Various Tesla book cover images

Nikola Tesla Books

Books written by or about Nikola Tesla

Following readings were taken today for the purpose of putting together a table of the inductances of the various turns of the regulating coil. The machine was specially run and all care was taken to get the readings as close as practicable. The method used in a previous case was again adopted which consisted in reading the e.m.f. across the two primary turns in series and simultaneously the e.m.f. across the two primary turns + connections + the turns in the regulating coil. The resistances as before stated being entirely negligible, the inductance in each case was given by the ratio of the e.m. forces and the known inductance of the two primary turns. By this method the error which might have been caused by a variation of ω which could only be determined by taking the speed of the generator, the apparatus for the more exact determination of this quantity being unfortunately left in New York. The results are indicated in the following table:

E.m.f. across two primary turns in series E.m.f. across two primary turns + connections + turns of the regulating coil Number of turns reg. coil I ω Increase of e.m.f. from step to step
12.00 12.3 1/2 58.8 880  
12.00 12.45 2 1/2 58.8 " 0.15
12.00 12.70 4 1/2 58.8 " 0.25
12.00 13.05 6 1/2 58.8 " 0.35
12.00 13.40 8 1/2 58.8 " 0.35
12.00 13.80 10 1/2 58.8 " 0.40
12.00 14.20 12 1/2 58.8 " 0.40
12.00 14.60 14 1/2 58.8 " 0.40
12.00 15.00 16 1/2 58.8 " 0.40
12.00 15.40 18 1/2 58.8 " 0.40
12.00 15.80 20 1/2 58.8 " 0.40
12.00 16.20 22 1/2 58.8 " 0.40
12.00 16.40 23 1/2 58.8 " 0.20

This shows an increase per turn of about 0.20 V, except the few first turns.

Colorado Springs

Nov. 9, 1899

In some experiments it was necessary to use vibrations of lower frequencies and this made it necessary to insert additional inductances in the condenser discharge circuit. In such cases it was convenient to use the two primary turns only; in order to prevent a

270

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.


November 9

The measurements of mutual inductance in terms of the inductance of the primary when the secondary is open and short circuited are noteworthy. They were made at constant current and frequency, simplifying the calculation.

To reduce the oscillator frequency, in some cases Tesla used two special coils which he refers to only by wire gauge number. He compares the calculated and measured values for these coils. The values measured by the voltage ratio method are about 2% less than those found from voltage, current and frequency. The calculated values are lower than either. Correction of the measured values as described in the commentary to 26 October does not make much difference (about - 5%) because the D/l ratio is relatively small.


November 9

He performs the interesting measurements of the mutual inductance on the basis of the primary inductance when the secondary is open, and in short circuit. He measured inductances at constant current and frequency so the calculation procedure is simplified. The obtained mutual inductance he compared with the inductance determined previously by means of induced voltage under no load conditions. Tesla thinks that the difference originates from the influence of the secondary on the primary when the secondary is open. In some cases for the purpose of oscillator operating frequency reduction Tesla used two separate coils which he did not name but designated by numbers. He compared the calculated and measured values for these coils. The measured value on the basis of voltage the ratio method amounts to approximately 2% less than values measured on the basis of voltage, current and frequency. The calculated values are smaller in both cases. The correction of measured values according to comment of Oct. 26 is not large (approximately 5%) because the ratio D/1 is relatively small.

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.