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written by Corinne A. Manogue
published by the Paradigms in Physics Program
This small group activity is designed to help upper-division undergraduate students practice using the symmetry arguments necessary for Ampere's Law. Students are asked to find the magnetic field using Ampere's Law for radially-varying steady current distributions inside a cylindrical shell and to make explicit symmetry arguments using Proof by Contradiction as part of their solution. The compare and contrast wrap-up discussion focuses on the fact that all examples have zero field inside the shell; smooth and continuous, but different answers within the shell; and look like an infinitesimally thin wire outside the shell.
Subjects Levels Resource Types
Electricity & Magnetism
- Electric Fields and Potential
= Gauss' Law
- Magnetic Fields and Forces
= Ampere's Law
Mathematical Tools
- Vector Calculus
= Vector Field
- Upper Undergraduate
- Instructional Material
= Activity
= Instructor Guide/Manual
Intended Users Formats Ratings
- Educators
- text/html
- application/pdf
- application/tex
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Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution-Noncommercial-Share Alike 3.0 license.
Rights Holder:
Paradigms in Physics Team
NSF Numbers:
0618877
0231194
9653250
1023120
0088901
0231032
Paradigm ID:
vfampere
Keywords:
Compare & Contrast, Proof by Contradiction, Small Group Activity, Vector Fields, vfampereguide.pdf, vfampereguide.pdf, vfampereguide.pdf, vfampereguide.pdf, vfampereguide.pdf, vfampereguide.pdf, vfamperehand.pdf, vfamperehand.pdf
Record Creator:
Metadata instance created June 23, 2014 by Lyle Barbato
Record Updated:
June 26, 2014 by Bruce Mason
Last Update
when Cataloged:
August 7, 2014
Other Collections:

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Record Link
AIP Format
C. Manogue, (Paradigms in Physics Program, Corvallis, 2008), WWW Document, (http://www.physics.oregonstate.edu/portfolioswiki/acts:vfampere).
AJP/PRST-PER
C. Manogue, Paradigms in Physics: Ampere's Law, (Paradigms in Physics Program, Corvallis, 2008), <http://www.physics.oregonstate.edu/portfolioswiki/acts:vfampere>.
APA Format
Manogue, C. (2014, August 7). Paradigms in Physics: Ampere's Law. Retrieved December 11, 2017, from Paradigms in Physics Program: http://www.physics.oregonstate.edu/portfolioswiki/acts:vfampere
Chicago Format
Manogue, Corinne. Paradigms in Physics: Ampere's Law. Corvallis: Paradigms in Physics Program, August 7, 2014. http://www.physics.oregonstate.edu/portfolioswiki/acts:vfampere (accessed 11 December 2017).
MLA Format
Manogue, Corinne. Paradigms in Physics: Ampere's Law. Corvallis: Paradigms in Physics Program, 2008. 7 Aug. 2014. 11 Dec. 2017 <http://www.physics.oregonstate.edu/portfolioswiki/acts:vfampere>.
BibTeX Export Format
@misc{ Author = "Corinne Manogue", Title = {Paradigms in Physics: Ampere's Law}, Publisher = {Paradigms in Physics Program}, Volume = {2017}, Number = {11 December 2017}, Month = {August 7, 2014}, Year = {2008} }
Refer Export Format

%A Corinne Manogue
%T Paradigms in Physics: Ampere's Law
%D August 7, 2014
%I Paradigms in Physics Program
%C Corvallis
%U http://www.physics.oregonstate.edu/portfolioswiki/acts:vfampere
%O text/html

EndNote Export Format

%0 Electronic Source
%A Manogue, Corinne
%D August 7, 2014
%T Paradigms in Physics: Ampere's Law
%I Paradigms in Physics Program
%V 2017
%N 11 December 2017
%8 August 7, 2014
%9 text/html
%U http://www.physics.oregonstate.edu/portfolioswiki/acts:vfampere


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Paradigms in Physics: Ampere's Law:

Is Part Of Paradigms in Physics

Ampere's Law is a Paradigms in Physics student activity for E&M

relation by Bruce Mason

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