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A generalized Biot–Savart law and its application to the active scalar equations

Nonlinearity
In this paper, we study a generalized Biot–Savart law for suitable velocity that possibly diverges at infinity, and then show its application to the 2D general incompressible inviscid fluids.
Qionglei Chen, Xiaonan Hao, Chao Wang
semanticscholar   +1 more source

Derivation of Biot-Savart Law and Lorenz Force and Unification of Gravitational and Electromagnetic Forces

Journal of Physics & Optics Sciences
We have derived the empirical Biot-Savart law and Lorenz force as well as the dynamic term of the gravitational force based on Ether Dynamics. The dynamic term of gravitation, together with the static term of Newton’s law of gravitation, allows ...
L. Wang
semanticscholar   +1 more source

Transmission line sag and magnetic field analysis with sag parabolic equations and Biot-Savart law

International Journal of Electrical and Computer Engineering (IJECE)
This study presents a novel approach to enhance the precision of calculating sag and magnetic fields beneath overhead transmission lines. The Biot-Savart law is integrated with parabolic equations to assign multiple magnetic field sources to each ...
M. Ahsan   +9 more
semanticscholar   +1 more source

Fast and Accurate Evaluation of Biot-Savart Integrals over Spatial Curves in Periodic Domains

SIAM Journal on Scientific Computing
The Biot-Savart law is relevant in physical contexts including electromagnetism and fluid dynamics. In the latter case, when the rotation of a fluid is confined to a set of very thin vortex filaments, this law describes the velocity field induced by the ...
J. I. Polanco
semanticscholar   +1 more source

Time-Generalized Biot-Savart Law for $$$B_1$$$, $$$B_1^+$$$, and $$$B_1^-$$$ Field Computations up to 7T MRI

ISMRM Annual Meeting
Numerous methods for field computations of RF coils have been developed in the past. All these methods are based on Maxwell's equations or their derived wave equation.
Mirsad Mahmutovic   +2 more
semanticscholar   +1 more source

A study for designing an ESL-cancelling circuit for shunt capacitor filters based on the biot-savart law

2017 IEEE International Symposium on Electromagnetic Compatibility & Signal/Power Integrity (EMCSI), 2017
S. Yoneda   +4 more
semanticscholar   +1 more source

Computation of neuromagnetic fields using finite-element method and Biot-Savart law

Medical and Biological Engineering and Computing, 2007
S. P. V. D. Broeh, H. Zhou, M. Peters
semanticscholar   +1 more source

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