Modeling of fundamental electronic circuits by the Euler method using the Python programming language

Abstract

In this work three examples of textbook circuits (resistor-capacitor, resistor-inductor and resistor-inductor-capacitor) have been modeled by employing the Euler method for the approximate solution of differential equations using algorithms implemented in the Python programming language. The aim of this work was to demonstrate how simple, yet highly effective, algorithms can be neatly implemented in one of the currently most popular programming languages for scientific applications. At the same time, the visualization of the results allows for a detailed introduction to the properties of the circuits most frequently commented on in all the relevant textbooks. Our code, as provided to the reader, includes detailed comments, and can easily be modified to model other similar systems. Instructions on how to prepare tasks for students have been also provided.

Numerical modelling of a charged pendulum above a grounded conducting surface

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Animações de conceitos da teoria de erros usando Manim/Python

“…A interação com objetos e com experimentos virtuais [13][14][15] e a execução de simulações [16] também tem sido facilitadas com o uso de bibliotecas gráficas para visualização 3D (VPython). Já bibliotecas que permitem realizar cálculos numéricos (numpy) e fazer gráficos (matplotlib) foram usadas para modelar circuitos eletrônicos [17]. A integração do Python com computadores e sensores facilitou atividades de Física experimental como, por exemplo, a medição da aceleração da gravidade [18], a análise de vibrações [19] e a criação de interfaces gráficas e manipulação de dados de experimentos envolvendo o plano inclinado, viscosímetro e o pêndulo simples [20], enquanto a biblioteca uncertainties foi usada para calcular as incertezas experimentais da tensão e corrente elétrica, empregandose a Lei de Ohm [21].…”

Euler’s Numerical Method for Ions Rejection Reassessment of a Defect-Free Synthesized Nanofiltration Membrane with Ultrathin Titania Film as the Selective Layer

“…Recognizing, furthermore, that a good model should contain the complex phenomena that govern the separation mechanisms to improve not only the physical robustness but also the relevance of the description of the process, in this study, a simple and direct computing method is applied with a small step-size and the results obtained are very interesting. Euler's numerical method can therefore be used to approximate the solution of differential equations that cannot be resolved in traditional ways, like the ways we use it to solve exact, separable, and even linear differential equations [42][43][44][45][46].…”