Simulation of electric field lines produced by electric point charges

Authors

  • Marius-Florian PREDUS Dr. Eng., Babeș-Bolyai University, Faculty of Engineering, Piaţa Traian Vuia nr. 1-4, 320085 Reşiţa, Romania, marius.predus@ubbcluj.ro https://orcid.org/0000-0002-2350-9198
  • Cristian-Mircea MUSCAI PhD Stud. Eng., Polytechnic University of Bucharest, Faculty of Electrical Engineering, Splaiul Independenței 313, 060042 București, Romania, muscaicristian@yahoo.com (*corresponding author) https://orcid.org/0000-0002-6861-8988
  • Cornel HATIEGAN Lect. Dr. Eng., Babeș-Bolyai University, Faculty of Engineering, Piaţa Traian Vuia nr. 1-4, 320085 Reşiţa, Romania, cornel.hatiegan@ubbcluj.ro https://orcid.org/0000-0003-0923-1836

DOI:

https://doi.org/10.24193/subbeng.2022.1.20

Keywords:

differential equations, electrical field, simulation.

Abstract

The paper proposes o method of solving differential equations using Runge-Kutta method and presents an application made in a Visual programming language that solves two differential equations step by step drawing the graph obtained for two electrically charged particles that interact by their electrical fields.

References

Demsoreanu B., Metode numerice cu aplicații in fizică, Editura AcademieiRomâne, 2005

Sorea, D., Lungoci, C., Scutaru G., Metode numerice cu aplicații în ingineria electrică. Curs aplicativ, Editura Universității Transilvania Braşov, 2009.

Burrage K., Parallel and Sequential Methods for Ordinary Differential Equations, Numer. Math. Sci. Comput., Oxford University, New York, 1995.

Butcher J.C., Numerical Methods for Ordinary Differential Equations, 2nd ed., John Wiley & Sons, Chichester, 2003.

Shampine L.F., Numerical Solution of Ordinary Differential Equations, Chapman & Hall, New York, 1994.

Ketcheson D.I., BinWaheed U., A comparison of high-order explicit Runge-Kutta, extrapolation, and deferred correction methods in serial and parallel, Communications in applied mathematics and computational science, 9(2), 2014, pp.175 – 200.

Scutaru G., Metode numerice, Editura Universității Transilvania Braşov, 2003.

Haţiegan C., Suciu L., Fizică Tehnologică. Teorie şi aplicaţii, Editura Eftimie Murgu, Resita, 2010.

Hatiegan C., Stroia M.-D., Popescu C., Muscai C.-M., Application for Simulating and Analysis of a Serial R-L-C Circuit, Analele Universităţii Constantin Brâncuşi din Târgu-Jiu - Seria Inginerie, 3, 2020.

Stroia M.-D., Hatiegan C., Muscai C.-M., Simulating an improved algorithm for propagation of transverse oscillations through a string, Studia Universitatis Babeş-Bolyai Engineering, 65(1), 2020.

Schneider D., An Introduction to Programming Using Visual Basic, 9th Edition, Pearson, 2013, USA.

Newsome B., Beginning Visual Basic 2015, Wrox, USA, 2015.

Alexander R., Diagonally implicit Runge–Kutta methods for stiff O.D.E.s, SIAM J. Numer. Anal. 14(6), 1977, pp. 1006–1021.

Zlatev Z., Dimov I., Faragó I., Havasi Á., Richardson Extrapolation: Practical Aspects and Applications, De Gruyter Ser. Appl. Numer. Math. 2, De Gruyter, Berlin, 2018.

Durham Jr. H.L., Francis Jr. O.B., Gallaher L.J., Hale Jr. H.G., Perlin I.E., Final Report: Study of methods for the numerical solution of ordinary differential equations: Final report. 9 Nov. 1963 - 8 Nov. 1964. NASA, Huntsville, AL, Georgia Institute of Technology, Engineering Experiment Station, Atlanta, Georgia, 1965.

STUDIA UBB ENGINEERING, Volume 67 (LXVII), No. 1, November 2022

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Published

2022-11-11

How to Cite

PREDUS, M.-F., MUSCAI, C.-M., & HATIEGAN, C. (2022). Simulation of electric field lines produced by electric point charges. Studia Universitatis Babeș-Bolyai Engineering, 67(1), 209–215. https://doi.org/10.24193/subbeng.2022.1.20

Issue

Volume 67, No. 1, November 2022

Section

Articles

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Copyright (c) 2022 Studia Universitatis Babeș-Bolyai Engineering

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