Inductance

["Tesla list" <tesla-at-pupman-dot-com>]

Original poster: "Godfrey Loudner by way of Terry Fritz <twftesla-at-qwest-dot-net>" <ggreen-at-gwtc-dot-net>

Hello All

I found an internet article by Marc Thompson that describes a curious way of
calculating inductance.
The primary reference is Electromagnetic Field Theory: A Problem Solving
Approach, Markus Zahn,
John Wiley, 1979. It is know that the speed of light c = 1/Sq[magnetic
permeability x dielectric permittivity]
where Sq[x] is the square root of x. Let L' and C' denote inductance and
capacitance per unit length respectively.
Then c^2 = 1/(L'C'). This I did not know about this until tonight.
Then we have L' = (magnetic permeability x dielectric permittivity)/C'.

For example take a coaxial cable of length l, inner radius a, and outer
radius b. Even I know that
inductance L = (magnetic permeability/2Pi)(l)ln[b/a] and capacitance C =
2Pi(dielectric permittivity)l/ln[b/a].
Then L' = L/l = (magnetic permeability/2Pi)ln[b/a] and C' = C/l =
2Pi(dielectric permittivity)/ln[b/a]. Then we
see that L' = (magnetic permeability x dielectric permittivity)/C' is
satisfied. Nice in my mind!

I was wondering if anyone thinks this can be applied to tesla coil
calculations?

Godfrey Loudner