Various Tesla book cover images

Nikola Tesla Books

Books written by or about Nikola Tesla
Coil with ball 30" diam. slid on vertical wire.
Capacity primary Height of ball from center to ground Inductance in primary
$! {36 \over 2} $! = 18 bottles = 0.0162 mfd. 10' 1" 16 1/4 turns + conn.
" " 33' 8" 16 7/16 " + conn.
" " 57' 3" 16 5/8 " + conn.

On the basis of these readings the following results are obtained: In the first experiment when the wire was attached, the inductance in primary was: 4 $! {13 \over 16} $! turns + conn. = 14,526 cm. Calling again Cs1 capacity of excited system we have

Cs1 = $! {{0.0162 \times {14,526 \over 10^{9}}} \over {{6 \times 10^{6}} \over 10^{9}}} $! mfd

Cs1 = $! {{0.0162 \times 14,526 \times 9 \times 10^{5}} \over {6 \times 10^{6}}} $! = 35,298 cm.

In the second case with wire 50 long attached to the excited system the capacity of primary being the same as before and the inductance of primary being 14 3/4 turns + conn = 51,004 cm, we have:

Cs2 = $! {51,004 \over 14,526} $! Cs1 = $! {51,004 \over 14,526} $! x 35.298 = 3.511 x 35.298 = 123.931 cm.

Hence capacity of wire

Cs2 - Cs1 = 123.93 - 35.298 = 88.632 cm.

Now with ball at its lowest position capacity in primary was as before and inductance 16 1/4 turns + conn. = 56,779 cm. Hence

Cs3 = $! {56,779 \over 14,526} $! Cs1 = 3.9088 x 35.298 = 137.973 cm.

From this effective value of ball at the height of 10' 1" was

Cs3 - Cs2 = 137.973 - 123.931 = 14.042 cm.

With ball at a height of 33' 8" the inductance in primary was 57,502 cm. and at the height of 57' 3" it was 58,223 cm. As the capacity in primary was the same the values for Cs4 and Cs5, respectively, are at once found since

Cs4 = $! {57,502 \over 56,779} $! Cs3 and Cs5 = $! {58,223 \over 56,779} $! Cs3

From this we find

Cs4 = 1.0127 x 137.973 = 139.725 cm, and Cs5 = 1.02543 x 137.973 = 141.482 cm.

19*

291

19

Fleming, J.A. THE PRINCIPLE OF ELECTRIC WAVE TELEGRAPHY AND TELEPHONY, Third ed. 1916, Longmans Green & Co. London (from now on: Fleming), p. 877.

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.