The present work is addressed to high school students with scientific trend and it aims at supporting the pupils in learning two subjects: the solution of second order linear differential equations and the study of electric circuits. The two subjects are correlated because one of the presented methods to solve the differential equations uses the Laplace transform, and this is the best way to solve the integral-differential equations that are met in the study of the electric circuits. A package is created using a CAS as Mathematica. The package provides a theoretical framework and many exercises where the students are leaded step by step to solve the differential equations. Using this package equations describing electric circuits can be solved, and consequently physical quantities evolution (current intensity and voltage) can be obtained.

Laplace Transform and electrical circuits: an interdisciplinary learning tool

ALBANO, Giovannina;D'APICE, Ciro;DESIDERIO, MATTEO
2001

Abstract

The present work is addressed to high school students with scientific trend and it aims at supporting the pupils in learning two subjects: the solution of second order linear differential equations and the study of electric circuits. The two subjects are correlated because one of the presented methods to solve the differential equations uses the Laplace transform, and this is the best way to solve the integral-differential equations that are met in the study of the electric circuits. A package is created using a CAS as Mathematica. The package provides a theoretical framework and many exercises where the students are leaded step by step to solve the differential equations. Using this package equations describing electric circuits can be solved, and consequently physical quantities evolution (current intensity and voltage) can be obtained.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/1846193
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