CHAPTER I

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[Illustration]

[Illustration]

THE THOUGHT IS IN THE QUESTION THE INFORMATION IS IN THE ANSWER

HAWKINS

ELECTRICAL GUIDE

NUMBER

ONE

QUESTIONS

ANSWERS

&

ILLUSTRATIONS

A PROGRESSIVE COURSE OF STUDY

FOR ENGINEERS, ELECTRICIANS, STUDENTS

AND THOSE DESIRING TO ACQUIRE A

WORKING KNOWLEDGE OF

ELECTRICITY AND ITS APPLICATIONS

A PRACTICAL TREATISE

by

HAWKINS AND STAFF

THEO. AUDEL & CO. 72 FIFTH AVE. NEW YORK.

COPYRIGHTED, 1914,

BY

THEO. AUDEL & CO.,

NEW YORK.

Printed in the United States.

PREFACE

_The word “guide” is defined as:_

=_One who leads another in any path or direction; a person who shows or

points out the way, especially by accompanying or going before; more

particularly, one who shows strangers or tourists about; a conductor;

leader, as “let us follow our guide.”_=

_This book, or =“Guide,”= is so called because it =leads= or =points out

the way= to the acquirement of a theoretical and practical knowledge of

Electricity._

_There are several guides, each covering in detail a certain phase of the

broad subject of Electricity and leading the reader progressively, and in

such a way, that he easily grasps, not only the simple fundamental facts,

but the more complex problems, encountered in the study of Electricity.

This is accomplished by the aid of a =very large number of illustrations=,

together with specific explanations, worded in =concise and simple

language=._

_The Guides are written partly in the question and answer form, as this

style of presentation has met with hearty approval, not only from those of

limited education, but also from the better informed._

_Where recourse is had to the question and answer form, the special aim of

the author has been to give short and direct answers, in such plain

language as to preclude a misconception of the meaning. With this in view,

=the answer gives= simply =the information sought by the question=._

_=The answer is limited to one paragraph= so that the reader may

concentrate upon the fact or facts demanded by the question._

_Any enlargement of the answer or specific explanations of items contained

therein, are presented in separate paragraphs printed, in smaller type._

_With this plan of =separating the answer=, as it were, from items of

secondary importance, and making it short and simple, its content is more

forcibly impressed upon the mind of the reader._

_In a text book, it is necessary to illustrate and explain the various

species of commercial apparatus met with in practice, and in this

connection the Publishers desire to call attention to the manner in which

the author has treated what may be classed as the =“descriptive matter.”=

Contrary to the usual custom of giving descriptions of commercial machines

in the main text, where they would occupy considerable space, to the

exclusion of the more important matter, all such descriptions are placed

in small type directly under the illustrations, leaving space for an

adequate presentation of the underlying =principles=, =theories=, and for

the large amount of =practical information= that is essential to obtain a

general knowledge of Electricity and its numerous applications._

_Credit is largely due to Frank D. Graham, B.S., M.S. (Princeton

University), and M.E. (Stevens Institute), practical engineer, for the

authorship of the =Guides=, and for original sketches illustrating

electrical principles and construction._

TABLE OF CONTENTS GUIDE NO. 1.

=INTRODUCTORY CHAPTER=

=SIGNS AND SYMBOLS=

=ELECTRICITY= =1 to 4=

Nature and source--=kinds of electricity:= static, current,

dynamic, radiated, positive, negative, atmospheric, frictional,

resinous, vitreous.

=STATIC ELECTRICITY= =5 to 26=

Electrical =attraction and repulsion=--the charge--distribution

of the charge--free and bound electricity--conductors and

insulators--=electroscopes=--gold leaf electroscope--electric

screens--electrification by induction--nature of the induced

charge--the electrophorus--=condensers=; Leyden jar--=electric

machines=--action of Toepler-Holtz machine--Wimshurst machines.

=THE ELECTRIC CURRENT= =27 to 34=

Volt--ampere--ohm--=Ohm’s law=--production of the electric

current--current strength--voltage drop in an electric current.

=PRIMARY CELLS= =35 to 67=

=The word “battery”=--action of cell--chemical changes;

polarization--effects of polarization--methods of depolarization--

depolarizers--depolarizer bag--Volta’s contact law--contact

series of metals--=laws of chemical action in cell=--

requirements of a good cell--=single and two fluid cells=--

the Leclanche cell--Fuller bichromate cell--the Edison

cell--Grenet bichromate cell--Daniell cell--directions for

making a Daniell cell--gravity cells--Daniell gravity

cell--so-called “dry” cells--=points relating to dry cells=--

care of cells--cleanliness--separating the elements--creeping--

amalgamated zinc--battery connections.

=CONDUCTORS AND INSULATORS= =68 to 74=

The so-called “non-conductors”--=table of conductors and

insulators=--mode of transmission--effect of heat--heating

effect of the current--=insulators=--impregnating compounds--

water as a conductor.

=RESISTANCE AND CONDUCTIVITY= =75 to 82=

=Standard of resistance=--conductivity of metals and

liquids--effect of heat--=laws of electrical resistance=--

conductivity--specific conductivity--=divided circuits=.

=ELECTRICAL AND MECHANICAL ENERGY= =83 to 92=

=Definitions:= energy, matter, molecule, work, foot-pound,

volt-coulomb, ampere-hour, power, horse power, =watt=, kilowatt,

watt-hour--mechanical equivalent of heat--=British thermal

unit=--=electrical horse power=--the farad.

=EFFECTS OF THE CURRENT= =93 to 104=

=Thermal effect=--use of heat from the current--magnetic

effect--chemical effect--=electrolysis=--electro-chemical

series--electric osmose--electric distillation--muscular

contractions--=electroplating=--electrotyping.

=MAGNETISM= =105 to 124=

Two kinds of magnetism--nature of each--=poles=--magnetic

field--magnetic force--=magnetic circuit=--magnetic flux--the

Maxwell--the Gauss--=magnetic effect of the current=--corkscrew

rule--solenoids--permeability--magnetic saturation--magnetomotive

force--=reluctance=--analogy between electric and magnetic

circuits--=hystereses=--residual magnetism.

=ELECTROMAGNETIC INDUCTION= =125 to 136=

=Faraday’s discovery=--Faraday’s machine--Faraday’s principle--

line of force--induction of current--laws of electromagnetic

induction--rules for direction of induced current--Fleming’s

rule--Ampere’s rule--the palm rule--=self-induction=.

=INDUCTION COILS= =137 to 154=

Self-induction--mutual induction--=primary induction coils=--

=secondary induction coils=--plain secondary induction

coils--secondary induction coils with vibrator and condenser;

=cycle of action=--magnetic vibrators--vibrator adjustment--

table of induction coil dimensions--table of sparking distances

in air--=points relating to induction coils=--wiring diagram.

=THE DYNAMO= =155 to 160=

Operation--=essential parts=--field magnets--armature--

=construction of dynamos=--parts; bed plate, field magnets,

armature, commutator, brushes.

=THE DYNAMO: BASIC PRINCIPLES= =161 to 170=

=Definitions=--essential parts--=elementary alternator=--

operation--direction of induced current--application of

Fleming’s rule--cycle of operation--=the sine curve=; its

construction and application.

=THE DYNAMO: CURRENT COMMUTATION= =171 to 180=

How the current is produced--=how direct current is obtained=--

the commutator--inductors--“continuous current”--action of four

coil elementary dynamo--=conditions for steadiness of the current=.

=CLASSES OF DYNAMO= =181 to 198=

Classification--bipolar and multi-polar dynamos--difference

between dynamo and magneto--self-exciting dynamo--=the series

dynamo=--regulation of series dynamo; difficulties experienced--

=the shunt dynamo=--adaptation--operation--characteristic--

regulation--=the compound dynamo=--service intended for--

regulation--over compounding--usual degree of over compounding--

short shunt--long shunt--voltage of short and long shunt machines

--separately excited dynamos--=Dobrowolski three wire dynamo.=

=FIELD MAGNETS= =199 to 220=

=Object=--essential parts--=classes of field magnet=--multi-polar

field magnets--construction--choice of materials--design--=pole

pieces=--eddy current--=laminated fields=--construction to reduce

reluctance of the magnetic circuit--magnetizing coils--=methods of

winding=--coil ends--insulation--attachment of coils--coil

connections--=heating=--ventilation.

INTRODUCTORY CHAPTER

The subject matter of this work relates to one of the secrets of creation

which appears to have been intended at the very beginning to be “sought

out.” This idea is expressed in a certain saying copied three or four

thousand years ago by the men of Hezekiah, King of Judah: from Solomon’s

proverbs: “_It is the glory of God to conceal a thing: But the glory of

Kings_ (i.e., _wise men_), _to search out a matter._”

In all that may be said hereafter through the work, it is admitted that

the results recorded are the determinations of experiments performed by an

incredible number of searchers extending through many ages. These

inquiries have been pursued with a generous rivalry which has permitted

discovery to be added to discovery, until the sum total has been wrought

into such exactness that it has been thoughtlessly stated that there is

nothing more, save its application.

It may be well, however, to state a few fundamental facts relating to

electricity: 1, Electricity and magnetism are one and the same thing; 2,

what is really known about it has come as a discovery and not as an

invention. Thus, we say the intrepid explorer discovered the pole, not

that he invented it. So with electricity it has been a subject of

discovery while its many applications to useful purposes have been

veritable inventions; 3, the earth itself is a magnet.

This last is shown by the fact that the earth affects a magnet just as one

magnet affects another. Magnets are bodies, either natural or artificial,

which have the property of attracting iron, and the power, when freely

suspended, of taking a direction toward the poles of the earth. The

natural magnet is sometimes called the _loadstone_. This word is said to

be derived from _loedan_, a Saxon word which signifies to guide. It is an

oxide of iron of a peculiar character, found occasionally in beds of iron

ore. Though commonly met with in irregular masses only a few inches in

diameter, however, loadstones of larger sizes are sometimes found.

By means of simple experiments it may be ascertained that the magnet has

the following general properties, viz: 1, power of attraction; 2, power of

repulsion; 3, power of communicating magnetism to iron or steel; 4,

polarity, or the power of taking a direction toward the poles of the

earth; 5, power of inclining itself toward a point below the horizon.

Speaking generally we may say, that magnetism is a department of

electrical science which treats of the properties and effects of the

magnet. The same terms are also used to denote the unknown cause of

magnetic phenomena, as when we speak of magnetism as excited, imparted,

and so on.

Lightning and the Northern Lights are displays of electricity on a grand

scale. Electricity is a term derived from the Greek word for _amber_, that

being the substance in which a property of the agent now denominated

electricity was first observed.

The ancient Greek philosophers were acquainted with the fact that amber,

when rubbed, acquired the property of attracting light bodies; hence the

effect was denominated electrical and in later times, the term electricity

has been used to denote the unknown cause of electrical phenomena, and

broadly the science which treats of electrical phenomena and their causes.

Electricity, whatever it may prove to be, is not _matter_ nor is it

_energy_; it is however a means or medium of transmitting energy.

If electricity is to transmit or convey energy along a wire,

this energy must be imparted to the electricity from some

external source, that is to say, before electricity can perform

any work it must be set in motion, against more or less

resistance. This involves that pressure must be applied, and to

obtain this pressure, energy must be expended from some external

source.

Accordingly, in electrical engineering, the first principle to be grasped

is that of _energy_. Without the expenditure of energy no useful work can

be accomplished.

Energy may be defined as _the capacity for performing work_.

Although electricity is not energy, electricity under pressure is a form

of energy spoken of as electrical energy.

In an expenditure of energy in this form, the electricity acts simply as a

transmission agent or medium to transmit the energy imparted to it in

causing it to flow.

In a similar manner, steam acts as a transmission agent or

medium to transmit the heat energy of the coal to the steam

engine, where it is converted into mechanical energy.

As just stated, electricity under pressure is a form of energy, and its

generation is simply a transformation of energy from one form into

another. Usually, mechanical energy is converted into electrical energy,

and a dynamo is employed for effecting the transformation.

In transforming the mechanical energy of waterfalls into

electric energy, this natural power of water due to its weight

and motion is first converted into rotary motion by a turbine or

water wheel, and then converted into electric energy by a

dynamo, or an alternator.

All dynamos are but machines for converting into electric energy

the energy which is given to them by some prime mover, as a

steam engine, a gas engine, by hydraulic or even by wind power.

All electric motors are merely machines for reconverting the

electric energy which they receive by means of the conducting

wires or mains, into mechanical energy.

All electric lamps are contrivances for converting into luminous

energy a percentage of the electric energy that is supplied

through the mains.

=Potential and Kinetic Energy.=--_Potential energy_ is the capacity for

performing work which a body possesses _by virtue of its position_.

_Kinetic energy_ is the capacity for performing work which a body

possesses _by virtue of its motion_.

It must be evident that position or motion given to a body

enables it to perform work. In the first instance, for example,

a heavy weight at the top of a high tower possesses potential

energy. A ten pound weight supported one foot above a plane has

ten foot pounds of potential energy.

The flywheel of a steam engine in motion is an example of a body

possessing kinetic energy. Some of this kinetic energy which was

stored up in the fly wheel during the working stroke is expended

in moving the engine over the “dead center,” and any other point

where no torque is produced by the pressure on the piston.

=Chemical Energy= can be converted into electric energy to a limited

extent by means of the electric battery, but the cost of this energy is so

high that it is commercially feasible only where small quantities are

required, and the cost of production is secondary to the convenience of

generation, as for signalling purposes, the operation of bells and

annunciators, etc.

The chemical energy of coal and other fuels cannot be directly

converted into electric energy. For power producing purposes,

the chemical energy of a fuel is first converted into heat by

combustion, and the heat thus obtained converted into mechanical

energy by some form of heat engine, and the mechanical energy

subsequently transformed into electric energy in an electric

generator.

_Energy cannot be created or destroyed._ This is the law known as the

=conservation of energy= which has been built up by Helmholtz, Thomson,

Joule and others. It teaches further, that energy can be transmitted from

one body to another or transformed in its manifestations.

Energy may be dissipated, that is, converted into a form from

which it cannot be recovered, as is the case with the great

percentage of heat escaping from the exhaust nozzle of a

locomotive or in the circulating water of a steamship, but the

total amount of energy in the universe, it is argued, remains

constant and invariable.

Following this law comes the doctrine of the =conservation of electricity=

as announced by Lippman, being undoubtedly the outcome of the ideas of

Maxwell and of Faraday as to the nature of electricity. According to their

doctrine, electricity _cannot be created or destroyed, although its

distribution may be altered_.

Lippman states that every charge of electricity has an opposite

and equal charge somewhere in the universe more or less

distributed; that is, the sum of positive charges is always

equal to the sum of negative charges.

In _altering the distribution of electricity_, we may cause =more= to

appear at one place and =less= at another, or may change it from the

condition of rest to that of motion, or may cause it to spin round in

whirlpools or vortices, which themselves can attract or repel other

vortices. According to this view all our electrical machines and batteries

are merely instruments for altering the _distribution_ of electricity by

moving some of it from one place to another, or for causing electricity,

when accumulated or heaped, together in one place, to do work in

returning to its former distribution.

Electrical engineering has developed largely and widely within a very

short time and its many applications has created so great a demand for

various kinds of electrical apparatus, that their manufacture forms one of

the leading industries.

Electricity is very valuable as a medium for the transmission of energy,

especially to long distances; it is also used to great advantage in

lighting, being free from the disagreeable properties of gas or oil.

Again, electricity finds various applications, in extracting gold from the

ore, pumping and ventilation of mines, traction, telephone, telegraph,

electroplating, therapeutics, etc.

These few, of its many applications will perhaps serve to indicate the far

reaching interest and importance of electricity, and possibly help to

kindle in the student something of the eagerness in his work and

enthusiasm without which he will fail to do justice either to his calling

or to himself.

SIGNS AND SYMBOLS

The following signs, symbols and abbreviations are almost universally

employed in descriptive and technical works on electrical subjects.

Although, in the arrangement of the Guides, the direct current and

alternating current matter has been kept separate, it is perhaps advisable

in the case of signs and symbols, to combine those relating to the

alternating current with the direct current and other symbols, making a

single table, rather than have them scattered throughout the work.

=1. Fundamental.=

_l_, Length. cm. = centimeter; in., or ″ = inch, ft. or

′ = foot.

M, Mass. gr. = mass of 1 gramme kg. = 1 kilogramme.

T, _t_, Time, _s_ = second.

=2. Derived Geometric.=

S, _s_, Surface.

E, Volume.

α, β, Angle.

=3. Derived Mechanical.=

_v_, Velocity.

ω, Angular velocity.

_r_, Momentum.

_a_, Acceleration.

_g_, Acceleration due to gravity = 32.2 feet per second.

F, _f_, Force.

W, Work.

P, Power.

δ, Dyne.

ε, Ergs,

ft. lb., Foot pound.

H.P., h.p. Horse power.

I.H.P., Indicated horse power.

B.H.P., Brake horse power.

E.H.P., Electrical horse power.

J, Joule’s equivalent.

_p_, Pressure.

K, Moment of inertia.

=4. Derived Electrostatic.=

_e_, Pressure difference.

_i_, Current.

_r_, Resistance.

_q_, Quantity.

_c_, Capacity.

_sc_, Specific inductive capacity.

=5. Derived Magnetic.=

_m_, Strength of pole.

[Script J], Intensity of magnetization.

[Script M], Magnetic moment.

[Script H], Horizontal intensity of earth’s magnetism.

[Script H], Field intensity.

φ, Magnetic flux.

[Script B], Magnetic flux density or magnetic induction.

[Script H], Magnetizing force.

[Script F], Magnetomotive force.

[Script R], Reluctance, magnetic resistance.

μ, Magnetic permeability.

κ, Magnetic susceptibility.

ν, Reluctivity (specific magnetic resistance).

=6. Derived Electromagnetic.=

R, Resistance, ohm.

O, do, megohm.

E, Volt, pressure.

E_im Impressed pressure.

E_a, E_o Active pressure; ohmic drop.

E_v Virtual pressure.

E_max Maximum pressure.

E_av Average pressure.

E_ef Effective pressure.

E_i Inductance pressure.

E_c Capacity pressure.

U, Difference of pressure, volt.

I, Intensity of current, ampere.

I_im Impressed current.

I_a Active current.

I_v Virtual current.

I_max Maximum current.

I_av Average current.

I_ef Effective current.

Q, Quantity of electricity, ampere-hour; coulomb.

C, Capacity, farad.

W, Electric energy, watt-hour; Joule.

P, Electric power, watt; kilowatt.

_p_, Resistivity (specific resistance) ohm centimeter.

G, Conductance, mho.

γ, Conductivity (specific conductivity).

Y, Admittance, mho.

Z, Impedance, ohm.

X, Reactance, ohm.

X_i Inductance reactance.

X_c Capacity reactance.

B, Susceptance, mho.

L, Inductance (coefficient of Induction), henry.

_v_, Ratio of electromagnetic to electrostatic unit of quantity

=3×10^{10} centimeters per second approximately.

=7. Symbols in general use.=

D, Diameter.

_r_, Radius.

_t_, Temperature.

θ, Deflection of galvanometer needle.

N, _n_, Number of anything.

π, Circumference ÷ diameter = 3.141592.

ω, 2π_f_ = 6.2831 × frequency, in alternating current.

~, _f_, Frequency, periodicity, cycles per second.

φ, Phase angle.

G, Galvanometer.

S, Shunt.

N, n, North pole of a magnet.

S, s, South pole of a magnet.

A.C. Alternating current.

D.C. Direct current.

P.D. Pressure difference.

P.F. Power factor.

C.G.S. Centimeter, Gramme, Second system.

B.&S. Brown & Sharpe wire gauge.

B.W.G. Birmingham wire gauge.

R.p.m. Revolutions per minute.

C.P. Candle power.

[--o--], Incandescent lamp.

[--X--], Arc lamp.

[Symbol: Condenser] OR [Symbol: Condenser] Condenser.

[Symbol: Battery of cells] Battery of cells.

[Symbol: Dynamo] Dynamo, or direct current motor.

[Symbol: Alternator] Alternator, or alternating current motor.

[Symbol: Converter] Converter.

[Symbol: Static transformer] Static transformer.

[Symbol: Inductive resistance] Inductive resistance.

[Symbol: Non-inductive resistance] Non-inductive resistance.

CHAPTER I

ELECTRICITY

=Nature and Source of Electricity.=--What is electricity? This is a

question that is frequently asked, but has not yet been satisfactorily

answered. It is a force, subject to control under well known laws.

While the nature and source of electricity still remain a mystery, many

things about it have become known, thus, it is positively assured that

electricity never manifests itself except when there is some mechanical

disturbance in ordinary matter.

The true nature of electricity has not yet been discovered. Many think it

a quality inherent in nearly all the substances, and accompanied by a

peculiar movement or arrangement of the molecules. Some assume that the

phenomena of electricity are due to a peculiar state of strain or tension

in the ether which is present everywhere, even in and between the atoms of

the most solid bodies. If the latter theory be the true one, and if the

atmosphere of the earth be surrounded by the same ether, it may be

possible to establish these assumptions as facts.

The most modern supposition regarding this matter, by Maxwell, is that

light itself is founded on electricity, and that _light waves_ are merely

_electromagnetic waves_. The theory “that electricity is related to, or

identical with, the luminiferous ether,” has been accepted by the most

prominent scientists.

But while electricity is still a mystery, much is known about the laws

governing its phenomena. Man has mastered this mighty force and made it

his powerful servant; he can produce it and use it.

Electricity, it is also conceded, is without weight, and, while it is

without doubt, one and the same, it is for convenience sometimes

classified according to its motion, as:

1. Static electricity, or electricity _at rest_;

2. Current electricity, or electricity _in motion_;

3. Magnetism, or electricity _in rotation_;

4. Electricity _in vibration_ (radiation).

Other useful divisions are:

1. Positive;

2. Negative electricity;

3. Static;

4. Dynamic electricity.

=Static Electricity.=--This is a term employed to define electricity

produced by friction. It is properly employed in the sense of a static

charge which shows itself by the attraction or repulsion between charged

bodies.

When static electricity is discharged, it causes more or less of a

current, which shows itself by the passage of sparks or a brush discharge;

by a peculiar prickling sensation; by a peculiar smell due to its chemical

effects; by heating the air or other substances in its path; and sometimes

in other ways.[1]

=Current Electricity.=--This may be defined as the quantity of electricity

which passes through a conductor in a given time--or, electricity in the

act of being discharged, or electricity in motion.

An electric current manifests itself by heating the wire or conductor; by

causing a magnetic field around the conductor and by causing chemical

changes in a liquid through which it may pass.

=Dynamic Electricity.=--This term is used to define current electricity to

distinguish it from static electricity.

=Radiated Electricity.=--Electricity in vibration. Where the current

oscillates or vibrates back and forth with extreme rapidity, it takes the

form of waves which are similar to waves of light.

=Positive electricity.=--This term expresses the condition of the point of

an electrified body having the higher energy from which it flows to a

lower level. The sign which denotes this phase of electric excitement is

+; all electricity is either positive or negative.

=Negative Electricity.=--This is the reverse condition to the above and is

expressed by the sign or symbol -. These two terms are used in the same

sense as _hot_ and _cold_.

=Atmospheric Electricity= is the free electricity of the air which is

almost always present in the atmosphere. Its exact cause is unknown.

The phenomena of atmospheric electricity are of two kinds; there are the

well known manifestations of thunderstorms; and there are the phenomena of

continual slight electrification in the air, best observed when the

weather is fine; the Aurora constitutes a third branch of the subject.

[Illustration: FIG. 1.--The electric eel. There are several species

inhabiting the water, and which have the power of producing electric

discharges by certain portions of their organism. The best known of these

are the _Torpedo_, the _Gymnotus_, and the _Silurus_, found in the Nile

and the Tiger. The Electric Ray, of which there are three species

inhabiting the Mediterranean and Atlantic is provided with an electric

organ on the back of its head, as shown in the illustration. This organ

consists of laminæ composed of polygonal cells to the number of 800 or

1000, or more, supplied with four large bundles of nerve fibres; the under

surface of the fish is -, the upper +. In the Surinam eel, the electric

organ goes the whole length of the body along both sides. It is able to

give a very severe shock, and is a formidable antagonist when it has

attained its full length of 5 or 6 feet.]

=Frictional Electricity= is that produced by the friction of one substance

against another.

=Resinous Electricity.=--The kind of electricity produced upon a resinous

substances such as sealing wax, resin, shellac, rubber or amber when

rubbed with wool or fur. Resinous electricity is _negative electricity_.

=Vitreous Electricity.=--A term applied to the positive electricity

developed in a glass rod by rubbing it with silk. This electric charge

will attract to itself bits of pith or paper which have been repelled from

a rod of sealing wax or other resinous substance which had been rubbed

with wool or fur.

Hawkins Electrical Guide v. 01 (of 10) Questions, Answers, & Illustrations, A progressive course of study for engineers, electricians, students and those desiring to acquire a working knowledge of electricity and its applications · 第 1 / 16 章