Literaturnachweis - Detailanzeige
Autor/inn/en | Bissell, J. J.; Nagaitis, A. M. |
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Titel | Infinity, Self-Similarity, and Continued Fractions in Physics: Applications to Resistor Network Puzzles |
Quelle | In: Physics Education, 57 (2022) 5, Artikel 055014 (6 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0031-9120 |
Schlagwörter | Science Instruction; Physics; Puzzles; Scientific Concepts; Concept Formation; Problem Solving; Fractions; Equations (Mathematics); Secondary School Science; High Schools; College Science; Undergraduate Study |
Abstract | Puzzles involving infinite networks of resistors are an engaging way for students to explore the idea of infinity and self-similarity in physics. Recently K Atkin has described one such puzzle, alongside a solution based on an equivalent finite network (2022 "Phys. Educ." 57 025015). Here we present a generalisation of this problem which showcases an important perspective on infinity as the limit of a process, and an alternative method of solution using continued fractions. We illustrate how our method can be used to devise new network puzzles suitable for class challenge problems. (As Provided). |
Anmerkungen | IOP Publishing. 190 North Independence Mall West Suite 601, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: ped@ioppublishing.org; Web site: https://iopscience.iop.org/journal/0031-9120 |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2024/1/01 |