nikola tesla the man and his coil by matthew gebben, 35p

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Nikola Tesla: The Man and His Coil By Matthew Gebben Throughout history there have been many people who have made their mark by contributing to humanity’s advancement. Many of these people have been largely forgotten, while some went on to become legends. Scientists such as Newton and Einstein, and inventors like Edison, rose to fame through their achievements. One man, whose work has faded from the minds of many today, managed to accomplish more in the creation of the modern world than most. Nikola Tesla, an inventor and scientist born in the Victorian age, was a star in his time. He transformed the world, giving companies the technology to send electricity to every corner of the world through the invention of efficient alternating current systems. In order to understand this man and his creations more, a thorough investigation into his life and inventions, especially his famous coil, is needed. Early Life Born in 1856 in Smiljam, Croatia, Nikola Tesla would grow up in a rural environment. With a father in the church, a mother who worked the fields, and four siblings, Tesla had an eventful childhood. He began to invent at an early age, creating such devices as paddle-less waterwheels and motors driven by insects. 1 Much like his mother, Tesla also showed signs of possessing great memory; his parents emphasized improving memory and performing mental calculations. Tesla was also a voracious reader, learning many skills in the process. Tesla’s childhood was not without tragedy, however. At the age of five, Tesla’s brother, Daniel, died in an accident which remains shrouded in mystery. This event would affect Tesla for the rest of his life, and it is

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Page 1: Nikola tesla   the man and his coil by matthew gebben, 35p

Nikola Tesla: The Man and His Coil By Matthew Gebben

Throughout history there have been many people who have made their mark by

contributing to humanity’s advancement. Many of these people have been largely

forgotten, while some went on to become legends. Scientists such as Newton and

Einstein, and inventors like Edison, rose to fame through their achievements. One man,

whose work has faded from the minds of many today, managed to accomplish more in

the creation of the modern world than most. Nikola Tesla, an inventor and scientist born

in the Victorian age, was a star in his time. He transformed the world, giving companies

the technology to send electricity to every corner of the world through the invention of

efficient alternating current systems. In order to understand this man and his creations

more, a thorough investigation into his life and inventions, especially his famous coil, is

needed.

Early Life

Born in 1856 in Smiljam, Croatia, Nikola Tesla would grow up in a rural

environment. With a father in the church, a mother who worked the fields, and four

siblings, Tesla had an eventful childhood. He began to invent at an early age, creating

such devices as paddle-less waterwheels and motors driven by insects.1 Much like his

mother, Tesla also showed signs of possessing great memory; his parents emphasized

improving memory and performing mental calculations. Tesla was also a voracious

reader, learning many skills in the process. Tesla’s childhood was not without tragedy,

however.

At the age of five, Tesla’s brother, Daniel, died in an accident which remains

shrouded in mystery. This event would affect Tesla for the rest of his life, and it is

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possible that several of his unusual habits may have had their roots there.2 His obsessive

compulsive behavior included such things as counting his steps, calculating the volume

of what he ate, and favoring “numbers divisible by three.”3 Tesla would also develop

several phobias, including a fear of bacteria. Reflecting on his own childhood, Tesla

would later make several claims that did much to encourage a sort of cult following after

his death.

Tesla would claim to have seen visions of objects along with bright flashes of

light.4 Tesla’s claims, which also include superhuman hearing, among other things,

invited people to make bizarre theories on his nature. These theories ranged from Tesla

being a psychic to him being a Venusian who came to Earth.5 These strange conjectures

should in no way diminish Tesla’s true accomplishments, however. Tesla’s childhood

continued fairly normally, despite his supposed afflictions.

In his late teens, Tesla began to earnestly take interest in invention. Using his

excellent memory and visualization skills, Tesla would create and test ideas in his mind

before actually producing anything physical. Tesla’s mathematical ability also became

evident in school. Despite several bouts of illness, Tesla worked through his education

and enrolled in the Austrian Polytechnic School. His life there was quite different from

home.6

Tesla Emerging Genius and his Motor

Tesla was a very studious person. Studying much of the day, Tesla was

determined to make the most of his time at the school. His second year brought hardship,

however. The scholarship, which allowed him to live comfortably the year before had

been taken away, so Tesla had less than a year to stay. During this time, Tesla had plenty

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of exposure to electrical equipment. One such experience is especially noteworthy.

“When one day there arrived from Paris a direct-current apparatus called a Gramme

Machine that could be used both as a motor and a dynamo, Tesla examined the machine

intently, feeling a strange excitement. It had a wire-wound armature with a commutator.

While operating, it sparked badly, and Tesla brashly suggested to Professor Poeschl that

the design might be improved by dispensing with the commutator and by switching to

alternating current.”7 (It should be noted that a commutator is a mechanical solution to

making direct current motors. Basically, in order for the motor to generate continuous

motion in one direction, the current had to be “mechanically switched to run first one way

and then the other.”8) Although the professor thought such a feat impossible, Tesla

would later go on to prove him wrong. Despite excelling at the school, Tesla’s financial

situation, not helped by his gambling, forced him to leave. Tesla would continue

studying on his own, with the problem of the alternating current motor staying in his

mind.

Tesla studied in Prague until he was twenty-four years old. During his studies, he

had to leave once when his father passed away in 1879. Then, in 1881, Tesla moved to

Budapest and secured a job at the new telegraph office. It was here that he would have

his revelation. While exercising with a friend, the design for the new motor was

suddenly realized. “Tesla’s long, waving arms froze in midair as if he had been seized

with a fit. Szigety, alarmed, tried to lead him to a bench, but Tesla would not sit until he

had found a stick. He then began to draw a diagram in the dust.”9 This would be the

revolutionary motor that would change the world.

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The basic idea behind a motor is to send an electrical current through some wires

to create a magnetic field. Then the magnetized part, the rotor, will move to align itself,

giving the desired motion. A direct current (DC) motor must have to have something (the

commuatator) to physically change the magnetic field; otherwise, the rotor would simply

align itself and stop moving. Alternating current (AC) presents the challenge of a current

that is also changing back and forth in direction, making smooth, one-directional motion

difficult. By using more than one alternating current, Tesla realized he could create a

rotating magnetic field. This was done in an ingenious way. By using four coils in a

circle (for two currents), each ninety degrees from the other, and by attaching each

diametrically opposed pair to the same current (so that each pair operates on a different

current) the rotor would continuously move about as the magnetic fields from the coils

changed.10 This design is outlined in the following figure provided by

“http://www.allaboutcircuits.com/vol_2/chpt_13/7.html”.

Figure 1. Tesla’s Alternating Current Motor. (Note the four coils positioned at twelve, three, six, and nine o’ clock. These create the rotating magnetic field mentioned before.)

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By expanding upon this concept, Tesla would have a great many designs.

Tesla’s First Professional Experiences

Although Tesla had the full design in his mind, he built no working model at first.

Instead, he continued to explore the concept and would think up many other useful

inventions in the following months. “He conceived of such practical alternating-current

motors as polyphase induction, split-phase induction, and polyphase synchronous, as well

as the whole polyphase and single-phase motor system for generating, transmitting, and

utilizing electrical current.”11 Nevertheless, Tesla had no means of building any of his

ideas; thus, he returned his attention to his work at the telegraph office. However, Tesla

was soon recommended to the Continental Edison Company in Paris. In 1882, Tesla

would find himself working for this company, and he was on his way as an inventor.

Tesla performed well at his new job, but frustration with his superiors caused him

to resign and emigrate to the United States. At the time, America was the center of the

electric revolution; Thomas Edison was busy spreading his direct current system and light

bulbs across the nation. Tesla wasted no time in going to work for the famous inventor.

Although Tesla was an excellent employee, the two men were fated to duel in one of the

greatest scientific and industrial competitions of the modern era. Once again, Tesla

would resign, but this time he would push forward on his own.

Tesla’s first attempt at business was a failure. The Tesla Electric Light Company

was created in the middle of a national financial crisis, so it came as no surprise when

Tesla was forced to move on. Working as a laborer, Tesla still managed to conceive of

new ideas. This inventiveness would help him greatly; soon Tesla attracted the attention

of “A.K. Brown, manager of the Western Union Telegraph Company.”12 Mr. Brown was

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interested in Tesla’s dream of AC power, and he soon helped Tesla found the Tesla

Electric Company in 1887. Now Tesla would be able to show the world what he could

really do.

Tesla soon set to work filing patents for his new AC system. He was very

thorough about it, too. He filed patents for “the entire polyphase AC system. This was in

fact three complete systems for single-phase, two-phase, and three-phase alternating

currents. He experimented with other kinds too. And for each type he produced the

necessary dynamos, motors, transformers, and automatic controls.”13 These systems are

still in use today. The two-phase and three-phase systems simply have multiple

oscillating signals at the same time, as shown in the following figures.

Figure 2. The graph on the picture’s right shows a two-phase signal with a 90 degree phase difference. (http://en.wikipedia.org/wiki/Two_phase)

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Figure 3. A three-phase signal with what appears to be a 120 degree phase difference. (http://en.wikipedia.org/wiki/Three_phase) Despite the innovations he had created, Tesla had yet to find a means to push AC as a

viable power source. Many were against AC because they had already invested in their

own DC systems. One company did have an interest in AC, however.

A Great Partnership and the Competition for a New Market

George Westinghouse’s company had also entered the electric power market, and

they had decided to go with AC. Although their operations expanded quickly enough,

Westinghouse needed to make his system more effective. It was at this time that Tesla

began to receive recognition. Tesla’s activity filing patents caught the attention of the

American Institute of Electrical Engineers, and he gave a well-received lecture to them

on May 16, 1888.14 Hearing of this, Westinghouse went to pay a visit to the inventor.

Tesla and Westinghouse got along with each other quite well. Tesla’s AC system

must have seriously impressed Westinghouse; he made Tesla an excellent business deal.

“…for his forty patents Tesla received about $60,000 from the Westinghouse firm, which

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included $5,000 in cash and 150 shares of stock. Significantly, however, according to

Westinghouse historical records, he was to earn $2.50 per horsepower of electricity

sold.”15 Tesla would then go to work for Westinghouse, although he did not exactly get

along with the engineers; it took some effort to convince the engineers to use sixty cycles

per second (Hertz) as the frequency (60Hz was the frequency for which Tesla’s motor

had been designed). The other AC systems of the period were designed for 25, 30, or 50

Hz. With the nation’s economic crisis over, companies were looking to expand and the

“war of the currents” began in earnest.

Not wanting to lose business, Edison began to launch attacks on AC. Edison

proclaimed AC to be too dangerous, and set about distributing flyers highlighting this. In

addition, Edison collected animals from the neighborhood to electrocute with AC; rather

than say the animals were electrocuted, he used the phrase “Westinghoused.”16 Edison’s

campaign also managed to introduce the electric chair as a means of execution, using AC,

of course. Westinghouse launched a counter-campaign to educate the public, but, luckily

for them, Edison would soon have other matters to worry about. The Edison Electric

Company and the Thomson-Houston Company, a business under the control of J.P.

Morgan, merged in 1892 to form the General Electric Company. Unfortunately, Morgan

was about to make an attempt to take control of Westinghouse’s company.

Westinghouse’s determination to fight would have lasting consequences for Tesla.

Westinghouse was in a position of weakness against Morgan’s empire of banks,

railroads, and manufacturing firms. Morgan’s financial clout made the takeover seem

inevitable, but Westinghouse merged his company with several others to form the

Westinghouse Electric and Manufacturing Company. This was not enough, however;

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some other way to stay afloat had to be devised. The deal Westinghouse made with Tesla

now came back to haunt him.

With the expansion of his business, Westinghouse had made an error. He now

owed massive royalties to Tesla due to their contract. Tesla could become an incredibly

wealthy man, but then Westinghouse could not compete with Morgan. Westinghouse had

to find a way out of paying the royalties, so he confronted Tesla with the problem. Tesla,

who wanted his system to succeed, had no problem with helping his friend. Tesla said to

Westinghouse, “You will save your company so that you can develop my inventions.

Here is your contract and here is my contract – I will tear both of them to pieces, and you

will no longer have any troubles from my royalties.”17 This act of generosity not only

saved Westinghouse, but it also doomed Tesla to later having financial problems of his

own. Whether or not Tesla considered the possible outcomes of renouncing his royalties

is unknown, as he was busy performing new experiments.

New Horizons

In his lectures, Tesla would demonstrate the products of his new research. He

often displayed his new lamps, many of which were glass containers filled with gas.

These were “the forerunners of today’s fluorescent lights.”18 Tesla had also begun to

discuss the possibility of sending power through the air or drawing it out of nowhere.

These ideas would prove to be some of the inventor’s more controversial thoughts.

However, Tesla also introduced his carbon-button lamp during these demonstrations.

The carbon-button lamp was a relatively simple device. It consisted of a partially

evacuated glass bulb with a small ball of “refractory material” in the center. The ball, or

button, was suspended there with the wire which would supply electricity. The whole

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lamp, once sealed, would be supplied with high frequency electricity. The molecules of

gas left in the bulb would fly away from the button, but would be repelled back by the

glass walls. These molecules would bombard the button, heating it, and the process

would repeat. The bulb is said to have burned very brightly, and the button would often

get so hot that it would be destroyed. Tesla tested different materials for use as the

button, and carborundum (aluminum oxide) lasted the longest. Tesla stated in an address

to the American Institute of Electrical Engineers that this lamp was very efficient.19

Tesla had indeed begun work on many projects other than motors.

Tesla built many other notable inventions during this time. One of these, perhaps

his most famous, was the Tesla coil. This device is simply “an air-core transformer with

primary and secondary coils tuned to resonate – a step-up transformer which converts

relatively low-voltage high current to high-voltage low current at high frequencies.”20

Because this is such a famous invention, a full discussion of its details will be left until

Tesla’s life has been adequately covered. Although Tesla worked on many subjects

during the 1880s, the 1890s would prove to be just as productive, if not more so.

The 1890s began with Tesla putting everything aside and returning to Croatia.

His mother was dying, and Tesla was greatly affected. After her death, Tesla was sick

for quite some time. Nevertheless, Tesla resumed his scientific explorations upon

recovering. Tesla, who had taken an interest in using electromagnetic waves, gave a

series of demonstrations in 1893 not only detailing but also testing radio

communication.21 Tesla was making ground-breaking contributions to radio years before

the traditionally accepted inventor of radio, Marchese Guglielmo Marconi, demonstrated

his system. As later court cases would show, the title of inventor of radio would be hotly

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contested for years to come. However, as these problems had not yet presented

themselves, Tesla had to turn his attention to other concerns.

Success and Disaster

A major success came for Westinghouse and Tesla at the 1893 Chicago World’s

Fair. The whole fair was supplied with power using Tesla’s AC system, and became a

windfall for Tesla and Westinghouse. Westinghouse was able to gain people’s

confidence by lighting up the fair and showing the safety of AC. Tesla was able to see

his system make an excellent impression on the visitors and had a chance to display his

other inventions. The fair was incredibly successful, and it heralded a new age of

technological progress. By this time, Tesla had become very famous, and the inventor

would soon enjoy the fruits of his success.

At the time, the Waldorf-Astoria Hotel was where all of the movers and shakers

would gather to socialize after work. Tesla, who enjoyed having as high class a life as

possible, often went there to mingle with the rich and famous. The great opportunity

these gatherings afforded was the chance to find financiers. Tesla was also able to

increase his fame through his encounters with others, especially the press. Tesla seemed

to have affected many people, as there are quite a few letters people wrote admiringly

describing the inventor. Despite keeping up a good social image, Tesla devoted himself

more to his work than to other people.

Tesla had been making progress with his radio experimentation, but this was to be

soon eclipsed. In late 1893, Tesla was informed by Westinghouse that the power of

Niagara Falls was to be harnessed to supply electricity, and it would use Tesla’s

alternating current system. Although Westinghouse was not totally in charge of the

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project – General Motors would construct the power lines – Tesla’s AC system was

agreed upon by all involved.22 The Niagara project proved to be very successful, and

there is a large statue of Tesla at Niagara Falls to this very day. With the Niagara project

going smoothly, Tesla returned to his New York laboratory.

Hoping to make further progress towards his goal of wirelessly transmitting

energy, Tesla began to use higher and higher voltages. Using a modified coil he had

built, Tesla was able to get roughly one million volts.23 Occupied with testing new

inventions and contemplating his various theories, Tesla could not have been more

content. However, this happiness was not to last. In early 1895, Tesla’s laboratory

burned to the ground, destroying everything he had been working on. The fire’s source

was never really identified, but it was theorized that Tesla’s investigation into the

production of liquid oxygen may have been a factor.24 Now Tesla had to start over again.

A Fresh Start

Tesla’s fame helped him a great deal now; capital came in quickly, and the

inventor quickly set to work preparing a new laboratory. With the discovery of X-rays

announced, Tesla began his own investigation. At the time, the danger posed by

overexposure to the rays was unknown, and Tesla learned first-hand that safety measures

had to be taken. Both Tesla and an assistant were injured, although the assistant suffered

the most; he was standing very close to the emitting source for five minutes.25 This

accident was just one of many that Tesla would be lucky to survive. For instance, in

1896 Tesla received a shock of roughly 3.5 million volts at a low current.26 Tesla’s drive

to achieve higher and higher potentials would mean this would not be an isolated

incident.

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Continuing his research, Tesla pushed his radio technology to new heights. Soon

he was able to transmit and receive over reasonably distances of a few miles. In 1898,

Tesla both received a patent for and tested a remote control boat.27 Not content with the

current technology, Tesla once again pursued the wireless transmission of power. His

announcements to the press would seem terribly premature today; Tesla’s statements

often made it sound like a great discovery had been made, when, in fact, nothing concrete

had been produced. This showmanship by Tesla not only increased his fame and helped

to acquire financial support, but would also later on work against him.

One excellent example of this exaggeration was the infamous earthquake

machine. Tesla had long theorized that if one sent a wave through some substance (by

hitting it, for example), energy could be slowly added by tapping it exactly when the

wave came back to the point of origin. This theory was blown out of proportion by Tesla

himself when he claimed to have used one of his mechanical oscillators to cause an

earthquake. Supposedly, he attached the oscillator to a pillar in his laboratory and the

vibrations went into the bedrock. According to Tesla, the vibrations were amplified each

time the wave returned to the oscillator, and eventually a small earthquake occurred.

There is no proof that this ever happen, but the myth persisted (no doubt Tesla helped: he

claimed the same principle could be used to shatter the Earth itself).28 This story was put

to the test on a Discovery Channel show called Mythbusters.29 In this program,

oscillators which performed the same function as Tesla’s design were used to try and get

a bar of steel to sway violently. The mechanical oscillators seemed to be too imprecise,

but an electromagnetic linear motor (it has a bar that moves straight back and forth) got a

reaction. Able to tune the frequency with precision in the hundredths of a hertz, the bar

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of steel did indeed begin to vibrate violently at a certain frequency. When attached to a

unused bridge, not much happened until another specific frequency was reached. Then

vibrations could be felt throughout the structure, but nothing like Tesla claimed. Even if

Tesla was exaggerating, the theory manages to hold some weight. In between

increasingly incredible announcements, Tesla was still busy putting out noteworthy work.

Around the turn of the century, Tesla was still busy with his remote control

vehicles. Nevertheless, progress in other fields was made. Fascinating examples of this

can be found in patents 723,188 and 725,605. The patents actually were useful long after

Tesla’s death. “Their [Brattain, Bardeen, and Shockley] patents and the Tesla patents

were both directed at applications in the communications field, he [Leland Anderson]

notes. Both patents are combined to produced the physical embodiment of a solid-state

AND gate.”30 The AND gate is just one of the logic gates so important to the operation

of computers today. Even with successes such as these, Tesla’s desire to pursue radio

and the wireless transmission of electricity drove him to seek new grounds in which to

work.

Colorado Springs

In 1899, seeking higher voltages and more space, Tesla arrived in Colorado

Springs. Working outside of town, Tesla constructed a special laboratory where he could

carry out experiments at very high voltages. Luckily for Tesla, power would be free:

Leonard Curtis, the man who suggested Colorado Springs to the inventor, had invested in

the local power plant.31 The new lab had an antenna-like mast coming out the top, with a

metal ball topping it (something like the top of a giant Tesla coil). This building would

house the magnifying transmitter.

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The magnifying transmitter seems to have been a large, modified Tesla coil.

What was special about this was the secondary coil. Tesla told Electrical Experimenter

that the secondary coil’s area was very large and its parts were “arranged in space along

ideal enveloping surfaces of very large radii of curvature, and at proper distances from

one another thereby insuring a small electric surface density everywhere so that no leak

can occur even if the conductors are bare.”32 In other words, Tesla avoided discharges

from the surface by increasing the area and thus decreasing the surface density of

electricity. Tesla said in the same article that either high voltage or current were possible,

but not both. He also stated that any frequency would work, and that the “tension,” or

voltage, only depended on “the curvature of the surfaces on which the charged elements

are situated are the area of the latter.”33 The whole system was designed to effectively

interact with the “globe” (Whether this refers to the Earth or the ball on the antenna is

difficult to determine considering the context). With this massive device, Tesla hoped to

push the envelope of projecting electrical power.

The magnifying transmitter appears to have been quite powerful. It seems that the

device created thunder from its long sparks and imparted an electrical charge to the

ground that could be felt easily. Expanding the facility’s capabilities, Tesla prepared to

make a high voltage, high current test. The test was impressive: very long sparks jumped

from the antenna’s top, and the thunder could be heard fifteen miles away.34 However,

the test was abruptly cut short by a power failure; the local power plant’s generator had

failed catastrophically. After helping to restore the generator, Tesla continued his

experiments in Colorado Springs. Indeed, his endeavors attracted a great deal of

attention, much to his annoyance.

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Tesla, in order to be more secretive, had boarded up the window. This, in

addition to Tesla’s ill-advised decision to use a spring to make the main switch easier to

close, would lead to another of Tesla’s close calls. While working alone with a very

large coil, the spring mechanism failed, closing the circuit. Tesla was forced to dive to

the floor and crawl to the switch as electrical streamers filled the room. By the time he

opened the switch the building was burning. He was lucky to have been able to

extinguish the blaze. Even with events such as this, Tesla had reached new heights.35

In Colorado Springs, Tesla’s records show that 12 million volts and 1100 amperes

had been the highest voltage and current he reached. It also appears that ball lightning

may have been formed by some of the coils, and the radio receiver he built was quite

powerful for the time. However, Tesla’s dream of transmitting electrical power never got

too far. Although he believed he had made great progress, the idea would not get much

further. In 1900, Tesla moved to New York, and began work on what would result in his

greatest financial mistake.36

The Beginning of the End

Hoping to create a worldwide radio system, Tesla set about looking for capital.

He was not having much success until J. Pierpont Morgan agreed to fund the project. In

order to build a broadcasting station on the East Coast, Tesla bought an area of land on

Long Island. There he built a famous tower which became the symbol of the place Tesla

called Wardenclyffe. This 187 foot tower would act as a massive antenna. However, as

the equipment started to come in, Marconi, using one of Tesla’s patents and a station on

Cape Cod, sent a signal across the Atlantic Ocean; it appeared that Marconi was going to

profit by using technology he had no permission to use. Marconi’s growing fame made

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Wardenclyffe’s increasing cost even more frustrating. Quickly running out of money,

Tesla again petitioned Morgan but found the financier uninterested. Despite Tesla’s

technical successes, Morgan lost interest and the money began to run out. By 1906,

Wardenclyffe’s fate was assured, and work soon stopped. The site fell into disrepair and

was finally sold in 1915.37 Tesla’s fortunes would never be the same again.

Tesla’s misfortune seemed to be growing rapidly. His fame made him many

enemies within the scientific community, and financiers were noticing a history of

unprofitable projects and wild claims. Along with this, the credit for who invented radio

increasingly appeared in jeopardy. Marconi, with his financial success, managed to get a

patent on his wireless system. For decades, Marconi maintained his position as the

inventor of radio, but not without controversy. Many lawsuits contested this claim,

including one by Tesla in 1915. Tesla’s enemies were quick to defend Marconi, but the

credit would not stay with them forever. In 1943, only months after Tesla’s death,

Marconi’s patent was revoked by the US Supreme Court. Although Tesla would finally

get the credit he deserved, he would not live to see it.38 Tesla would simply have to

persevere with what he could get.

Tesla had been affected by the misfortunes that plagued him. Some of Tesla’s

more unusual and unflattering traits became more prominent. His habit of showing off to

the press became more irresponsible. “Tesla would advance scientific claims recklessly,

discussing them with reporters fresh from the moment of inspiration with subjecting his

ideas either to experimental verification or even much reflection.”39 Needless to say, his

credibility suffered as a result. Tesla’s self-promoting may have been an attempt to

attract the attention of financiers, but its success is debatable. Tesla also picked up the

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unusual habit of taking care of hurt pigeons, a habit that would be with him for the rest of

his life. Following attacks on his reputation or his inventions, Tesla also became more

aggressive in defending himself. Tesla’s creative genius had not dried up, however.

Fleeting Optimism

By 1906, Tesla had a new invention with which he hoped to achieve financial

success. This was the bladeless turbine, and, over the next few years, Tesla would

develop it into an effective machine. The idea was fairly simple: send a high pressure gas

between a set of disks. The material moving through would sort of stick to the surface of

the disk to get it to move. Ordinarily this would be an ineffective way to drive anything,

as most of the material would be too far from the surface, taking the path of least

resistance. Tesla realized that by spacing the disks closer together efficiency could be

increased.40 This turbine had the great advantage of simplicity. Thus Tesla set about

promoting the new invention and began to court possible investors and buyers.

During the first few years of the 1910s, Tesla had some successes with his

turbine. He had been able to interest several different European nations in licensing the

machine, including Belgium, from which Tesla received $10,000.41 Despite a few

successes, Tesla remained far short of the funds he needed and began to petition J.P.

Morgan, who had inherited his late father’s (J. Pierpont Morgan) business. This proved

to be not only unsuccessful, but harmful, as Morgan took the opportunity to bill Tesla for

the previous loan’s interest. Tesla continued to have bad luck, but in 1915 something

happened to offer hope for the future.

In 1915, the New York Times reported that the Nobel Prize in physics would be

shared by Tesla and Edison. Although surprised, Tesla speculated to reporters about

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what discovery of his might have led to this honor. Soon, the news had spread across the

United States, and things were looking up for Tesla. However, the whole situation was

an illusion. The newspapers had been premature in their announcement of the winners,

and the prize would, in fact, not go to either Tesla or Edison. The recipients would be

William Henry Bragg and his son for discovering the structure of crystals.42 The

circumstances behind the rumor were never fully known, but the whole event must have

seemed cruel to Tesla. His predicament continued to worsen.

Tesla’s Final Years

Tesla’s turbine would also prove to be largely unsuccessful. The first period of

interest in the machine was ephemeral. Many were unwilling to invest in a new turbine

when the current ones worked fine, and Tesla’s turbine was, like most machines, having

problems. Tesla used German silver for the disks, but the operation speeds would prove

to be too much for this material. Indeed, suitable material for the disks would not be

available for years to come. Without enough money to do much of anything, Tesla

turned to the things he could do: thinking and speculation.

Although Tesla was still filing patents on occasion, the majority of work for

which he would be known was already in the past. His time was now spent

contemplating powered flight and designing lightning rods, among other things. Tesla’s

fame had, in one way, worked against him. Many thought the inventor was very wealthy,

so it came as a shock to many when Tesla’s relative poverty came to light in 1916. In

March of that year, Tesla was brought to court because he had not paid some of his taxes.

During this trial, Tesla’s real financial situation was totally revealed. While Tesla must

have been embarrassed by the whole situation, there was one positive outcome.

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With the news of Tesla’s debts now common knowledge, many electrical

engineers felt that a great injustice had been done. Tesla had practically ushered in the

modern electrical age, and yet he was unrecognized for his achievements. With this in

mind, the American Institute of Electrical Engineers decided to give Tesla the Edison

Medal, their highest award. Initially, Tesla vehemently denied wanting anything to do

with the award that bore the name of one of his greatest rivals. One of the engineers who

pushed for Tesla to receive the prize, B. A. Behrend, set about trying to persuade the man

to accept the award. Although it took many visits, Tesla eventually agreed. Despite all

his earlier protests, Tesla attended the ceremony and gave a fairly long speech. Tesla

would treasure the Edison Medal for the rest of his life.

After receiving the Edison Medal, Tesla was a little more optimistic. He began

working to get out of debt and was trying hard to make successful business ventures. It

was an honest series of attempts, but nothing substantial came of it. Instead, Tesla was

finding himself more and more out of place with the world. Tesla, with his outdated

scientific beliefs in things such as the ether, could not come to agree with the work being

done in quantum mechanics and relativity. As science and technology advanced further,

Tesla’s work appeared to be slipping out of memory. Even the Westinghouse Company,

so much in debt to Tesla for his contributions, appeared not to remember or care: they

had turned down Tesla’s radio system while setting up their own.43 With the end of his

career seeming to be at hand, and with little recognition, it is no wonder that Tesla

became more eccentric.

As he aged, the pigeons which Tesla cared for became ever more important to

him. Kenneth M. Swezey, a friend Tesla had made in the 1920s, wrote that the elderly

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scientist had dozens of pigeons in his care. Tesla could not even keep all of them in his

hotel room. Among all the birds, there was a white one to which Tesla had a deep

emotional attachment. When this pigeon died, Tesla was devastated. Tesla claimed he

could communicate with this bird, and that they had some sort of connection. He

supposedly said to his future biographer, “Yes, I loved that pigeon, I loved her as a man

loves a woman, and she loved me. When she was ill I knew, and understood; she came to

my room and I stayed beside her for days.”44 While this behavior in Tesla was certainly

unusual, it did show Tesla emotional depth. Even with the end of his life not far off,

Tesla proved to still have a knack for publicity.

The last decade of Tesla’s life was spent making flamboyant claims. Although

not everything he said was outlandish, many were quite unrealistic. Taking advantage of

his birthday parties to talk to the press, Tesla would announce things such as having

discovered a totally new, unlimited and free source of power. Of course, only vague

details were given, and nothing ever came of the matter. Indeed, much of what Tesla

claimed during this period would only fuel the theories of occultists later on, further

obscuring Tesla’s real achievements. An excellent example of this is Tesla’s so-called

death ray. The New York Times reported on the device on July 11, 1934 with the claim

that it was “powerful enough to destroy 10,000 planes 250 miles away.”45 Although

some rudimentary designs were drawn up, there is no evidence a real working device was

ever built. Nevertheless, after Tesla’s death, something of a conspiracy theory emerged.

It was claimed that the government had taken Tesla’s technical designs, and the concepts

had been taken up by both the US and the Soviet Union. Supposedly, Tesla’s death beam

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theories influenced their work on directed energy weapons. Such stories are fantastic, but

they have made it sometimes difficult to distinguish myth from reality in Tesla’s life.

In the late 1930s, Tesla’s health began to falter. The elderly inventor was struck

by a taxi in 1937 and refused to go to a doctor. He eventually caught pneumonia and was

sick until the spring. Tesla never fully recovered, and his health wavered until 1943. On

the fourth of January of that year, Tesla was going to help an old working partner set up

an experiment, but had to leave early due to chest pains. Returning to his hotel room,

Tesla confined himself alone for several days. On the eighth, when a maid checked the

room, the inventor was found dead. Tesla had died the day before, probably of a

coronary thrombosis.46 The long and fascinating life of one of the modern world’s

greatest inventors had come to an end.

Nikola Tesla’s eighty-six years of life had transformed the world. Besides his AC

motors, Tesla had created a myriad of inventions. Tesla’s AC system made electrical

power practical and eventually brought electricity to every corner of the world. Tesla’s

fundamental radio patents paved the way for the mass media so ubiquitous today. Yet,

many of these great contributions are largely unrecognized today. However, one of

Tesla’s inventions had enjoyed popular recognition for various reasons. This invention is

the Tesla coil.

The Tesla Coil

The Tesla coil has been around for more than a century now, and its uses have

changed with time. What was once used for radio equipment and some medical

equipment (of an often unrealistic nature) is now used to generate lightning effects for

entertainment. To put it simply, a Tesla coil is a special transformer capable of putting

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out a high-voltage, high-frequency signal. Tesla designed the device to do so by an

ingeniously simple method.

How it Works

The Tesla coil is not just one coil, but rather a set of four assembled into two

transformers. One of these transformers is simply a step-up transformer used to give a

high voltage from a relatively low-voltage source. This transformer, which operates at 60

Hz from the power line, often has an iron core to increase coupling. The second

transformer is a step-up, air-core transformer. This transformer has an air-core because it

needs to operate at radio frequencies, and the iron core of most transformers is a poor

choice for this. The common iron core is used to increase inductance, but at frequencies

above 1 kHz the electron spins in the iron cannot keep up with the applied magnetic field,

resulting in huge power losses.47 The air-core transformer does not suffer from the

massive power losses an iron core transformer would have at radio frequencies. Between

the two transformers, however, lie the “guts” of the Tesla coil, and the mechanism for

shifting to high frequencies.

A spark gap, a capacitor, and an inductor are wired up between the two

transformers. The set-up of this primary circuit can be found in the following figure,

courtesy of “http://www.richieburnett.co.uk/parts.html”.

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Figure 4. The basic configuration of a Tesla coil.

This set-up means that the primary circuit, that being the spark gap, the capacitor,

and the inductor (primary coil), function as a separate circuit when the oscillations with

the secondary begin. Once the air in the spark gap ionizes and breaks down, the capacitor

discharges most of its charge into the newly created loop. Then the inductor resists the

current, eventually sending the current back to the capacitor. The cycle then repeats; all

this happens very quickly. In fact, the current, under perfect conditions, oscillates at the

resonant frequency, given by the following equation:

LCfo

π21

=

Eq. 1.48

Indeed, this equation governs the resonant frequency of both the primary and

secondary circuits. To help with this explanation of a Tesla coil, an example was

designed and constructed over a period of time. The procedure of its design, along with

its issues, will help create a better understanding of the functioning.

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The Design

To begin, a resonant frequency was chosen. In this case, 700 kHz was selected

because a high frequency was wanted. From there, the wavelength (in feet) was

calculated using the classic equation λ=c/f (Eq. 2). Note that English units are often used

because many of the equations concerning Tesla coils are in those units (and are

approximations). Plugging in 9.84*108 ft/sec for c, and using the chosen frequency for f,

a wavelength λ is equal to 1405.7 ft. Since it is easier to begin on the secondary coil, this

is where the design begins to take shape. The secondary coil acts like a vertical antenna,

so rules applicable to antennas must be used. In this case, since the system is classed as a

medium-frequency antenna, a quarter wavelength antenna length is preferable; the

secondary resonates the best with a length of λ/4.49 Dividing the calculated wavelength

by four gives 351.4 ft, the length of wire needed for the secondary. A fine wire

(26AWG) was chosen for this to give a high number of turns. With its insulation, the

wire has a diameter of 0.032 inches. Then, a PVC pipe with an outer diameter of 2.355

inches was chosen as the base for the coil. Using these pieces of information, and the

formula Dπ+d (D is the pipe diameter, d is the wire diameter)50, the length of wire per

turn can be calculated (it is 7.4 inches). Dividing the length of wire by the length per turn

gives the number of turns, which happens to be 568.7 (which, multiplied by the diameter

of the wire gives the coil height, 18.2 inches). Of course, these numbers are just

approximations when the coil has been constructed, due to the somewhat crude methods

used. From here, equation 1 is the determining factor.

Since the secondary coil has an inductance and a capacitance of its own (plus the

capacitance of the toroid), the circuit on the secondary is nearly identical to the primary’s

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circuit. There are also several approximate equations for determining these values. They

are as follows:

HANALs109

22

+=

Eq. 3. The Wheeler Formula. (The equation is accurate within 1% if the coil height H is greater than the pipe radius A. N is the number of turns, and all length units are in inches, while the value of the inductance, Ls, is in microhenries.51)

)(41

22so

sLf

=

Eq. 4. The capacitance for a helical coil. (The capacitance Cs is in farads, the resonant frequency fo is in hertz, and the inductance Ls is in henries.52)

)(*)2781.1(4.1 CSODCSODCSCT −−= π

Eq. 5. The capacitance for a toroid. (The capacitance CT is in picofarads, CS is the cross-sectional diameter in inches, and OD is the total outside diameter in inches.53) In the case of the test coil, the toroid has an outside diameter of 11.1 inches and a

cross-sectional diameter of 3 inches. This results in a toroid capacitance of about

1.24*10-11 farads. When the known dimensions of the coil are put into the Wheeler

formula, the coil inductance is found to be nearly 0.00233 henries. Using this, the coil

capacitance turns out to be 2.22*10-11 farads. Note that these numbers suggest that the

actual resonant frequency of the coil will not be 700 kHz. Instead, using equation 1 and

adding the coil and toroid capacitances, the operating resonant frequency ends up being

561090 Hz. This is not a problem, provided that the primary circuit is designed with this

in mind.

The operating resonant frequency is used with a modified version of equation 4 to

find the dimensions of the primary coil. For the sake of convenience, a high-voltage

capacitor capable of handling radio-frequency circuits that was on hand was used. This

had a capacitance of roughly 0.005 μF and a maximum voltage of 15,000 VRMF. Putting

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this into equation 4 with the capacitance and inductance switched, the needed inductance

is found to be about 16.1 μH. Then equation 3 can be used since both the wire and the

coil form had already been selected. Choosing a height of about 25 inches (to completely

encase the secondary), equation 3 yields a turn number of almost 37.4 turns. The chosen

wire was 18 AWG with heavy insulation, giving a total diameter of 0.016 inches. A 3.5

inch diameter PVC pipe was used as the primary coil form, so as to let the secondary sit

inside the primary. This arrangement would presumably provide the best arrangement, as

the setup allows for the greater interaction of the magnetic fields. The solenoid shape

creates a magnetic field that goes up in the center of the coil, following the overall

direction of the current.54 This way, the secondary is surrounded by the primary’s field,

and a current forms to oppose it according to Lenz’s law.55 Of course, since the

frequency will be high, the magnetic field is constantly switch direction, resulting in the

secondary coil’s alternating current. Checking the operating frequency, the primary

shares the secondary coil’s resonant frequency. The total primary coil wire length ends

up being 34.3 feet. The design is now done, but there are still several more details to

cover.

One convenient item to note is that the impedance for both the primary and the

secondary is the same. Both take the following form:

CjLjRZ T

ωω −+=

Eq. 6. General form of coil impedance.

22 )1(||C

LRZ Tω

ω −+=

Eq. 7. The general magnitude of coil impedance.56

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Only the dimensions of the values differ between coil sides. On the secondary

coil, the resistance is supplied by the coil’s wire and by the separation of the terminal

from a ground; the inductance and capacitance are supplied by the coil and its terminal.

The primary side is more complex. Although the inductance simply comes from the coil,

and the capacitor gives the circuit most of the capacitance, the resistive impedance comes

from several sources. One of these is just the wire’s own resistance. The other two

sources are slightly more complicated. The spark gap does offer some resistance that

cannot be totally ignored. However, this resistance is not too great once the air between

the terminals has ionized. The most interesting cause of impedance in the primary circuit

comes from the secondary coil.

As previously stated, the primary coil’s magnetic field causes an opposing current

to form in the secondary coil. As might be expected, the secondary coil’s current then

creates its own magnetic field in the opposite direction. The result is a sort of reflected

impedance in the primary. This adds an extra term to equation 7 for the primary circuit.

Although the new term may appear simple, the truth is that there is some complexity.

The term takes this form:

s

p

ZMZ

2

fRe)(ω

=

Eq. 8. The reflected impedance.57 (Notice here that the operating resonant frequency is specifically for the primary, while the impedance in the denominator is for the secondary coil.) The fact that the coefficient of mutual inductance is here signifies that the

geometry of the coils in relation to one another greatly affects the reflected impedance. A

large mutual inductance results in a large impedance. As with many aspects of building a

Tesla coil, the equations for this mutual inductance are mostly empirical and are fairly

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messy.58 This also holds true for the impedance of the secondary coil, as the calculation

of the resistance of the coil is made difficult by certain phenomenon at radio-frequencies,

such as the skin effect (which refers to the current being localized to the outer areas of the

wire due to “eddy currents”59). However, the reflected impedance would only reduce the

current and performance, rather than affect the functionality. The actual coil should be

noted before continuing, however.

Testing

With the design done, the actual setup should be detailed some more. Although

the following photographs are fuzzy, the design can be seen with some minor

explanation.

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Figure 5. The Setup. (The tall gray tower on the left is the primary coil encasing the secondary coil. The long wires on both of its sides are connected to the ground, allowing for easy discharges.)

Figure 6. The Primary Components. (The black box on the top is the high-voltage transformer, and the red wire coming from its left terminal is connected to the gray-colored choke. From the choke, the wire goes to several resistors in series. Note that only one resistor is above the circuit board, and two are attached below. Then the wire goes to the large cylindrical capacitor and its path splits; in addition to going to the capacitor, the wire also goes to the spark gap in the upper right of the picture. Wires from the other terminal of the capacitor and spark gap are attached to the primary coil. Finally, the spark gap is also connected to the HV transformer.)

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Figure 7. The Coil Tower and Toroid. This setup, crude as it may be, was constructed according to the calculated

designs. Once construction was complete, testing began. When the system was

connected to the power outlet several loud sparks were created. The spark gap ended up

creating the brightest and loudest spark. The sparks from the toroid were not so

impressive, but managed to cross roughly 7cm of air to get to the grounded copper wires

nevertheless. When the toroid was traded for a copper spike a small, continuous

discharge formed at the end, creating a small corona. It should be noted, however, that

removing the toroid should further reduce performance, and this did indeed seem to

occur. The machine worked great for a while, and was only used for a short period each

time. After several runs, however, a setback presented itself.

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Error and Correction

After roughly 10 minutes of operation, a serious problem arose. When turned on,

the coil would not spark. The spark gap did not fire, either. This seems to have resulted

from the fact that the primary circuit is not totally disconnected from the power source.

Without proper measures being taken, some of the primary circuit’s radio-frequency

current leaks back into the high-voltage transformer. Since the transformer is designed

for lower currents and lower frequencies, the result is fairly detrimental. The iron core of

the transformer causes large power losses, and the energy goes into heat. In the case of

the test Tesla coil, the 12,000V transformer was broken by this RF current. In order to

protect against this, a choke, an iron-core inductor, was put between the primary and the

transformer. This way, any RF current would be countered before reaching the

transformer. In addition to this, the current in the system was reduced by adding power

resistors. This, combined with the use of a 10,000V transformer, resulted in somewhat

poorer performance, giving weaker streamers about 4cm long. The end result was that

the coil diagram changed a bit.

Fig. 8. The practical setup of a Tesla coil. (The power resistors and choke have been added next to the high-voltage transformer, while the primary coil’s impedance, natural and reflected, has been represented by an additional resistor in the primary circuit.)

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However, aside from its rather lackluster output, the Tesla coil was designed and

constructed successfully. The sparks produced seemed to be quite powerful, and were

capable of penetrating roughly a centimeter of wood to reach the ground. It seems to be a

very effective means of attaining high voltages and frequencies.

The Tesla coil is a fairly complex system, and there are still many details that

could be covered. It seems as though much of the material on the subject is, however,

empirical in nature. The most useful equations are approximations, but, like many high-

voltage devices, the tolerances are high. The Tesla coil is an ingenious means of

generating high-voltage, high-frequency electricity. Its design serves as an example of

Nikola Tesla’s genius.

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