منابع مشابه
Biot-Savart vs. Einstein-Laub Force Law
has been verified experimentally when the charge moves inside a magnetic medium for which B is much larger than μ0H [9]. 3 It is sometimes preferable that the force law be given in term of the total magnetic field on the current, in which case it is generally best (in the author’s opinion) to use the Maxwell stress tensor [8]. In 1908 Einstein and Laub [10, 11, 12] argued that the force density...
متن کاملEquivalence of the Ampere and Biot - Savart force laws in magnetostatics
The equivalence of the Ampere and Biot-Savart force laws in magnetostatics is examined by considering the difference in the forces predicted by the two laws. The conditions under which this force difference vanishes are discussed, with special reference to the question of convergence of the integrals involved. The conclusions are that a complete current distribution exerts forces, which are the...
متن کاملSignificance of solutions of the inverse Biot-Savart problem in thick superconductors
The evaluation of current distributions in thick superconductors from field profiles near the sample surface is investigated theoretically. A simple model of a cylindrical sample, in which only circular currents are flowing, reduces the inversion to a linear least squares problem, which is analyzed by singular value decomposition. Without additional assumptions about the current distribution (e...
متن کاملEvaluation of the Biot-Savart Integral for Deformable Elliptical Gaussian Vortex Elements
This paper introduces two techniques for approximating the Biot–Savart integral for deforming elliptical Gaussian functions. The primary motivation is to develop a high spatial accuracy vortex method. The first technique is a regular perturbation of the streamfunction in the small parameter = a−1 a+1 , where a2 is the aspect ratio of the basis function. This perturbative technique is suitable f...
متن کاملDerivation of the Biot-Savart equation from the nonlinear Schrödinger equation.
We present a systematic derivation of the Biot-Savart equation from the nonlinear Schrödinger equation, in the limit when the curvature radius of vortex lines and the intervortex distance are much greater than the vortex healing length, or core radius. We derive the Biot-Savart equations in Hamiltonian form with Hamiltonian expressed in terms of vortex lines,H=κ(2)/8π∫(|s-s'|>ξ(*))(ds·ds')/|s-s...
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ژورنال
عنوان ژورنال: European Journal of Physics
سال: 2001
ISSN: 0143-0807,1361-6404
DOI: 10.1088/0143-0807/22/1/304