The electric field of a uniformly charged cubic shell
Publication
, Journal Article
McCreery, K; Greenside, H
Published in: American Journal of Physics
January 1, 2018
As an integrative and insightful example for undergraduates learning about electrostatics, we discuss how to use symmetry, Coulomb's law, superposition, Gauss's law, and visualization to understand the electric field E(x,y,z) produced by a uniformly charged cubic shell. We first discuss how to deduce qualitatively, using freshman-level physics, the perhaps surprising fact that the interior electric field is nonzero and has a complex structure, pointing inwards from the middle of each face of the shell and pointing outwards towards each edge and corner. We then discuss how to understand the quantitative features of the electric field by plotting an analytical expression for E along symmetry lines and on symmetry surfaces of the shell.
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Published In
American Journal of Physics
DOI
EISSN
1943-2909
ISSN
0002-9505
Publication Date
January 1, 2018
Volume
86
Issue
1
Start / End Page
36 / 44
Related Subject Headings
- General Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
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McCreery, K., & Greenside, H. (2018). The electric field of a uniformly charged cubic shell. American Journal of Physics, 86(1), 36–44. https://doi.org/10.1119/1.5009446
McCreery, K., and H. Greenside. “The electric field of a uniformly charged cubic shell.” American Journal of Physics 86, no. 1 (January 1, 2018): 36–44. https://doi.org/10.1119/1.5009446.
McCreery K, Greenside H. The electric field of a uniformly charged cubic shell. American Journal of Physics. 2018 Jan 1;86(1):36–44.
McCreery, K., and H. Greenside. “The electric field of a uniformly charged cubic shell.” American Journal of Physics, vol. 86, no. 1, Jan. 2018, pp. 36–44. Scopus, doi:10.1119/1.5009446.
McCreery K, Greenside H. The electric field of a uniformly charged cubic shell. American Journal of Physics. 2018 Jan 1;86(1):36–44.
Published In
American Journal of Physics
DOI
EISSN
1943-2909
ISSN
0002-9505
Publication Date
January 1, 2018
Volume
86
Issue
1
Start / End Page
36 / 44
Related Subject Headings
- General Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences