Various Tesla book cover images

Nikola Tesla Books

Books written by or about Nikola Tesla

whereas before it was found to be so with 18 3/8 turns. When the different value 18 3/4 turns was observed the wind was blowing hard and it would seem as if this would have had the effect of increasing the apparent capacity of the aerial vertical conductor. This is to be followed up.

The experiments seemed to demonstrate clearly that the augmentation of the capacity as the ball was elevated was in a simple proportion to the height, for at the middle position the value found was very nearly the arithmetic mean of the values in the extreme positions.

Colorado Springs

Oct. 24, 1899

Tests continued on the effect of elevation upon the capacity of a body connected to earth.

The same coil was used as in the tests just before recorded, but the ball of 18" diam. was substituted for by one of 30" diam.

These readings were in all probability closer as an improvement in the procedure was made.

The results were as follows:

First set of readings.

Capacity in primary circuit Self-inductance of primary: Turns of reg. coil + connections Height of ball above ground from center Analyzing spark on terminals of excited coil
Bottles total mfd.      
$! {{(8 \times 36) - 2} \over 2} $! = 143 = 0.1287 10 3/8 + connections 9' 11" 4 1/2"
$! {{(8 \times 36) - 2} \over 2} $! = 143 = 0.1287 10 3/4 + " 34' 3" 4 3/4"
$! {{(8 \times 36) - 2} \over 2} $! = 143 = 0.1287 11 1/8 + " 58' 6" 5 1/8"

Second set of readings. Capacity reduced in primary to get greater variation on regul. coil.

Capacity in primary circuit Self-inductance of primary: Turns of reg. coil + connections Height of ball above ground from center Analyzing spark on terminals of excited coil
Bottles total mfd.      
$! {{(4 \times 36) - 2} \over 2} $! = 71 = 0.0639 19 3/4 + " 19' 11" 4 3/8"

239

October 23

In further experiments to determine change of capacity with height Tesla uses an apparatus similar to that of the previous day. As far as can be judged, the coupling between the oscillator and the measuring circuit (coil with elevated ball) was loose. The lower terminal of the latter was connected with a condenser of the oscillator circuit. Loose coupling is evidenced by the relatively weak sparks obtained across the air gap of coil L (see figure) in comparison with the sparks obtained when a similar coil was excited by the secondary of the oscillator, tightly coupled to the primary (as for example on October 4th and 5th). Under these conditions the spark oscillator would generate a single frequency, determined by the parameters of the oscillatory circuit with the spark gap.


October 23-24

He performs the experiment outside the laboratory to determine the sphere capacitance at various elevations above the ground.

The apparatus is similar to the one from the previous day and consists of the arcing oscillator and a measurement circuit. The coupling between oscillator and measurement circuit (coil with the elevated sphere) is according to our estimate small. The lower terminal of the measurement circuit is connected with one of the terminals of the oscillator capacitor. The indication of a weak coupling is the relatively small sparks in the arcing gap of coil (see figure) in comparison with sparks when a similar coil excited the oscillator secondary in strong coupling with the primary (as for example on October 4 and 5). Under these conditions the arcing oscillator operates at one frequency determined by the diameter of the oscillating circuit's coil with the spark gap. 

In parallel with the coil L a vertical wire is connected with the sphere C. The sphere can be moved along the wire, and it is supported by the method shown in the picture.

The resonant state of coil L is judged on the basis of the spark across the adjustable arc-gap. This method of resonant state determination has short-comings because it requires relatively strong excitation. Strong excitation leads to current streamers which in turn change the circuit parameters. Tesla claims that current streamers change the capacitance of thin wire so that it causes effects comparable with those created by large capacitors. That is why he took precautions to reduce the occurance of current streamers when designing the apparatus. He paid particular attention to the arcing device for registration of resonance by introducing minimal capacitance in the coil circuit. 

He adjusts the oscillator frequency in steps by connecting a certain number of capacitor jars (each jar had a capacitance of approximately 800cm). The fine frequency adjustment was performed by variation of the number of turns of the regulating coil. The sphere capacitance was measured indirectly. First, the resonant frequency of the coil L was determined by means of the arcing device for resonance measurement. Then a vertical wire ω was connected along which sphere C slides. Through this method a second resonant frequency was determined. Finally, the resonant frequency was determined when the measurement circuit consisted of coil L, vertical wire ω and a sphere C (at various heights). From three known frequencies and known coil L inductance, the sphere capacitance values are determined at various elevations. 

Tesla performed a number of measurements for the purpose of checking first one then a second value of the capacitance in the primary circuit but he did not perform any calculations.

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.