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This set of research-based student tutorials cover the topics of Coulomb's Law, the superposition principle, and symmetry in electrostatics. The materials are appropriate for a calculus-based introductory physics course.
Tutorial I: Coulomb's Law, Superposition Principle, and Symmetry Tutorial II: Superposition Principle and Symmetry Tutorial III: Distinguishing between the electric field & electric flux Tutorial IV: Exploiting Gauss's Law to Find the Magnitude of the Electric Field Tutorial V: Revisiting the Superposition Principle after Gauss' Law Tutorial VI: Exploring symmetry to calculate the electric field using Gauss's Law* The tutorials may be used as in-class supplements, out-of-class homework, or student self-study tools. The authors recommend the tutorials be given in-class to students working in groups of 2-3. Optional pre- and post-tests are available. Professors may give a pre-test in-class after traditional instruction, a tutorial as homework, and the post-test the following class. The tutorials are based on research into students' common difficulties in learning electrostatics. Some of these findings are available in Student Understanding of Symmetry and Gauss's Law of Electricity, Am. J. Phys. 74 (10), 923-936 (2006). Details of tutorial design and testing are available in J. Li's Ph.D. Dissertation, Improving Students' Understanding of Electricity and Magnetism. * Please note that although a sixth tutorial is available, the research into its effectiveness is currently incomplete.
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![]() <a href="https://www.compadre.org/portal/items/detail.cfm?ID=12620">Singh, Chandralekha, and University of Pittsburgh Physics Education Research Group. University of Pittsburgh E&M Tutorial Series. June 14, 2012.</a>
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![]() C. Singh and University of Pittsburgh Physics Education Research Group, University of Pittsburgh E&M Tutorial Series (2006), <https://www.per-central.org/filingcabinet/share.cfm?FID=33190&code=6B3429446B>.
![]() Singh, C., & University of Pittsburgh Physics Education Research Group. (2012, June 14). University of Pittsburgh E&M Tutorial Series. Retrieved January 23, 2025, from https://www.per-central.org/filingcabinet/share.cfm?FID=33190&code=6B3429446B
![]() Singh, Chandralekha, and University of Pittsburgh Physics Education Research Group. University of Pittsburgh E&M Tutorial Series. June 14, 2012. https://www.per-central.org/filingcabinet/share.cfm?FID=33190&code=6B3429446B (accessed 23 January 2025).
![]() Singh, Chandralekha, and University of Pittsburgh Physics Education Research Group. University of Pittsburgh E&M Tutorial Series. 2006. 14 June 2012. 23 Jan. 2025 <https://www.per-central.org/filingcabinet/share.cfm?FID=33190&code=6B3429446B>.
![]() @misc{
Author = "Chandralekha Singh and University of Pittsburgh Physics Education Research Group",
Title = {University of Pittsburgh E&M Tutorial Series},
Volume = {2025},
Number = {23 January 2025},
Month = {June 14, 2012},
Year = {2006}
}
![]() %A Chandralekha Singh %T University of Pittsburgh E&M Tutorial Series %D June 14, 2012 %U https://www.per-central.org/filingcabinet/share.cfm?FID=33190&code=6B3429446B %O text/html ![]() %0 Electronic Source %A Singh, Chandralekha %A University of Pittsburgh Physics Education Research Group, %D June 14, 2012 %T University of Pittsburgh E&M Tutorial Series %V 2025 %N 23 January 2025 %8 June 14, 2012 %9 text/html %U https://www.per-central.org/filingcabinet/share.cfm?FID=33190&code=6B3429446B Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. University of Pittsburgh E&M Tutorial Series:
References Key Document
E&M Tutorial I: Coulomb’s Law, Superposition Principle, and Symmetry
References Key Document
E&M Tutorial II: Superposition Principle and Symmetry: The case of a continuous charge distribution
References Key Document
E&M Tutorial III: Distinguishing between the electric field & electric flux
References Key Document
E&M Tutorial IV: Exploiting Gauss's Law to Find the Magnitude of the Electric Field
References Key Document
E&M Tutorial V: Revisiting the Superposition Principle after Gauss' Law
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