Mutual inductance and magnetic force calculations for coaxial bitter disk coils (Pancakes)

Recently Y. Ren and J.T. Conway calculated the mutual inductance and the magnetic force between an ordinary coil and a bitter coil or between two bitter coils. The bitter coil is the coil with inverse radial current density. In this study, the authors calculate the mutual inductance and the magnetic force between two disk coils (pancakes) with inverse radial current density. This coil configuration with proposed current density seems to be similar to bitter coils. Both calculations give the semi-analytical expressions either for mutual inductance or for the magnetic force. Also they derived the self-inductance for the disk coil with radial current density which is obtained in closed form. The results of this method are compared by those obtained by the modified filament method for the presented configuration.

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