Various Tesla book cover images

Nikola Tesla Books

Books written by or about Nikola Tesla

Colorado Springs

Dec. 3, 1899

Determination of free vibration of new “extra coil”. No. 10 wire wound on frame 8' 3" diam. and 8' length modified by taking off five turns on top and placing the last five turns two grooves apart instead of one groove as the rest of turns. In this modification there are just 100 turns in the coil. The excitation was effected from the secondary the connection being made to a point o 3/4 turns from the ground plate as indicated in the diagram.

The maximum rise was determined by means of a diminutive lamp shunting a few turns of an adjustable small coil in series with the extra coil, the small coil being of an inductance entirely negligible as compared with that of the extra coil. The readings for resonating condition were as follows:

Capacity in the primary or exciting circuit Inductance in the pr. or exc. circuit
$! {{2 \times 36} \over 2} $! = 36 bottles = 0.0324 mfd 16 1/16 turns regulating coit + 1 primary turn, that is two primary cables in multiple as modified by reaction of secondary.
$! {{4 \times 36} \over 2} $! = 72 bottles = 0.0648 mfd 5 5/8 turns of coil + primary as above.

From first reading, taking the inductance of primary turn as modified by the secondary 41,000 cm, the period of the oscillation was T1 = $! {{2 \pi \over 10^{3}} \sqrt{0.0324 \times 97}} $!, L the inductance of primary being that of primary turn + 16 1/16 of regul. coil = 41,000 + 56,000 = 97,000 cm. This gives

T1 = $! {{2 \pi \over 10^{3}} \sqrt{0.0324 \times {97 \over 10^{6}}}} $! = $! {{2 \pi \over 10^{6}} \sqrt{0.0324 \times 97}} $! =

$! {2 \pi \over 10^{6}} $! x 1.773 = $! {11.13444 \over 10^{6}} $! and n = 90,000 nearly.

309

December 3-4

He returns to experiment with the oscillator and "additional coil". The resonant frequency he calculates as above earlier by a simplified procedure. In the measurement performed on December 4 he excluded the "additional coil". He measured the frequency by means of the resonant coil (i.e., coil which becomes resonant with its distributed capacitance). By means of interchange methods he determines "reduced" primary inductance.

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.