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### EQUATIONS For Tesla Coil Computations: (Created 18-Nov-2010) Now **'easier' **to read

__Capacitor (pF): **C=0.224*K*Area*(N-1)/Thick **WHERE: K=Dielectric_Constant; Area=SqIn_1_Plate; N=#-Plates; Thick=Dielectric_Thickness(IN)
__Capacitive Reactance (Xc): **Xc=1/(2πfC) **WHERE: π=~3.14159; f=Frequency(Hz); C=Capacitance(Farad)
__Coil Inductance (uH): **L=0.00254*F*D*N**^{2} WHERE: F=End_Affects_Factor_Diam_over_Length; D=Coil_Diameter(IN); N=Number_of_Turns
__Parallel Resonant Frequency (Hz): **f=1/2π/(LC)**^{.5}WHERE: L=Henry; C=Farad; Note: (pF) times 1E-12 = Farad
__Copper Wire Size (IN): **Dwire=.1019/((10**^{(1/20)})^{(Gage-10)} WHERE: Gage=B&S Wire_Gage
__Copper Wire Resistance (Ohm/1000Ft): **R=(10**^{(0.1)})^{(Gage-10)} WHERE: Gage=B&S Wire_Gage

### CONSTANTS:

__Copper Wire Temperature Coefficient of Resistance **Tc=0.0040 **
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### NEAT-NOTE About Copper Wire:

Copper wire sizes must have invented by an engineer because it follows a pattern (makes sense) unlike, say,
machine tool number drill sizes. The B&S gage diameter increase (and decrease) from size to size goes to the
twentieth root of 10; approximately 1.122018... The resistance varies by the tenth root of 10; 1.2589...,
the square of 10^{(0.05)} because area goes to the square of diameter. Cool, huh?, I mean 'cool' that
there is a geometric progression to change in size. (Partially Off topic: Piano notes go to 2^{(1/12)}
key-2-key, 12 notes gets an octave)

It turns out that #10 gage copper wire at ambient temperature has a resistance of 0.001 ohms per foot
(1 Ohm per 1000 Ft). Copper has a density of 0.323 Lb/CuIn. Now you have all you need to know to reproduce the
entire copper wire table of diameters, resistance and weight.
>Note(diameters): #10Ga is 101.9 mils, #20Ga is 32.2 mils,
#30Ga is 10.19 mils, #40Ga is 3.22 mils; easy to remember
(and easy to compute..., What would we do without numbers?)

REF: The Capacitance equation is from Radio Amateurs Handbook (circa 1968) P-24

## Sure hope you enjoy this as much as I! More physicsstuff coming soon. dac