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undergraduate thesis
Numeričko određivanje putanje naboja u elektromagnetskom polju
Split: University of Split, University of Split, Faculty of science, 2021. urn:nbn:hr:166:479817
Svilan, Leonard
University of Split
Faculty of Science
Department of Physics

Institutional repository: Repository of Faculty of Science

Cite this document

Svilan, L. (2021). Numeričko određivanje putanje naboja u elektromagnetskom polju (Undergraduate thesis). Split: University of Split, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:166:479817

Svilan, Leonard. "Numeričko određivanje putanje naboja u elektromagnetskom polju." Undergraduate thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:479817

Svilan, Leonard. "Numeričko određivanje putanje naboja u elektromagnetskom polju." Undergraduate thesis, University of Split, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:166:479817

Svilan, L. (2021). 'Numeričko određivanje putanje naboja u elektromagnetskom polju', Undergraduate thesis, University of Split, Faculty of Science, accessed 29 December 2024, https://urn.nsk.hr/urn:nbn:hr:166:479817

Svilan L. Numeričko određivanje putanje naboja u elektromagnetskom polju [Undergraduate thesis]. Split: University of Split, Faculty of Science; 2021 [cited 2024 December 29] Available at: https://urn.nsk.hr/urn:nbn:hr:166:479817

L. Svilan, "Numeričko određivanje putanje naboja u elektromagnetskom polju", Undergraduate thesis, University of Split, Faculty of Science, Split, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:166:479817

Metadata
TitleNumeričko određivanje putanje naboja u elektromagnetskom polju
Title (english)Numerical determination of the trajectory of a charged particle inside an electromagnetic field
AuthorLeonard Svilan
MentorToni Šćulac (mentor)
Committee memberToni Šćulac (predsjednik povjerenstva)
Committee memberMile Dželalija (član povjerenstva)
Committee memberPetar Stipanović (član povjerenstva)
GranterUniversity of Split
Faculty of Science
(Department of Physics)
Split
Defense date and country2021-09-24, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract
Na naboj koji se kreće u elektromagnetskom polju djeluje Lorentzova sila. Takvo gibanje je u većini slučajeva nemoguće analitički riješiti te ga moramo izračunati numerički. Za rješavanje problema koristiti ćemo dvije najpopularnije numeričke metode, Euler-ovu i Runge-Kutta metodu te ćemo ih usporediti da vidimo koja je efikasnija te u kojem slučaju je bolje koristiti jednu ili drugu metodu. Određivanje optimalne metode za specifične uvjete nam olakšava izradu simulacije te štedi vrijeme i resurse koji su nam često ograničeni. Svi podaci dobiveni su iz simulacija napisanih u programskom jeziku Python. Za usporedbu preciznosti metoda koristili smo slučajeve kada poznajemo analitičko rješenje kako bi lakše i preciznije mogli usporediti naše metode. U konačnici ćemo uočiti da je Runge-Kutta bolja metoda neovisno o uvjetima i resursima koje imamo na raspolaganju.
Abstract (english)
Lorentz force acts on a charged particle moving inside an electromagnetic field. Such a motion is in most cases impossible to solve analytically and we must calculate it numerically. To solve the problem we will use the two most popular numerical methods, Euler's and Runge-Kutta's method, and we will compare them to see which is more efficient and in which case it is better to use one or the other method. Determining the optimal method for specific conditions makes it easier for us to create a simulation and saves time and resources that are often limited. All data was obtained from simulations written in the Python programming language. To compare the accuracy of the methods, we used cases where we know the analytical solution so that we could more easily and accurately compare out methods. Ultimately we will notice that Runge-Kutta is the better method.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:166:479817
Study programmeTitle: Physics and Computer Science
Study programme type: university
Study level: undergraduate
Academic / professional title: sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike i informatike (sveučilišni/a prvostupnik/prvostupnica (baccalaureus/baccalaurea) fizike i informatike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) icon
Created on2021-11-04 14:33:46