Magnetic Stiffness Calculation for the Corresponding Force between Two Current-Carrying Circular Filaments Arbitrarily Oriented in the Space

@article{Poletkin2022MagneticSC,
  title={Magnetic Stiffness Calculation for the Corresponding Force between Two Current-Carrying Circular Filaments Arbitrarily Oriented in the Space},
  author={Kirill V. Poletkin and Slobodan Babic},
  journal={SSRN Electronic Journal},
  year={2022}
}
In this article, sets of analytical formulas for calculation of nine components of magnetic stiffness of corresponding force arising between two current-carrying circular filaments arbitrarily oriented in the space are derived by using Babic’s method and the method of mutual inductance (Kalantarov-Zeitlin’s method). Formulas are presented through integral expressions, whose kernel function is expressed in terms of the elliptic integrals of the first and second kinds. Also, we obtained an… 
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