Symbolic Computation and Graphic Presentation of Magneto-Static Field and Its Associated Vector Potential for a Steady Looping Current
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Abstract
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.
- S. Wolfram, “The Mathematica Book,” 4th Edition, Cambridge, 1999.
- H. Sarafian, “A Halo Current and the Magnetic Field of a Nut-Shaped Magnet, Invited Paper, Research Insti-tute for Mathematical Science (REMS),” Kyoto University, Japan, in Press, 2011.
- D. Halliday, R. Resnik and J. Walker, “Fundamental of Physics,” 9th Edition, Wiley and Sons, Hoboken, 2010.
- J. Reitz and F. Milford, “Founda-tions of Electromagnetic Theory,” Addison-Wesley Publishing Company Inc., Boston, 1960.
- J. D. Jackson, “Classical Electrodynamics,” 3rd Edition, John Wiley, Hoboken, 1998.
- M. Spiegel, “Vector Analysis,” Schaum Series, 1959.
- Mathematica V 8.0.1, Wolfram Research Inc., Champaign, 2011.