Considering the secondary coil alone
Scale ratio = 0.024...
Secondary frequency (alone & tuned) = 1749780.2 cycles/sec
Diameter = 36.29cm
Height = 2.58cm
Number of turns = 16
Conductor length = 18.24 metres
Static inductance = 175.46µH
Cosine quarter wave inductance = 99.72µH
Free space self capacitance = 28.66pF
Sine quarter wave effective capacitance = 52.88pF
This is where it gets more complicated.
Square root of scale ratio = 0.15554...
From original extra coil where L = 17.68mH and C = 115.67pF, required
L = 2.7mH
C = 67.2pF
Taking the physical extra coil dimensions, times 0.15554... gives
Extra coil frequency (free) = 747704.4 cycles/sec
Diameter = 39.11cm
Height = 37.13cm
Number of turns = 100
Conductor length = 122.87 metres
Static inductance = 2.75mH
Cosine quarter wave inductance = 1.56mH
Free space self capacitance = 17.99pF
Sine quarter wave effective capacitance = 30.29pF
Plus 25.3pF terminal gives the desired result, as far as inductance and capacitance is concerned and as far as I understand it. But the frequency is way off.
Going by the scale ratio of 0.024... so it's in proportion with the secondary and the total wire length in the system is scaled by the same factor
Extra coil frequency (free) = 4807066.667 cycles/sec
Diameter = 6.08cm
Height = 5.77cm
Number of turns = 100
Conductor length = 19.11 metres
Static inductance = 427.86µH
Cosine quarter wave inductance = 243.15µH
Free space self capacitance = 2.79pF
Sine quarter wave effective capacitance = 4.71pF
But then the problem would be that the extra coil won't be seen as an inductance, so I expect the end frequency would be closer to 1000 kc than 1860.
Scale ratio = 0.024...
Secondary frequency (alone & tuned) = 1749780.2 cycles/sec
Diameter = 36.29cm
Height = 2.58cm
Number of turns = 16
Conductor length = 18.24 metres
Static inductance = 175.46µH
Cosine quarter wave inductance = 99.72µH
Free space self capacitance = 28.66pF
Sine quarter wave effective capacitance = 52.88pF
This is where it gets more complicated.
Square root of scale ratio = 0.15554...
From original extra coil where L = 17.68mH and C = 115.67pF, required
L = 2.7mH
C = 67.2pF
Taking the physical extra coil dimensions, times 0.15554... gives
Extra coil frequency (free) = 747704.4 cycles/sec
Diameter = 39.11cm
Height = 37.13cm
Number of turns = 100
Conductor length = 122.87 metres
Static inductance = 2.75mH
Cosine quarter wave inductance = 1.56mH
Free space self capacitance = 17.99pF
Sine quarter wave effective capacitance = 30.29pF
Plus 25.3pF terminal gives the desired result, as far as inductance and capacitance is concerned and as far as I understand it. But the frequency is way off.
Going by the scale ratio of 0.024... so it's in proportion with the secondary and the total wire length in the system is scaled by the same factor
Extra coil frequency (free) = 4807066.667 cycles/sec
Diameter = 6.08cm
Height = 5.77cm
Number of turns = 100
Conductor length = 19.11 metres
Static inductance = 427.86µH
Cosine quarter wave inductance = 243.15µH
Free space self capacitance = 2.79pF
Sine quarter wave effective capacitance = 4.71pF
But then the problem would be that the extra coil won't be seen as an inductance, so I expect the end frequency would be closer to 1000 kc than 1860.
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