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Symbolic Computation and Graphic Presentation of Magneto-Static Field and Its Associated Vector Potential for a Steady Looping Current

Author(s): Haiduke Sarafian

Journal: Journal of Electromagnetic Analysis and Applications
ISSN 1942-0730

Volume: 03;
Issue: 05;
Start page: 172;
Date: 2011;
Original page

Keywords: Magneto-Static Field of a Looping Current | Vector Potential | Symbolic Computation | Mathematica

With the advent of Computer Algebra System (CAS) such as Mathematica [1], challenging symbolic longhand calcula-tions can effectively be performed free of error and at ease. Mathematica’s integrated features allow the investigator to combine the needed symbolic, numeric and graphic modules all in one interactive environment. This assists the author to focus on interpreting the output rather than exerting the efforts of relating the scattered separate modules. In this note the author, utilizing these three features, explores the magneto-static field and its associated vector potential of a steady looping current. In particular by deploying the numeric features of Mathematica the exact value of the vector potential of the looping current conducive to its 3D graph is presented.
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