Calculation of magnetic stiffness over torque between two current-carrying circular filaments arbitrarily positioning in the space

The sets of expressions for calculation of sixteen components of magnetic stiffness over torque between two current-carrying circular filaments arbitrarily positioning in the space are derived by using mutual inductance and Grover’s method. The expressions are presented in the analytical form via in...

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Bibliographic Details
Published in:Journal of magnetism and magnetic materials 2024-08, Vol.603, p.172202, Article 172202
Main Authors: Poletkin, Kirill, Babic, Slobodan
Format: Article
Language:English
Subjects:
Circular filaments
Magnetic force
Magnetic stiffness
Magnetic torque
Mutual inductance
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Summary:The sets of expressions for calculation of sixteen components of magnetic stiffness over torque between two current-carrying circular filaments arbitrarily positioning in the space are derived by using mutual inductance and Grover’s method. The expressions are presented in the analytical form via integral equations, whose kernels include the elliptic functions of first and second kinds. The derived sets of formulas were mutually validated and results of calculation of components of magnetic stiffness agree well to each other. •A set of formulas for calculation of 16 components of magnetic stiffness over torque were derived.•Formulas are presented in an analytical form through integral expressions.•Formulas were derived by using the mutual inductance method.
ISSN:0304-8853
DOI:10.1016/j.jmmm.2024.172202