Elliptical Integrals of the First Kind Calculator

   This calculator finds the elliptical integral K(k) and shows each successive step until the final result is obtained. This method of calculation is used in our Coplanar Waveguide With Ground Calculator and the equations used are shown below.

Enter value k: 
Iteration (n)  an  bn  cn  K(k) at iteration N = n 
0        
1        
2        
3        
4        
5        
6        
7       K(k) =    Solution 
 

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These recursive equations were originally give for use in calculating the inductance of helical coils and are taken from Miller, H Craig, "Inductance Formula for a Single-Layer Circular Coil" Proceedings of the IEEE, Vol. 75, No 2, February 1987, pp. 256-257.

 The first iteration (n0) is calculated with the following formulas.

[Formula for the first iteration of a, b, c and K(k)]

Each successive iteration is then calculated with the following formulas until cN = 0 is within the required accuracy.

[Formula for the successive iterations of a, b, c and K(k)]

When cN = 0value the value for K(k) is the required answer.

This calculator is provided free by Chemandy Electronics in order to promote the FLEXI-BOX

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