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}
}
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References

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Calculation of magnetic force and torque between two arbitrarily oriented circular filaments using Kalantarov-Zeitlin’s method

  • K. Poletkin
  • Engineering
    International Journal of Mechanical Sciences
  • 2022

Calculation of force and torque between two arbitrarily oriented circular filaments using Kalantarov-Zeitlin's method

In this article, formulas for calculation of force and torque between two circular filaments arbitrarily oriented in space were derived by using Kalantarov-Zeitlin’s method. Formulas are presented in…

Efficient calculation of the mutual inductance of arbitrarily oriented circular filaments via a generalisation of the Kalantarov-Zeitlin method

Mutual Inductance Calculation Between Circular Filaments Arbitrarily Positioned in Space: Alternative to Grover's Formula

In this paper, we present the full derivation of a new formula for calculating the mutual inductance between inclined circular filaments arbitrarily positioned with respect to each other. Although…

Magnetic Force Between Inclined Circular Filaments Placed in Any Desired Position

This paper presents new general formulas for calculating the magnetic force between inclined circular filaments placed in any desired position. We use two approaches to calculate the magnetic force,…

Vector Potential, Magnetic Field, Mutual Inductance, Magnetic Force, Torque and Stiffness Calculation between Current-Carrying Arc Segments with Inclined Axes in Air

In this paper we give the improved and new analytical and semi-analytical expression for calcu-lating the magnetic vector potential, magnetic field, magnetic force, mutual inductance, torque, and…

Magnetic Force Calculation Between Circular Coils of Rectangular Cross Section with Parallel Axes for Superconducting Magnet

The electromagnetic force between two misaligned coils (coils with parallel axes) with uniform current density distribution and rectangular cross section based on the derived semi-analytical…

Magnetic Force Calculation Between Thin Coaxial Circular Coils in Air

We present new and fast procedures for calculating magnetic forces between thin coaxial circular coaxial coils in air. The results are expressed in semianalytical form in terms of the complete…

MUTUAL INDUCTANCE AND FORCE EXERTED BETWEEN THICK COILS

We present exact three-dimensional semi-analytical ex- pressions of the force exerted between two coaxial thick coils with rect- angular cross-sections. Then, we present a semi-analytical formulation…

MAGNETIC FORCE BETWEEN INCLINED CIRCULAR LOOPS (LORENTZ APPROACH)

This paper presents a new general formula for calculating the magnetic force between inclined circular loops placed in any desired position. This formula has been derived from the Lorentz force…