Solution of the Cauchy Problem in Fourier Series for a Linear RC Circuit with a Resistor and Two Capacitors

dc.contributor.authorÖzkutlu, Numan Derda
dc.contributor.authorAlisoy, Hafız
dc.contributor.authorAlisoy, Gülizar
dc.date.accessioned2024-10-29T17:55:14Z
dc.date.available2024-10-29T17:55:14Z
dc.date.issued2023
dc.departmentTekirdağ Namık Kemal Üniversitesi
dc.description.abstractAs it is known, solutions obtained in terms of Fourier series are widely used for more detailed analysis of mathematical models defined for different engineering problems. In this study, for the mathematical analysis of transient events in active RC based linear electronic circuits, the Cauchy problem is defined and solved in terms of Fourier series. For this reason, first of all, the mathematical model needed for the mathematical definition of the investigated problem was created. Based on the defined mathematical model, a quadratic differential equation for the linear RC electric circuit is obtained and the voltage and current changes are analysed for simple special cases using the Fourier series. As a result, mathematical modelling of transient processes occurring in linear RC circuits and mathematical problems defined as the Cauchy problem for such circuits have been solved analytically. It is thought that the results of the research will contribute theoretically and practically to the solution of the problems that arise in the study and design automation of different electronic circuits containing nonlinear circuit elements.
dc.identifier.doi10.54370/ordubtd.1294863
dc.identifier.endpage173
dc.identifier.issn2146-6440
dc.identifier.issn2146-6459
dc.identifier.issue2en_US
dc.identifier.startpage163
dc.identifier.trdizinid1219113
dc.identifier.urihttps://doi.org/10.54370/ordubtd.1294863
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1219113
dc.identifier.urihttps://hdl.handle.net/20.500.11776/13909
dc.identifier.volume13
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.relation.ispartofOrdu Üniversitesi Bilim ve Teknoloji Dergisi
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectMathematical Model
dc.subjectFourier Series
dc.subjectElectronics
dc.subjectDifferential Equations
dc.subjectRC Circuit
dc.titleSolution of the Cauchy Problem in Fourier Series for a Linear RC Circuit with a Resistor and Two Capacitors
dc.typeArticle

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