Combining Physics and Mathematics Learning: A Taylor Series Analysis of an Oscillating Magnetic Field

• Ortuño-Molina, S. ^[1] ; Garmendía-Martínez, A. ^[1] ; Fernández de Córdoba, P. ^[1] ; Castro-Palacio, J. C. ^[1] ; Monsoriu, J. A. ^[1] ; Muñoz-Pérez, F. M. ^[1]
  1. [1] Universidad Politécnica de Valencia

     Universidad Politécnica de Valencia

     Valencia, España

     
• Localización: Multidisciplinary Journal for Education, Social and Technological Sciences, ISSN-e 2341-2593, Vol. 12, Nº. 1, 2025, 94 págs.
• Idioma: inglés
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• Resumen

  • In this work, we present a simple and low-cost experiment designed to study the oscillations of the magnetic field created by a cylindrical magnet under two different conditions: far and short distances from the magnetic sensor. A Taylor’s series expansion of the magnetic field function has been done to study the convergence of the polynomial series to the real field in both situations. To carry out the experiment, a small cylindrical magnet has been attached to an oscillating and well-known spring-mass system. The resulting oscillating magnetic field has been registered with the smartphone by using the magnetometer sensor. A very good agreement has been obtained between the theoretical model for the magnetic field and the experimental data collected with the sensor located near and far from a cylindrical magnet and along its longitudinal axis.