Although, to put it mildly, I do not share all sorts of metaphysical theories enthusiasts Tesla coils and catchers "free energy ether", that is no reason to abandon the implementation of the calculation of such inductors, especially conical coil, which is often used in such devices. Conical coil can be calculated by the following empirical Harold Wheeler formulas, which Tesla was using:
N - number of turns
A - diameter of base of cone
B - diameter of top of cone
H - height of cone
W = (B - A)/2 - effective width of coil
Z - length of coil (along hypotenuse!) Z = √(W2 + H2)
X - cone angle (sin(X) = H/Z; cos(X) = W/Z)
R = A/2 + W/2 - average radius of coil
L1 = R2*N2/(9*R+10*H) - vertical component of inductance
L2 = R2*N2/(8*R+11*W) - horizontal component of inductance
L = √[(L1*Sin(X))2 + (L2*cos(X))2] - aggregate inductance of coil
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