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Nice job Finn. Ideally it would be nice to make it out of a single length of tubing but that's more difficult to make in practice. As you have found, using C segments is easiest and works just fine.
Here's an example coil I did a design of using the swirly toroid.
Here are the parametric eqns for you to play with:
Implicit: (R - Sqrt(x^2 + y^2))^2 + z^2 = r^2
Parametric:
x(t) = (R + rcos(qt)) cos(pt) = x (qt, pt) y(t) = (R + rcos(qt)) sin(pt) = y (qt, pt) z(t) = r sin(qt) = z (qt, pt)
R is the major radius, r is the minor radius, and parameters p and q define the shape of the spiral torus. Note that if p and q have a common factor, than the torus will consist of more than one 'loop'.
Registered Member #54503
Joined: Sun Feb 22 2015, 10:35PM
Location: New Zealand
Posts: 288
Antonio wrote ...
The "body capacitance" of a conductor depends essentially on its size, not on its area. A sphere has the largest capacitance for a given maximum diameter, but other shapes with less area are not far behind. As examples, a sphere with 1 m of diameter has 55.6 pF of capacitance, a disk 35.4 pF, a prolate spheroid with 1 m x 0.01 m (almost a straight rod) has 10.5 pF. The only problem with a toroid made with tubes is smaller breakdown voltage, but this may be not a problem when most of these coils use breakdown points to reduce it.
OK thats quite interesting, i was wondering if the physics was size rather than area.
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Reverse engineering the ZRG toroid
