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Research Article

Applications of Mathematics in Circuit Theory


Author(s): A.Alwin
Affiliation: SCSVMV University, Kanchipuram .Email: alwin.best111@gmail.com
Year of Publication: 2014
Source: International Journal of Computing Algorithm
     
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Citation: A.Alwin. "Applications of Mathematics in Circuit Theory." International Journal of Computing Algorithm 3.1 (2014): 37-39.

Abstract:
Application of Gaussian in circuit theory, using Kirchhoff’s 2nd law. In this paper for a given circuit, forming into matrices form by using Kirchhoffs 2nd law we solve and find the current values. Less than 3x3 matrices we can use Carmels rule, but more that 3x3, Carmes cannot be done, so gauss elimination method is used to find the current values for the given circuits


Keywords OHMS LAW,KIRCHHOFF LAW


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@article{App1458033, author = {A.Alwin}, title = {Applications of Mathematics in Circuit Theory}, journal={International Journal of Computing Algorithm}, volume={3}, issue={1}, issn = {2278-2397}, year = {2014}, publisher = {Scholarly Citation Index Analytics-SCIA} }

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  • [4] Dorf and Svoboda, Introduction to Electric Circuits, Sixth Edition, John Wiley & Sons, 2004. ISBN 0471447951
  • [5] Farebrother, R.W. (1988), Linear Least Squares Computations, STATISTICS: Textbooks and Monographs, Marcel Dekker,ISBN 978-0- 8247-7661-9.
  • [6] Golub, Gene H.; Van Loan, Charles F. (1996), Matrix Computations (3rd ed.), Johns Hopkins, ISBN 978-0-8018-5414-9.
  • [7] Grcar, Joseph F. (2011a), "How ordinary elimination became Gaussian elimination", Historia Mathematica 38 (2): 163– 218,arXiv:0907.2397, doi:10.1016/j.hm.2010.06.003
  • [8] Grcar, Joseph F. (2011b), "Mathematicians of Gaussian elimination", Notices of the American Mathematical Society 58 (6): 782– 792
  • [9] Higham, Nicholas (2002), Accuracy and Stability of Numerical Algorithms (2nd ed.), SIAM, ISBN 978-0-89871-521-7.
  • [10] Kaw, Autar; Kalu, Egwu (2010). "Numerical Methods with Applications" (1st ed.). [1]. , Chapter 5 deals with Gaussian elimination

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