Combining Physics and Mathematics Learning: A Taylor Series Analysis of an Oscillating Magnetic Field
Submitted: 2024-10-26
|Accepted: 2025-01-29
|Published: 2025-04-14
Copyright (c) 2025 S. Ortuño-Molina, A. Garmendía-Martínez, P. Fernández de Córdoba, J. C. Castro-Palacio, J. A. Monsoriu, F. M. Muñoz-Pérez
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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Keywords:
Smartphone, sensors, magnetometer, magnetic field, Taylor series
Supporting agencies:
Generalitat Valenciana
Instituto de Ciencias de la Educación de la Universitat Politècnica de València
Abstract:
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.
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