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Abstract:

We present the results of an experimental study of the implications of the Neumann and Dirichlet boundary conditions on the solution of two-dimensional electrostatic problems. The experimental setup is simple and low cost. The experimental results are compared with theoretical expectations using a spreadsheet program to solve Laplace's equation with the appropriate boundary conditions. Excellent agreement is found between the experimental results and the calculations. The simplicity of the experiment and of the theoretical interpretation makes this experiment accessible to beginning students. © 2002 American Association of Physics Teachers.

Registro:

Documento: Artículo
Título:Experimental study of the neumann and dirichlet boundary conditions in two-dimensional electrostatic problems
Autor:Gil, S.; Saleta, M.E.; Tobia, D.
Filiación:Departamento de Física, Universidad de Buenos Aires, Buenos Aires, Argentina
Escuela de Ciencia y Tecnologia, Universidad Nacional de San Martin, Buenos Aires, Argentina
Año:2002
Volumen:70
Número:12
Página de inicio:1208
Página de fin:1213
DOI: http://dx.doi.org/10.1119/1.1509418
Título revista:American Journal of Physics
Título revista abreviado:Am. J. Phys.
ISSN:00029505
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029505_v70_n12_p1208_Gil

Referencias:

  • Jackson, J.D., (1998) Classical Electrodynamics, 3rd ed., , Wiley, New York, Chaps. 1 and 2
  • Panofsky, W.K.H., Philips, M., (1962) Classical Electricity and Magnetism, 2nd ed., , Addison-Wesley, Reading, MA, Chaps. 4 and 7
  • Reitz, J.R., Milford, J.R., Christy, R.W., (1993) Foundations of Electromagnetic Theory, 4th ed., , (Addison-Wesley, Reading, MA, Chaps. 3 and 7
  • Distancio, M., Harris, W.C., Electrostatic problems? Relax! (1979) Am. J. Phys., 47, pp. 440-444
  • Kaplan, B., Comment on: Electrostatic problems? Relax! (1982) Am. J. Phys., 50, p. 964
  • Macdonald, W., Discretization and truncation error in numerical solution of Laplace's equation (1992) Am. J. Phys., 62, pp. 169-173
  • Murata, H., Sakuraoka, M., Electrostatic potential on laboratory measurement experiment (1980) Am. J. Phys., 48, pp. 763-766
  • Canova, B.P., Laplace's equation in freshman physics (1992) Am. J. Phys., 60, pp. 135-138
  • www.fisicarecreativa.com, Web site dedicated to experimental physics. It contains experimental projects using new technologies and reports of experiments performed by undergraduate students from different universities of Latin America; Horn, J., Electrostatic landscape (1997) Phys. Teach., 35, pp. 499-501

Citas:

---------- APA ----------
Gil, S., Saleta, M.E. & Tobia, D. (2002) . Experimental study of the neumann and dirichlet boundary conditions in two-dimensional electrostatic problems. American Journal of Physics, 70(12), 1208-1213.
http://dx.doi.org/10.1119/1.1509418
---------- CHICAGO ----------
Gil, S., Saleta, M.E., Tobia, D. "Experimental study of the neumann and dirichlet boundary conditions in two-dimensional electrostatic problems" . American Journal of Physics 70, no. 12 (2002) : 1208-1213.
http://dx.doi.org/10.1119/1.1509418
---------- MLA ----------
Gil, S., Saleta, M.E., Tobia, D. "Experimental study of the neumann and dirichlet boundary conditions in two-dimensional electrostatic problems" . American Journal of Physics, vol. 70, no. 12, 2002, pp. 1208-1213.
http://dx.doi.org/10.1119/1.1509418
---------- VANCOUVER ----------
Gil, S., Saleta, M.E., Tobia, D. Experimental study of the neumann and dirichlet boundary conditions in two-dimensional electrostatic problems. Am. J. Phys. 2002;70(12):1208-1213.
http://dx.doi.org/10.1119/1.1509418