Calculation of the Nagaoka Coefficient (R = coil radius, L = coil length)
Author: kimioChanExecutions: 150306
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| k2= | |
| Nagaoka coefficient Kn= |
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Since calculating the Nagaoka coefficient requires the value of a complete elliptic integral, I had previously
been using a program written in JavaScript to perform the calculation. However, by using the elliptic integral
available in the mathematical formula library, the calculation can be done with a simple program,
so I have registered it.
k = 1/sqrt(1 + (L/(2*R))^2)
k2 = k^2
Kn = (4/(3*pi*sqrt(1-k2)) * (((1-k2)/k2) * ellipticK(k) - ((1-2*k2)/k2) * ellipticE(k) - k)