Various Tesla book cover images

Nikola Tesla Books

Books written by or about Nikola Tesla

Nikola Tesla: Colorado Springs Notes, 1899-1900 Page 192

September 20-21, 1899

If R be the resistance of charging coil and L the self-induction and E the e.m.f. of the generator the maximum current that could flow through the coil would be $! {E \over R} $!, but as the stream has a resistance r the maximum current will be $! {I = {E \over R + r}} $!. The moment of the coil will be $! {{1 \over 2}I^{2} L} $!. The condenser will be able to store each time an amount of energy $! {= {{E^{2} C} \over 2}} $! and we must have $! {{1 \over 2}LI^{2} = {{E^{2} C} \over 2}} $!. This gives for C value $! {C = L \left({I \over E}\right)^{2}} $! but $! {{I \over E} == {1 \over {R+r}}} $! hence $! {C = {L \over {(R + r)^{2}}}} $!. Now to obtain frequency of break we should calculate the time sufficient to evaporate a portion of the liquid column. This we can find easily from dimensions of column and its resistance, specific heat and the amount of energy which is passed through it.

(This to be followed out.)

Colorado Springs

Sept. 21, 1899

Proposed structure to elevate terminal to a height of 140 feet from ground.

On a telegraph post very strong and reaching nearly to the roof of the building is to be placed a cap consisting of a pipe 10" diam., about 2 feet long with a coupling for a 6" pipe. The cap will widen out at the bottom so as to keep the wood safe against the streamers.

The pipes come in lengths of 20 feet. This will give roughly 120 feet of pipe plus cap and timber, at least 20 feet, all in all 140 feet.

The approximate area of pipe above the roof will be: π x 20 x 12(6 + 5 + 4 + 3 + 3 + 2) = 17,332 sq. inches or 120 sq. feet. The ball having nearly 20 sq. feet. We shall have 140 sq. feet + cap. There may be possibly 150 sq. feet with all joints. The electrostatic capacity will reduce turns on coil to probably less than one half.

The wind pressure will be considerable but except for an unusually strong wind it will be fairly safe.

192

 

September 20

He calculated the oscillator with electrolytic breaker and inductive coil in the supply line of the oscillator, assuming that the entire kinetic energy of the coil is converted into electrostatic capacitor energy, and that happens when the voltage in the capacitor reaches the source voltage. In the shown circuit, however, the voltage in the capacitor could reach even higher levels depending on the validity factor of the coil and the breaker speed, but Tesla does not consider such a case here. The breaker which Tesla describes here operates on the principle of a fine fluid stream evaporating under the influence of current through the device (please see pictures), and he studied it in relation to the oscillator design which he switches on by means of a disconnect.


Glossary

Lowercase tau - an irrational constant defined as the ratio of the circumference of a circle to its radius, equal to the radian measure of a full turn; approximately 6.283185307 (equal to 2π, or twice the value of π).
A natural rubber material obtained from Palaquium trees, native to South-east Asia. Gutta-percha made possible practical submarine telegraph cables because it was both waterproof and resistant to seawater as well as being thermoplastic. Gutta-percha's use as an electrical insulator was first suggested by Michael Faraday.
The Habirshaw Electric Cable Company, founded in 1886 by William M. Habirshaw in New York City, New York.
The Brown & Sharpe (B & S) Gauge, also known as the American Wire Gauge (AWG), is the American standard for making/ordering metal sheet and wire sizes.
A traditional general-purpose dry cell battery. Invented by the French engineer Georges Leclanché in 1866.
Refers to Manitou Springs, a small town just six miles west of Colorado Springs, and during Tesla's time there, producer of world-renown bottled water from its natural springs.
A French mineral water bottler.
Lowercase delta letter - used to denote: A change in the value of a variable in calculus. A functional derivative in functional calculus. An auxiliary function in calculus, used to rigorously define the limit or continuity of a given function.
America's oldest existing independent manufacturer of wire and cable, founded in 1878.
Lowercase lambda letter which, in physics and engineering, normally represents wavelength.
The lowercase omega letter, which represents angular velocity in physics.