Various Tesla book cover images

Nikola Tesla Books

Books written by or about Nikola Tesla

Colorado Springs

Nov. 8, 1899

Table of inductances prepared from preceding readings.

Two primary turns in series 230,945 cm. 0.000230945 H
One of the primary turns 57,736 " 0.000057736 "
All connections to condensers and breaks as used 5004 " 0.000005004 "
All connections plus one half turn of reg. coil (first turn) 5774 " 0.000005774 "
All connections plus the whole first turn of reg. coil 6544 " 0.000006544 "
" " 1 1/2 " " 7314 " 0.000007314 "
" " 2 " " 8084 " 0.000008084 "
" " 2 1/2 " " 8854 " 0.000008854 "
" " 3 " " 10,009 " 0.000010009 "
" " 3 1/2 " " 11,164 " 0.000011164 "
" " 4 " " 12,319 " 0.000012319 "
" " 4 1/2 " " 13,474 " 0.000013474 "
" " 5 " " 15,158 " 0.000015158 "
" " 5 1/2 " " 16,842 " 0.000016842 "
" " 6 " " 18,526 " 0.000018526 "
" " 6 1/2 " " 20,210 " 0.000020210 "
" " 7 " " 21,894 " 0.000021894 "
" " 7 1/2 " " 23,578 " 0.000023578 "
" " 8 " " 25,262 " 0.000025262 "
" " 8 1/2 " " 26,946 " 0.000026946 "
" " 9 " " 28,870 " 0.000028870 "
" " 9 1/2 " " 30,794 " 0.000030794 "
" " 10 " " 32,718 " 0.000032718 "
" " 10 1/2 " " 34,642 " 0.000034642 "

* This table is close enough for all general estimates.

After 10 1/2 turns the increase is 3850 cm. per turn so that the inductance of 10 1/2 + n turns + conn. will be 34,642 + n x 3850 cm. With the entire coil in, there are 23 1/2 turns having 84,692 cm. or 0.000084692 H.

In order to test the accuracy of the preceding measurements, readings of the e.m.f. across the two primaries, connections and the regulating coil - all joined in series - were taken repeatedly and in as rapid a succession as was found practicable, the number of the turns of the regulating coil being varied after each set of readings. The diagram below shows the connections of the various inductances while the readings, reduced to the same e.m.f. across: [the two primary turns + connections + 1/2 of one turn of the regulating coil + flexible cable] are given in table below:

268

November 8

The primary inductance values cited are from November 5th. The other values given in the table do not agree with those derived from the measurements of October 30th. Also, earlier data do not include values for half a turn of the regulating coil. It must therefore be concluded that the measurements from which the tabulated values were calculated are not described in the diary.

It seems that in measuring inductance from voltage, current, frequency and resistance Tesla had difficulty because of unreliability of the frequency determination. He therefore used the voltage ratio, when it is only necessary for the frequency to be constant. By this method he measured the inductance of the regulating coil plus connections, for various numbers of turns.


November 8

He attaches the table of calculated primary and regulating coil inductances plus that of the connections as a function of number of turns. The values for the primary are those of Nov. 5. Other values given in the table do not match those obtained on the basis of measurement data of Oct. 30. Also in previous data the values for the regulatory coil turns halves are not given.

From all this it follows that the measurement results from which the calculated values are obtained and which are shown in the attached table are not given in the notes.

It seems that Tesla was not satisfied with the inductance measurements on the basis of voltage, current, frequency and the resistance due to uncertainty of determining the frequency itself. That is why he applied the method of voltage ratio where it is only important that source frequency is not changed during the measurements.

By this method he performs the measurements in order to determine the regulating coil and the connection inductance for the various number of turns of the coil.

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.