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American Journal of Physics
written by Frederick Reif and Jill H. Larkin
Many physically important spatial integrals, such as those needed for finding electric or magnetic fields, can be calculated by a simple method based on elementary geometry, without the need to use the techniques of the calculus or advanced theorems (such as Gauss's or Ampere's laws). The method is practically useful, can provide physical insights, and is suitable for mathematically unsophisticated students in introductory courses. We explain this method by applying it to calculate the electric fields due to a uniformly charged plane, line, and spherical surface.
American Journal of Physics: Volume 44, Issue 6, Pages 515-518
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General Physics
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Available by subscription
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© 1976 American Journal of Physics
Additional information is available.
DOI:
10.1119/1.10388
Keywords:
College Science, Electricity, Higher Education, Instruction, Magnets, Mathematics, Physics, Science Education, Undergraduate Study
Record Creator:
Metadata instance created July 14, 2005 by Lyle Barbato
Record Updated:
August 29, 2005 by Vince Kuo
Last Update
when Cataloged:
June 1, 1976
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Record Link
AIP Format
F. Reif and J. Larkin, , Am. J. Phys. 44 (6), 515 (1976), WWW Document, (https://doi.org/10.1119/1.10388).
AJP/PRST-PER
F. Reif and J. Larkin, Physically important integrals without calculus, Am. J. Phys. 44 (6), 515 (1976), <https://doi.org/10.1119/1.10388>.
APA Format
Reif, F., & Larkin, J. (1976, June 1). Physically important integrals without calculus. Am. J. Phys., 44(6), 515-518. Retrieved April 26, 2024, from https://doi.org/10.1119/1.10388
Chicago Format
Reif, Frederick, and Jill Larkin. "Physically important integrals without calculus." Am. J. Phys. 44, no. 6, (June 1, 1976): 515-518, https://doi.org/10.1119/1.10388 (accessed 26 April 2024).
MLA Format
Reif, Frederick, and Jill Larkin. "Physically important integrals without calculus." Am. J. Phys. 44.6 (1976): 515-518. 26 Apr. 2024 <https://doi.org/10.1119/1.10388>.
BibTeX Export Format
@article{ Author = "Frederick Reif and Jill Larkin", Title = {Physically important integrals without calculus}, Journal = {Am. J. Phys.}, Volume = {44}, Number = {6}, Pages = {515-518}, Month = {June}, Year = {1976} }
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%A Frederick Reif %A Jill Larkin %T Physically important integrals without calculus %J Am. J. Phys. %V 44 %N 6 %D June 1, 1976 %P 515-518 %U https://doi.org/10.1119/1.10388 %O text/html

EndNote Export Format

%0 Journal Article %A Reif, Frederick %A Larkin, Jill %D June 1, 1976 %T Physically important integrals without calculus %J Am. J. Phys. %V 44 %N 6 %P 515-518 %8 June 1, 1976 %U https://doi.org/10.1119/1.10388


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