Magnetic Field Induced by Straight Currents on the Hyperboloid

Published 4 Sep 2025 in physics.ed-ph | (2509.04407v1)

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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Determine the magnetostatic field in the continuum hyperboloid setup from boundary conditions

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Tomotoshi Nishino

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