HV_Equations.html
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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*N2 WHERE: F=End_Affects_Factor_Diam_over_Length; D=Coil_Diameter(IN); N=Number_of_Turns
  • __Parallel Resonant Frequency (Hz): f=1/2π/(LC).5WHERE: 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