Bitter coils are electromagnets used for the generation of extremely strong magnetic fields superior to 30 T. In this paper we calculate\nthe mutual inductance and the magnetic force between Bitter disk (pancake) coil with the nonlinear radial current and the circular\nfilamentary coil with the azimuthal current. The close form expressed over complete elliptic integrals of the first and second kind as\nwell as Heuman�s Lambda function is obtained for this configuration either for themutual inductance or for the magnetic force.The\nresults of this method are compared with those obtained by the improved modified filament method for the presented configuration.\nAll results are in an excellent agreement.
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