer number of zig-zags, and the

secondary by a finer line having a greater number of zig-zags. In this

way the fact that the primary is of large wire and of comparatively

few turns is indicated. This diagrammatic symbol may be modified to

suit almost any conditions, and where a tertiary as well as a

secondary winding is provided it may be shown by merely adding another

zig-zag line.

[Illustration: Fig. 115. Repeating-Coil Symbols]

The repeating coil is indicated symbolically in the two diagrams of

Fig. 115. Where there is no necessity for indicating the internal

connections of the coil, the symbol shown in the left of this figure

is usually employed. Where, however, the coil consists of four

windings rather than two and the method of connecting them is to be

indicated, the symbol at the right hand is employed. In Fig. 116

another way of indicating a four-winding repeating coil or induction

coil is shown. Sometimes such windings may be combined by connection

to form merely a primary and a secondary winding, and in other cases

the four windings all act separately, in which case one may be

considered the primary and the others, respectively, the secondary,

tertiary, and quaternary.

[Illustration: Fig. 116. Symbol of Four-Winding Repeating Coil]

Where the toroidal type of repeating coil is employed, the diagram of

Fig. 112, already referred to, is a good symbolic representation.

Cyclopedia of Telephony and Telegraphy, Vol. 1 A General Reference Work on Telephony, etc. etc. · 第 6 / 15 章