Use of Maple to Analytically Solve the Equations of an Electrical Circuit Containing a Resistor, Diodes and Voltage Generator

Journal of computer sciences

article

M’hamed El Aydi¹  Mohammed Barkatou²  Rachid Bendaoud³  Mohammed Sbaa⁴  Said Bounouar³ 

[1] Regional Centre of the Jobs of Education and Training;UCD;U.C.D;Faculty of Sciences and Technology

关键词: The PN Junction Diode;    Dynamical Resistances the Diodes;    Lambert W Function;    Maple Software;    Saw Tooth Excitation Voltage;   

DOI  :  10.3844/jcssp.2020.1669.1683

学科分类：计算机科学（综合）

来源: Science Publications

【 摘 要 】

The role of technology and the use of software in the educational process are growing in recent times. The use of software is essential especially if the analytical method available is too complicated for the students. In this study, we used the Maple software to deal with two physics problems, in the first problem we consider an electrical circuit containing a resistor and two diodes powered by a sinusoidal voltage generator and in the second problem we consider an electrical circuit containing a resistor and a diode powered by a saw tooth voltage generator. For each problem we use Maple software to determine the exact analytical solutions for the current flowing in the different branches of the electronic circuit, we derive analytical expressions for the terminal voltages of all the elements of the circuit, we calculate the dynamic resistances diodes of the circuit and we animate graphic representations to study the influence of certain parameters on the current and the voltages at the terminals of all the elements of the circuit. The analytical solutions proposed are all expressed as functions of the Lambert W function.

【 授权许可】

CC BY