1) Electromagnet
An
electromagnet is a device in which magnetism is produced by an electric
current.
British
electrician, William Sturgeon
invented the electromagnet in 1825. The
first electromagnet was a horseshoe-shaped piece of iron that was
wrapped with a loosely wound coil of several turns. When a current was
passed through the coil; the electromagnet became magnetized and when
the current was stopped the coil was de-magnetized. Sturgeon displayed
its power by lifting nine pounds with a seven-ounce piece of iron
wrapped with wires through which the current of a single cell battery
was sent. The
first electromagnet was a horseshoe-shaped piece of iron that was
wrapped with a loosely wound coil of several turns. When a current was
passed through the coil; the electromagnet became magnetized and when
the current was stopped the coil was de-magnetized. Sturgeon displayed
its power by lifting nine pounds with a seven-ounce piece of iron
wrapped with wires through which the current of a single cell battery
was sent.
Sturgeon
could regulate his electromagnet; this was the beginning of using
electrical energy for making useful and controllable machines and laid
the foundations for large-scale electronic communications.
Five
year later an inventor called Joseph
Henry - made a far more powerful version of the electromagnet.
American,
Joseph Henry (1797-1878), demonstrated the potential of Sturgeon's
device for long distance communication by sending an electronic current
over one mile of wire to activate an electromagnet which caused a bell
to strike. Thus the electric telegraph was born.
Joseph
Henry's Contributions to the Electromagnet and the Electric Motor
By
Roger Sherman
Museum Specialist, National Museum of American History
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Henry
as a young man. From miniature,
ca. 1829, attributed to Julius Rubens
Ames. Smithsonian neg. no. 69,029.
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At the beginning of his career as an
investigator of electromagnetism, in the fall of 1827, Joseph Henry took
up a simple idea, and soon found that it led him to some remarkable
results. He was starting his second academic year as Professor of
Mathematics and Natural Philosophy at the Albany Academy, a school for
boys in Albany, New York, offering instruction extending from what we
would now call elementary grades up to and overlapping with the college
level. Henry took his teaching responsibilities seriously, but he also
had an ambition to make original scientific contributions.
His first paper on electromagnetism, presented
on October 10, 1827, shows that at this early stage his research was
guided by the didactic concerns of his science classes and the
experimental demonstrations that he considered an essential element of
effective teaching.
Henry began by pointing out that the
introduction of electromagnetism as a subject of instruction had been
hampered because of the expense and awkwardness of the large batteries
and delicate apparatus needed to show the effects. Recently, however,
the English experimenter William Sturgeon had eliminated much of the
difficulty by showing that the use of strong permanent magnets allowed
many of the experiments to be done on a larger scale, and with a smaller
battery, than was previously thought possible. But some electromagnetic
experiments depend on the earth's magnetic field, or the interaction
between two current-carrying wires. For these experiments permanent
magnets could not be used, and the difficulties remained.
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Diagram of Schweigger's
multiplier.
From Journal für Chemie und
Physik 31 (Neue Reihe, Bd. I,
1821), Plate I (after p. 114), Fig. 10.
Smithsonian neg. no. 46,825.
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Here is where Henry made his first
contribution. He had read that Johann S. C. Schweigger, professor of
chemistry at the University of Halle, had invented what came to be
called a "galvanic multiplier" for augmenting the deflecting
action of an electric current on a compass needle. This effect (the
first discovery linking electricity with magnetism) had been announced
in 1820 by Hans C. Oersted. Oersted used in his experiments a single
straight wire passing close to the compass; Schweigger, a few months
later, showed that if the wire was formed into a vertical coil of
several turns around the compass, the effect would be greatly increased.
Henry, in turn, now described in his 1827 paper how Schweigger's coil
idea could be applied to other standard electromagnetic demonstration
devices to make them more sensitive or powerful. Henry's versions of
these devices embodied no new discovery, but were simply more dramatic
and effective as educational aids.
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Sturgeon's
electromagnet. From
Transactions of the Society for
the Encouragement of the Arts
43 (1824), Plate 3, Fig. 13.
Smithsonian neg. no. 46,761-D.
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His next step was to apply the coil principle
"to a development of magnetism in soft iron, much more extensively,
than to my knowledge had been previously effected by a small galvanic
element." He did this by winding an electromagnet with about 400
tight turns of a wire 35 feet long, "instead of loosely coiling
around it a few feet of wire, as is usually described." This is
probably an indirect reference to the electromagnet described by
Sturgeon, who is generally credited with its invention. Sturgeon used un
insulated wire (insulated wire for electrical use was not then
commercially available); to prevent short-circuiting of the windings, he
varnished the iron core and separated the turns of wire to keep them
from touching. The illustration of his magnet, in fact, shows only 18
loose turns. Henry insulated the wire itself with silk thread and so
could apply a large number of tight turns.
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Henry's Albany magnet. Image
copied
from old photograph, N.M.A.H. Cat. No.
181,451c. Smithsonian neg. no. 39,040.
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So far, he had not done anything really new,
but just extended and combined known principles using simple techniques.
He now saw, however, a new line of investigation opening before him: the
determination of the principles for designing powerful, efficient
electromagnets, which would develop the greatest possible lifting force
with a given small battery. Systematically he explored different methods
of winding, using various lengths of wire in various arrangements and
trying increasingly large iron cores. From these experiments Henry
discovered that if a cell of a single pair of electrodes is to be used
with a given magnet, the magnet should be wound with several coils of
wire in parallel; on the other hand, if a battery of many cells is to be
used, the magnet winding should form a single long wire. Henry was the
first person to understand this idea. It later became a fundamental
basis for much of electrical technology, and, in particular, made Samuel
F. B. Morse's telegraph feasible.
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Henry's Albany magnet with its
battery and apparatus for measuring
its strength. From Silliman's American
Journal of Science 19 (January 1831):
408. Smithsonian neg. no. 46,797-F.
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Applying this principle (together with the
valuable but less easily described practical skill in magnet-making he
had acquired in the course of his experiments), Henry, with the
assistance of a colleague, Philip Ten Eyck, went on to build a 21-pound
"experimental magnet on a large scale." With a modest battery,
this "Albany magnet" supported 750 pounds, making it, Henry
claimed, "probably, therefore, the most powerful magnet ever
constructed." Quickly he wrote a paper describing these experiments
and his magnet-winding principle, and sent it off to Benjamin Silliman,
Professor of Chemistry and Natural History at Yale College and editor of
the American Journal of Science, a widely read and influential
publication. Silliman readily accepted what he called Henry's
"highly important & interesting paper" and published it in
the issue of January 1831.
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Henry's Yale magnet, mounted in
frame constructed under Silliman's
direction. N.M.A.H. Cat. No. 181,343.
Smithsonian neg. no. 13,346.
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In addition to the paper, Henry sent Silliman
an offer to "superintend the construction for your lecture room of
a Galvanic magnet on my pla[n] which will support 1000 or 1200
lbs." Silliman agreed, and in a few months Henry built a magnet
that exceeded his own projection. This "Yale magnet" embodied
no principles not already explained in Henry's paper, but it represented
a big step beyond the Albany magnet in size and power. With a core
weighing 59 ½ pounds, it supported the unprecedented weight of 2,063
pounds. Silliman published Henry's detailed description of this latest
and most highly developed product of his magnet-building skills and in
an editor's note said of Henry, "He has the honor of having
constructed by far, the most powerful magnets that have ever been known,
and his last ... is eight times more powerful than any magnet hitherto
known in Europe."
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Yale magnet, showing windings
and conductors for connection
to the battery. N.M.A.H. Cat. No.
181,343. Smithsonian neg. no. 74-4407.
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Henry's papers on his electromagnets attracted
considerable attention. Before long requests started coming in for
magnets like the one made for Silliman. He turned down most of these but
did provide helpful practical information to his correspondents. Henry
made an exception for Parker Cleaveland of Bowdoin College, furnishing
him with a magnet similar to Silliman's while incorporating some recent
refinements of construction. In the meantime, however, having worked out
and published the fundamental principles of the design of these magnets,
he was considering the next stages of his research: "At the
conclusion of the series of experiments which I described in Silliman's
Journal, there were two applications of the electro-magnet in my mind:
one the production of a machine to be moved by electro-magnetism, and
the other the transmission of or calling into action power at a
distance."
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Henry's
oscillating electromagnet
motor. From Silliman's American
Journal of Science 20 (July 1831): 342.
Smithsonian neg. no. 46,797-E.
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In the summer of 1831 Henry described the first
of these applications in a short paper, "On a Reciprocating Motion
Produced by Magnetic Attraction and Repulsion."
It was a simple device whose moving part was a straight electromagnet
rocking on a horizontal axis. Its polarity was reversed automatically by
its motion as two pairs of wires projecting from its ends made
connections alternately with two electrochemical cells. Two vertical
permanent magnets alternately attracted and repelled the ends of the
electromagnet, making it rock back and forth at 75 vibrations per
minute.
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Reconstruction of Henry's original
oscillating electromagnet motor.
N.M.A.H. Cat. No. 244,904.
Smithsonian neg. no. 24,976-A.
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Henry at this time considered his little
machine merely a "philosophical toy," but nevertheless
believed it was important as the first demonstration of continuous
motion produced by magnetic attraction and repulsion. Furthermore,
"in the progress of discovery and invention, it is not impossible
that the same principle, or some modification of it on a more extended
scale, may hereafter be applied to some useful purpose." Indeed,
one authority has stated, "Henry's apparatus was the first
clear-cut instance of a motor capable of further mechanical development.
It had the essentials of a modern DC motor: a magnet to provide the
field, an electromagnet as armature, and a commutator to apply the
mechanical forces at the right time." Other inventors did later
develop motors of various designs based on similar reciprocating
actions, but it is not clear whether these inventors knew of Henry's
device, or created theirs independently. In any case, reciprocating
motors never became commercially successful; continuous rotary motion
proved to be a more efficient and useful principle.
In 1831 the future development and importance
of what we now call the electric motor could scarcely be foreseen. Henry
at that time was striving to build a solid reputation as an original
scientist while conscientiously discharging his teaching
responsibilities at the Albany Academy. At the start of his career, a
few years before, his research interests had been dominated by a desire
to develop effective, compelling demonstration apparatus for his
classes. His 1827 paper on extending the "galvanic multiplier"
principle, discussed above, exemplifies this motivation. Large equipment
and dramatic experimental effects, he knew from experience, attract the
attention and hold the interest of students. Certainly some of the
original motivation for the construction of his powerful electromagnets
can also be ascribed to this desire. But the process of developing those
magnets led Henry to make a real discovery, and this, along with the
magnets themselves, was beginning to make his name known in scientific
circles.
His next project, the oscillating
electromagnet, was not built on the grand scale of the large magnets.
But it, like them, exemplifies Henry's continuing desire not only to
make original discoveries, but also to embody them in the form of
didactically useful devices. And, as with his original idea for
developing the electromagnet, Henry could not leave his motor alone
after he had conceived the principle, embodied it in a working model,
and described it to the scientific community. Although he published no
more papers about it, there is ample evidence that he continued to
ponder and develop the idea after he had submitted his article to
Silliman. A few months later, for example, he wrote to Parker Cleaveland
that he had "lately improved the form of the little machine"
there described, but he gave no details of any change in the design.
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Henry's modified oscillating
electromagnet motor, at Princeton.
Smithsonian neg. no. 16,188.
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In November 1832, a year
after his letter to Cleaveland, Henry moved from Albany to the college
at Princeton, New Jersey, where he continued conducting experimental
researches whenever he could find time away from his teaching duties. In
1834, he lent the machine (apparently in its original configuration) to
another colleague, Jacob Green of Philadelphia, who wanted to use it in
a popular lecture. In their correspondence about this loan, both men
called the device the "sheep's tail," presumably referring to
the wagging motion of the projecting wires. The familiar use of such a
nickname suggests that Green and Henry had discussed the machine at some
length. In his letter to Green, Henry remarked that he was constructing
a new version "on a some what different plan" using C-shaped
magnets in place of straight ones. This promised to give "a moving
force double of that in the other plan." He also said, "Many
different forms of the instrument have suggested themselves to my
mind." It is clear that the device had become more than a mere
"philosophical toy" in Henry's imagination.
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Smithsonian replica of Henry's
Prince-
ton oscillating electromagnet motor.
N.M.A.H. Cat. No. 181,324.
Smithsonian neg. no. 29,682.
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Concrete evidence of this continuing interest
is a machine long preserved in the Princeton apparatus collection. In
its general form it is similar to Henry's 1831 invention, but it differs
in having, instead of the two vertical bar magnets under the rocking
electromagnet, a single horizontal bar magnet. With this configuration,
the ends of the electromagnet are acted on by two different magnetic
poles, north and south; in the original device both were north poles. In
consequence of this change, an ordinary electromagnet would not
oscillate--both ends would be attracted or repelled at the same time. An
apparently accurate replica of the Princeton device made for the
Smithsonian suggests that Henry accordingly wound the electromagnet in
opposite directions on its two ends--in effect, creating two
electromagnets end to end, with like poles together at the middle. No
written record of this development appears to survive; it is known to us
only through the three-dimensional evidence of the demonstration device.
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Diagram of Ritchie's revolving
electro-
magnet motor. From Ritchie, "Experimental
Researches in electro-magnetism and
magneto-electricity," Philosophical Trans-
actions 123 (1833), Plate 7 (opposite p. 316),
Fig. 2. Smithsonian neg. no. 45,393-H.
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In 1833, not long after Henry invented his
oscillating electromagnet, William Ritchie, a clergyman, educator, and
experimentalist in England, contrived a way to make an electromagnet
revolve continuously. He caused its polarity to reverse twice in each
revolution by an arrangement of wires grazing across two semicircular
troughs of mercury.
It is unlikely that Ritchie had heard of Henry's invention; he probably
devised his scheme independently. Nevertheless, when Henry heard of it,
he suspected that Ritchie had "lately reinvented my machine,"
implying that he had neglected to give Henry due credit for the idea.
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Demonstration motor according to
Ritchie's design, showing cup for
mercury commutator. N.M.A.H. Cat. No.
315,532. Smithsonian neg. no. 47,797-C.
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On several later occasions extending over
twelve years Henry went to some lengths to see that his claim was
acknowledged in published accounts on the subject, and in his notes and
correspondence he repeatedly asserted his priority. In 1840, for
example, he described to the American Philosophical Society yet another
variant of his machine. Even in the brief official note of his talk, his
pique is perceptible: "Prof. Henry described an apparatus for
producing a reciprocating motion by the repulsion in the consecutive
parts of a conductor, through which a galvanic current is passing, and
made some remarks in reference to the electromagnetic engine invented by
him in 1831, and subsequently described by Dr. Ritchie, of London."
His touchiness in this matter is an example of
a characteristic he displayed at other times in his career. The most
notable instance was his dispute with Samuel Morse about his
contributions to the electromagnetic telegraph. Like his remarks in that
dispute, Henry's expressions of concern about the credit due him for his
motor reveal his strongly held beliefs about the value of his
contributions and the importance of scrupulous fairness in scholarly
publications.
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Page's Revolving Electro-
magnet. From Daniel Davis,
Jr., Manual of Magnetism
(Boston, 1842), Fig. 71.
Smithsonian neg. no. 72-5048.
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Ritchie's device, like Henry's, was a didactic
instrument, with no practical application beyond its demonstration of
electromagnetic principles. The first manufacturer of educational
electromagnetic apparatus in the United States, Daniel Davis of Boston,
seems to have ignored Henry's machine. In his catalogue of 1838, Davis
did, however, include Ritchie's, as well as a similar device,
"Page's Revolving Magnet." In the latter, Ritchie's awkward
mercury commutator was replaced with a "pole-changer,"
identical with the present-day commutator. This device, which had
previously been used by others in somewhat different applications,
consisted of two wires, each connected to a pole of the battery, and
making contact with a pair of insulated half-cylinders on the rotating
shaft. Each half-cylinder was soldered to one end of the winding of the
electromagnet, so the polarity reversed with every half revolution.
Davis attributed this improved version of Ritchie's instrument to
Charles Grafton Page, an experimenter and prolific inventor of
electromagnetic devices, many of which Davis offered for sale. But in
his 1848 catalogue Davis changed its name to "Revolving
Electro-Magnet," probably
to acknowledge that Page did not deserve exclusive credit for it. Even
so, Page later did claim credit for it.
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Page's revolving electromagnet
(far right). Said to have belonged
to Henry. The two brushes and
binding posts are missing.
N.M.A.H. Cat. No. 181,743.
Smithsonian neg. no. 13,367.
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It is clear that all along Henry believed that
much of the honor belonged neither to Ritchie nor to Page, but to
himself. Yet whatever Henry may have felt about the lack of recognition
for his contribution to the Revolving Electro-Magnet, Davis's commercial
version of it was just the kind of impressive demonstration device that
he liked to put into action for his classes and lectures. And indeed an
example survives at the Smithsonian among a collection of apparatus said
to have once belonged to Henry. The date he acquired it is unknown. It
agrees closely with Daniel Davis's illustration in his catalogues of
1842 and 1848, however, and may have been made by Davis about that time.
It is impossible to be certain, however, because the device is not
signed, and other makers copied Davis's handsome designs.
Here in one instrument, then, are embodied the
contributions of several electrical investigators. With regard to Henry,
Ritchie, and Page, perhaps it would do justice to all three to say that
Henry was the first to show how polarity could be automatically reversed
and Ritchie the first to produce rotary motion of an electromagnet,
while Page introduced into Ritchie's device the simple and effective
"pole-changer," which remains in use today.
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2)
Magnetic Fields : History

Edmond Halley
Until
1820, the only magnetism known was that of iron magnets and
of "lodestones", natural magnets of iron-rich ore.
It was believed that the inside of the Earth was magnetized
in the same fashion, and scientists were greatly puzzled
when they found that the direction of the compass needle at
any place slowly shifted, decade by decade, suggesting a
slow variation of the Earth's magnetic field.
How
can an iron magnet produce such changes? Edmond
Halley (of comet fame)
ingeniously proposed that the Earth contained a number of
spherical shells, one inside the other, each magnetized
differently, each slowly rotating in relation to the others.

Hans
Christian Oersted
was a professor of science at
Copenhagen University. In 1820 he arranged in his home a
science demonstration to friends and students. He planned to
demonstrate the heating of a wire by an electric current,
and also to carry out demonstrations of magnetism, for which
he provided a compass needle mounted on a wooden stand.
While
performing his electric demonstration, Oersted noted to his
surprise that every time the electric current was switched
on, the compass needle moved. He kept quiet and finished the
demonstrations, but in the months that followed worked hard
trying to make sense out of the new phenomenon.

But he
couldn't! The needle was neither attracted to the wire nor
repelled from it. Instead, it tended to stand at right
angles (see drawing right). In the end he published his
findings (in Latin!) without any explanation.
Andre-Marie
Ampere
in France felt that if a current in a wire exerted a
magnetic force on a compass needle, two such wires also
should interact magnetically. In a series of ingenious
experiments he showed that this interaction was simple and
fundamental--parallel (straight) currents attract,
anti-parallel currents repel. The force between two long
straight parallel currents was inversely proportional to the
distance between them and proportional to the intensity of
the current flowing in each.
Maxwell
There
thus existed two kinds of forces associated with
electricity--electric and magnetic. In 1864, James Clerk
Maxwell demonstrated a subtle connection between the two
types of force, unexpectedly involving the velocity of
light. From this connection sprang the idea that light was
an electric phenomenon, the discovery of radio waves, the
theory of relativity and a great deal of present-day
physics.
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3)
Electricity
- Electronics
Electricity
is a form of energy.
Electricity
is the flow of electrons. All matter is made up
of atoms, and an atom has a center, called a
nucleus. The nucleus contains positively charged
particles called protons and uncharged particles
called neutrons. The nucleus of an atom is
surrounded by negatively charged particles
called electrons. The negative charge of an
electron is equal to the positive charge of a
proton, and the number of electrons in an atom
is usually equal to the number of protons. When
the balancing force between protons and
electrons is upset by an outside force, an atom
may gain or lose an electron. When electrons are
"lost" from an atom, the free movement
of these electrons constitutes an electric
current.
Electricity
is a basic part of nature and it is one of our
most widely used forms of energy. We get
electricity, which is a secondary energy source,
from the conversion of other sources of energy,
like coal, natural gas, oil, nuclear power and
other natural sources, which are called primary
sources. Many cities and towns were built
alongside waterfalls (a primary source of
mechanical energy) that turned water wheels to
perform work. Before electricity generation
began slightly over 100 years ago, houses were
lit with kerosene lamps, food was cooled in
iceboxes, and rooms were warmed by wood-burning
or coal-burning stoves. Beginning with Benjamin
Franklin's experiment
with a kite one stormy night in Philadelphia,
the principles of electricity gradually became
understood. In the mid-1800s, everyone's life
changed with the invention of the electric Light
bulb. Prior to
1879, electricity had been used in arc lights
for outdoor lighting. The light bulb's invention
used electricity to bring indoor lighting to our
homes.
Theory
An
electric generator (Long ago, a machine that
generated electricity was named
"dynamo" today's preferred term is
"generator".) is a device for
converting mechanical energy into electrical
energy. The process is based on the relationship
between magnetism
and electricity
. When a wire or any other electrically
conductive material moves across a magnetic
field, an electric current occurs in the wire.
The large generators used by the electric
utility industry have a stationary conductor. A
magnet attached to the end of a rotating shaft
is positioned inside a stationary conducting
ring that is wrapped with a long, continuous
piece of wire. When the magnet rotates, it
induces a small electric current in each section
of wire as it passes. Each section of wire
constitutes a small, separate electric
conductor. All the small currents of individual
sections add up to one current of considerable
size. This current is what is used for electric
power.
An
electric utility power station uses either a
turbine, engine, water wheel, or other similar
machine to drive an electric generator or a
device that converts mechanical or chemical
energy to electricity. Steam turbines,
internal-combustion engines, gas combustion
turbines, water turbines, and wind turbines are
the most common methods to generate
electricity.
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HOW
IS ELECTRICITY MEASURED?
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Electricity
is measured in units of power called watts. It
was named to honor James
Watt, the
inventor of the Steam engine.
One watt is a very small amount of power. It
would require nearly 750 watts to equal one
horsepower. A kilowatt represents 1,000 watts. A
kilowatt-hour (kWh) is equal to the energy of
1,000 watts working for one hour. The amount of
electricity a power plant generates or a
customer uses over a period of time is measured
in kilowatt hours (kWh). Kilowatt hours are
determined by multiplying the number of kW's
required by the number of hours of use. For
example, if you use a 40-watt light bulb 5 hours
a day, you have used 200 watts of power, or .2
kilowatt hours of electrical energy.
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4)
Induction
and Inductance
Induction
In
1824 Oersted discovered that current
passing though a coil created a magnetic
field
capable of shifting a compass needle.
Seven years later Faraday
and Henry
discovered just the opposite. They noticed
that a moving magnetic field would induce
current in an electrical conductor. This
process of generating electrical current
in a conductor by placing the conductor in
a changing magnetic field is called electromagnetic
induction or
just induction.
It is called induction because the current
is said to be induced in the conductor by
the magnetic field.
Faraday also
noticed that the rate at which the
magnetic field changed also had an effect
on the amount of current or voltage that
was induced. Faraday's
Law for
an uncoiled conductor states that the
amount of induced voltage is proportional
to the rate of change of flux lines
cutting the conductor. Faraday's Law for a
straight wire is shown below.
Where:
VL
= the induced voltage in volts
dø/dt = the rate of change in magnetic
flux in webers/second
Induction is
measured in unit of Henries
(H) which
reflects this dependence on the rate of
change of the magnetic field. One henry is
the amount of inductance that is required
to generate one volt of induced voltage
when the current is changing at the rate
of one ampere per second. Note that
current is used in the definition rather
than magnetic field. This is because
current can be used to generate the
magnetic field and is easier to measure
and control than magnetic flux..
Inductance
When
induction occurs in an electrical circuit
and affects the flow of electricity it is
called inductance,
L. Self-inductance,
or simply inductance
is the property of a circuit whereby a
change in current causes a change in
voltage in the same circuit. When one
circuit induces current flow in a second
nearby circuit, it is known as mutual-inductance.
The image to the right shows an example of
mutual-inductance. When an AC current is
flowing through a piece of wire in a
circuit, an electromagnetic field is
produced that is constantly growing and
shrinking and changing direction due to
the constantly changing current in the
wire. This changing magnetic field will
induce electrical current in another wire
or circuit that is brought close to the
wire in the primary circuit. The current
in the second wire will also be AC and in
fact will look very similar to the current
flowing in the first wire. An electrical
transformer uses inductance to change the
voltage of electricity into a more useful
level. In nondestructive testing,
inductance is used to generate eddy
currents in the test piece.
It should be
noted that since it is the changing
magnetic field that is responsible for
inductance, it is only present in AC
circuits and that high frequency AC will
result in greater inductive reactance
since the magnetic field is changing more
rapidly.
5)
Self-Inductance
and Inductive Reactance
The property of
self-inductance is a particular form of
electromagnetic induction. Self-
inductance is defined as the induction of
a voltage in a current-carrying wire when
the current in the wire itself is
changing. In the case of self-inductance,
the magnetic field created by a changing
current in the circuit itself induces a
voltage in the same circuit. Therefore,
the voltage is self-induced.
The term inductor
is used to describe a circuit element
possessing the property of inductance and
a coil of wire is a very common inductor.
In circuit diagrams, a coil or wire is
usually used to indicate an inductive
component. Taking a closer look at a coil
will help understand the reason that a
voltage is induced in a wire carrying a
changing current. The alternating current
running through the coil creates a
magnetic field in and around the coil that
is increasing and decreasing as the
current changes. The magnetic field forms
concentric loops that surrounds the wire
and joins up to form larger loops that
surround the coil as shown in the image
below. When the current increases in one
loop the expanding magnetic field will cut
across some or all of the neighboring
loops of wire, inducing a voltage in these
loops. This causes a voltage to be induced
in the coil when the current is changing.
By studying this
image of a coil, it can be seen that the
number of turns in the coil will have an
effect on the amount of voltage that is
induced into the circuit. Increasing the
number of turns or the rate of change of
magnetic flux increases the amount of
induced voltage. Therefore, Faraday's
Law must be modified for a coil of
wire and becomes the following.
Where:
VL
= the induced voltage in volts
N = the number of turns in the coil
dø/dt = the rate of change in magnetic
flux in webers per second
The equation
simply states that the amount of induced
voltage (VL)
is proportional to the number of turns in
the coil and the rate of change of the
magnetic flux (dø/dt). In other words,
when the frequency of the flux is
increased or the number of turns in the
coil is increased, the amount of induced
voltage will also increase.
In a circuit, it
is much easier to measure current than it
is to measure magnetic flux so the
following equation can be used to
determine the induced voltage if the
inductance and frequency of the current
are known. This equation can also be
reorganized to allow the inductance to be
calculated when the amount of inducted
voltage can be determined and the current
frequency is known.

Where:
VL
= the induced voltage in volts
L = the value of inductance in henries
di/dt = the rate of change in current in
amperes per second
Lenz's
Law
Soon after
Faraday proposed his law of induction,
Heinrich Lenz developed a rule for
determining the direction of the induced
current in a loop. Basically, Lenz's
law states that
an induced current has a direction such
that its magnetic field opposes the change
in magnetic field that induced the current.
This means that the current induced in a
conductor will oppose the change in
current that is causing the flux to
change. Lenz's law is important in
understanding the property of inductive
reactance, which is one of the properties
measured in eddy current testing.
Inductive
Reactance
The reduction of
current flow in a circuit due to induction
is called inductive
reactance.
It should be
noted that inductive reactance will
increase if the number of winds in the
coil is increased since the magnetic field
from one coil will have more coils to
interact with.
Since inductive
reactance reduces the flow of current in a
circuit, it appears as an energy loss just
like resistance. However, it is possible
to distinguish between resistance and
inductive reactance in a circuit by
looking at the timing between the sine
waves of the voltage and current of the
alternating current. In an AC circuit that
contains only resistive components, the
voltage and the current will be in-phase,
meaning that the peaks and valleys of
their sine waves will occur at the same
time. When there is inductive reactance
present in the circuit, the phase of the
current will be shifted so that its peaks
and valleys do not occur at the same time
as those of the voltage. This will be
discussed in more detail in the section on
circuits.
6)
Mutual
Inductance
(The Basis for Eddy Current
Inspection)
The magnetic flax
through a circuit can be related to the
current in that circuit and the currents
in other nearby circuits, assuming that
there are no nearby permanent magnets.
Consider the following two circuits.
The magnetic
field produced by circuit 1 will intersect
the wire in circuit 2 and create current
flow. The induced current flow in circuit
2 will have its own magnetic field which
will interact with the magnetic field of
circuit 1. At some point P on the magnetic
field consists of a part due to
i1
and a part due to i2.
These fields are proportional to the
currents producing them.
Self
Inductance:
The
property of an electric circuit or
component that caused an e.m.f. to be
generated in it as a result of a change in
the current flowing through the circuit.
Mutual
Inductance:
The
property of an electric circuit or
component that caused an e.m.f. to be
generated in it as a result of a change in
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