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Nikola Tesla Books

Books written by or about Nikola Tesla

Nikola Tesla: Colorado Springs Notes, 1899-1900 Page 318

December 10-14, 1899

Now to secure resonance with structure attached and under best working conditions of the exciting system with possibly only a very few turns of the regulating coil in primary, we have from above to reduce inductance of extra coil by a ratio of $! {22,650 \over 76,150} $!. For same length turns will be

$! {\sqrt{{2265 \over 7615}}} $! x 100 = 54 - 55 t.

Colorado Springs

Dec. 14, 1899

Test to ascertain free vibration of new “Extra Coil System” (latest)

The new “extra coil” latest type is wound on same frame 8' 3" diam. and 8 feet in length, the wire being this time No. 6 instead of wire No. 10 as before. There are presently just 100 turns. A coil of No. 6 wire wound on drum 14" diam. and 8 feet long, which was used repeatedly before, was connected in series with this latest extra coil and resonance determined by means of the adjustable small inductance as usual and a miniature lamp shunting the turns. The results with no capacity on the terminal which was “free” were:

Capacity in primary circuit Inductance in primary circuit
$! {{5 \times 36} \over 2} = $! {180 \over 2} $! = 90 bottles = 0.081 mfd One primary turn (two cables in multiple) + 3 turns regul. coil

When a ball 30" diam. with 4 feet of wire was connected to the free terminal the readings were:

Capacity-primary: 0.081 mfd Inductance-primary: as above, only 7 1/2 turns in regul. coil.

In both cases the excitation was effected through the secondary of the oscillator from a point of the same 3/4 turns from ground plate. In the first case the inductance of primary, taking into consideration the secondary reaction, is estimated at 41,000 cm. Adding to this the inductance of connections and 3 turns of regulating coil = 10,000 cm the total inductance was about 51,000 cm. This with a capacity of 0.081 mfd would give the period of the system comprising the two coils in series

Ts = $! {{2 \pi \over 10^{3}} \sqrt{0.081 \times {51 \over 10^{6}}}} $! = $! {2 \pi \over 10^{6}} $! x 2.03 = $! {12.75 \over 10^{6}} $! approx. and n = 78,500

approx. per second. When the capacity of a ball of 30" diam. is associated with the system we have the inductance of the primary circuit, as before, 41,000 cm for the primary turn with secondary reacting plus 7 1/2 turns regulating coil and connections=23,580 cm, with reference to the table, that is, total=64,580 cm. The period in the second case was therefore

Ts = $! {{2 \pi \over 10^{3}} \sqrt{0.081 \times {6458 \over 10^{8}}}} $! = $! {{2 \pi \over 10^{7}} \sqrt{523.098}} $! = $! {{6.28 \times 22.9} \over 10^{7}} $! = $! {143.8 \over 10^{7}} $!

318

December 14

He tests a new "additional coil by using previously described resonant methods (please see Dec. 3). He includes in the oscillator circuit the resonant transformer, and the "additional" coil excites via secondary terminals. The estimate of operating frequency he obtains by calculation on the basis of ''reduced primary inductance'' and capacitance in the primary circuit. On the basis of undefined "reduction of primary inductance" (please see the remark along with the comment on Dec. 5), all results are, as Tesla himself says, rough approximations of accurate results.

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.