Title:	The busbar of a rectangular cross-section: the magnetic field
Authors:	Piątek, Zygmunt Kusiak, Dariusz
Citation:	AMTEE ’07 : seventh international conference on Advanced Methods in the Theory of Electrical Engineering : September 10-12, 2007 [Pilsen, Czech Republic].
Issue Date:	2007
Publisher:	University of West Bohemia
Document type:	konferenční příspěvek conferenceObject
URI:	http://amtee.zcu.cz/AMTEE/ArchivedProceedings/proceedings_AMTEE_2007/data/section_i.html http://hdl.handle.net/11025/25780
ISBN:	978-80-7043-564-9
Keywords:	magnetické pole;přípojnice;Mathematica
Keywords in different language:	magnetic field;busbar;Mathematica
Abstract in different language:	This analysis is going to present the example of determining the magnetic field in a busbar of a rectangular cross-section with a finite length and in its surroundings using Mathematica programme. The solution obtained is going to be used, by Mathematica programme, to describe the magnetic field in the surroundings of a ribbon busbar with a finite length. Mathematica programme is a good and convenient tool for analytical, by the integration function and conversion of the analytical solutions, determination of the field quantities and for graphical visualisation of the obtained final solutions. The components of magnetic field intensity in a busbar of a rectangular cross-section with a finite length for different values of cross-section can be determined by applying Biot-Savart law. Analytical equation describing magnetic field intensity in a busbar of rectangular cross-section with a finite length as well as its graphical visualisation have been obtained by using Mathematica programme in solving the integral calculi and in cancellation of algebraic expressions. Mathematica programme also enabled to describe the magnetic field in the analytical form for the case of a ribbon busbar. The derived formulas describing the magnetic field in the busbar of rectangular cross-section and finite length are complicated and it is difficult to predict the change of magnetic field distribution after the change of ratio of the transverse dimensions of this busbar, for example, on the basis of these formulas. However Mathematica programme provides a ready-made instrument to get a quick visualisation of the obtained solutions.
Rights:	© University of West Bohemia
Appears in Collections:	CPEE – AMTEE 2007 CPEE – AMTEE 2007

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