Electric current is mathematically treated as a scalar quantity in specific contexts
Electric current and its associated fields are frequently modeled using scalar quantities, such as the electric scalar potential, to simplify mathematical formulations and computational analyses in electromagnetic systems.
The retrieved papers provide clear technical evidence that electric current-related phenomena and Maxwell's equations in specific contexts (such as eddy current analysis, magnetic scalar potential formulations, and numerical magnetohydrodynamics) are mathematically modeled using scalar quantities like the electric scalar potential.
Jong Oh Park, Jun Seong Lee, I. Park. Magnetic Field Analysis of Electric Current in Coplanar Coils Using Equivalent Permanent Magnetization and Magnetic Scalar Potential. 2024. https://doi.org/10.1109/ACCESS.2024.3354060
Paper [3] describes the mathematical transformation of current density into equivalent scalar potentials to simplify magnetic field analysis.
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Numerical study of the induced electric current of electrovortex flow in a cuboid vessel: electric scalar and magnetic vector potential formulations. 2022. https://doi.org/10.22364/mhd.58.1-2.12
Paper [7] explicitly utilizes electric scalar potential formulations alongside magnetic vector potentials to model induced electric currents.
Seung-Eun Rho, I. Park. Frequency Derivatives of Eddy Current System Including Electric Scalar Potential. 2024. https://doi.org/10.1109/TMAG.2023.3312665
Paper [8] expresses eddy current systems using an electrical scalar potential to derive frequency sensitivities analytically.
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