Nikola Tesla Books
From this:
Cs1 = $! {{0.009 \times {3383 \over 10^{7}}} \over {85 \over 10^{3}}} $! = $! {{0.009 \times 3383} \over {85 \times 10^{4}}} $! mfd, or in centimeters:
Cs1 = $! {{9 \times 10^{5} \times 0.009 \times 3383} \over {85 \times 10^{4}}} $! = $! {{0.81 \times 3383} \over 85} $! = 31.84 cm.
This is slightly larger than before found owing to adoption of smaller inductance for excited coil.
In case II. the inductance of the primary circuit was:
{ | Coil No. 6 wire as before: | 295,000 cm | } | total = 354,700 cm. |
17 turns + connections | 59,700 " |
The primary period was:
Tp2 = $! {{2 \pi \over 10^{3}} \sqrt{0.0324 \times {3547 \over 10^{7}}}} $! | and the secondary corresponding |
Ts2 = $! {{2 \pi \over 10^{3}} \sqrt{{T_{s}}_{2} \times {85 \over 10^{3}}}} $! |
Hence Cs2 = $! {{0.0324 \times 3547} \over {85 \times 10^{4}}} $! mfd, or Cs2 = $! {{9 \times 10^{5} \times 0.0324 \times 3547} \over {85 \times 10^{4}}} $! cm.
Cs2 = 121.68 cm. Hence capacity of the vertical wire will be approximately
Cs2 - Cs1 = 89.84 cm. This is again larger than before found but probably closer than the former value.
In case III. the primary inductance was:
{ | Coil No. 6 wire | 295,000 | } | total 341,200 cm. |
13 1/2 turns + conn. | 46,200 |
The primary vibration was therefore:
Tp3 = $! {{2 \pi \over 10^{3}} \sqrt{0.0387 \times {3412 \over 10^{7}}}} $!
and the corresponding vibration of the excited system
Ts3 = $! {{2 \pi \over 10^{3}} \sqrt{{C_{s}}_{3} \times {85 \over 10^{3}}}} $!
from this we have:
Cs3 = $! {{0.0387 \times {3412 \over 10^{7}}} \over {85 \over 10^{3}}} $! = $! {{0.0387 \times 3412} \over {85 \times 10^{4}}} $! mfd,
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November 11
In measuring the capacity of a sphere at different heights Tesla here uses a loosely coupled circuit containing a lamp to determine resonance. The results for a 50 ft wire differ somewhat from those of October 28th, but are within the limits of error of the method. The values for the capacity of the sphere are somewhat higher than before, but not in proportion to the diameter of the sphere.
November 11
He continues for measurements of the sphere capacitance changes at various elevations above the ground. For the purpose of determining the resonance he uses the circuit weakly coupled with the bulb. The results for the wire 50 ft. in length are somewhat different from those obtained Oct. 28, but the differences are within the limits of measurement accuracy. The values for the sphere capacitance are somewhat higher than previous, but they are not increased proportionately in relation to the sphere diameter.