Magnetic Field Induced by Straight Currents on the Hyperboloid

As an introductory exercise of elementary electrodynamics, we consider the static magnetic field induced by the electric currents flow along the straight wires, which are equidistantly put on the hyperboloid. The distribution of the magnetic field and the force acting on the wires are calculated under several typical setups, including the continuum limit.

Publication Details

Journal
ArXiv.org
Published
2025-09-04
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Magnetic Field Induced by Straight Currents on the Hyperboloid

ArXiv.org
Geochemistry and Geologic Mapping
article

Magnetic Field Induced by Straight Currents on the Hyperboloid

article en

Abstract

As an introductory exercise of elementary electrodynamics, we consider the static magnetic field induced by the electric currents flow along the straight wires, which are equidistantly put on the hyperboloid. The distribution of the magnetic field and the force acting on the wires are calculated under several typical setups, including the continuum limit.

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Magnetic Field Induced by Straight Currents on the Hyperboloid · ArXiv.org (2025) | TGRS Research Map | TGRS