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