Investigating and Improving Student Understanding of Conductors and Insulators
Abstract
:1. Introduction and Framework
2. Goal of the Current Study
3. Methodology
4. Results Related to Student Performance on Pre- and Post-Tests
5. Discussion of Common Student Difficulties
- There is no charge separation in insulators via induction since charges are fixed in place, so insulators do not feel a force when a charged object is brought close by.
- 2.
- There is no difference between conductors and insulators in whether both can develop a net charge by electrical induction and grounding, i.e., both conductors and insulators can be charged by these processes.
- 3.
- Incorrect drawings of charge separation with electrical induction and grounding, depicting vertical or other types of charge configurations.
- 4.
- Induction and grounding will always lead to a net positive charge on an object.
- 5.
- When a grounding wire is used with a conductor, electrons will always go from the metal to the earth.
- 6.
- The order in which the grounding wire and charged object causing electrical induction in a conductor are removed would not matter for the conductor developing a net charge.
- 7.
- Touching two neutral metal objects can make them charged.
- 8.
- Rubbing two different neutral insulating objects cannot make them charged.
- 9.
- Incorrect drawing of charge distribution on spherical conducting or insulating object with concentric cavity with a charged object nearby and not realizing there will be an attractive force between them.
6. Discussion of How the Tutorial Addresses Student Difficulties
- Section I: Basics.
- Section II: Induced charges.
- Section III: Creating a net charge on a conductor.
- Section IV: Order of removing items.
- Section V: Charging conductors by induction.
- Section VI: Charging a metal ball through induction with a negatively charged insulator.
- Section VII: Polarization in an insulator.
- Section VIII: Induction always causes attraction.
- Section IX: Polarization in insulators with negatively charged objects.
- Section X: Grounding insulators.
- Section XI: Producing a net charge on an insulator.
- Section XII: Charging a conductor through contact.
- Section XIII: Conductors and point charges.
- Section XIV: Insulators and point charges.
6.1. Addressing Student Difficulty 1 Regarding Charge Separation in Insulators
6.2. Addressing Student Difficulty 2 Regarding Differences in Charging Conductors and Insulators
Jim: I think that the metal ball will have an overall negative charge because electrons will come up from the ground and neutralize the excess positive charge on the “left” surface of the metal ball.
Mary: Electrons will not come up from the Earth to neutralize the ions because then there won’t be a net attraction between the metal ball and the comb. I think that the metal ball will have an overall positive charge because the electrons on the “right” surface of the metal ball will escape through the copper wire into the ground.
Who is correct? Jim or Mary? Justify your response.
6.3. Addressing Student Difficulty 3 Regarding Features of Charge Separation
- In the situation described earlier, the comb is being held close to the metal ball. Based on this, will the free electrons in the ball feel an attractive or repulsive force to the comb? Will the positive ions on the ball feel an attractive or repulsive force to the comb? Remember that the comb has a positive charge.
- Since only the electrons are free to move in a metal, draw the equilibrium charge distribution on the surface of the metal ball as a result of the charge comb being held close to the ball. (Hint: For a conductor, in equilibrium, induced charges only reside on the surface of the conductor such that there is no net force on the free electrons.)
6.4. Addressing Student Difficulty 4 Regarding Induction and Grounding Always Leading to Positive Net Charges on the Object
6.5. Addressing Student Difficulty 5 Regarding Electrons Always Flowing from the Metal Ball to the Ground While Connected to a Grounding Wire
6.6. Addressing Student Difficulty 6 Regarding a Conductor Developing a Net Charge by Electrical Induction without Grounding Wires or Only with a Grounding Wire without Induction
- Without the grounding wire, the positive charges are stuck on the farther (right) surface. This occurs because some free electrons moved closer to the comb to take advantage of their attraction before equilibrium was established. Now, if you connect the ball to a grounding wire, can you predict a process via which the positive charges on the metal ball can neutralize? (Hint: Electrons are free to move from the Earth through the conducting wire.)
- As a result of the movement of electrons from Earth, what will happen to the positive charges on the “right” surface of the metal ball?
- The negative charges induced on the “left” surface of the metal ball feel an attractive force due to the comb and a repulsive force from each other (in addition to confining forces). Considering that the electrons do not leave the metal ball surface even when the grounding wire is connected and continue to take advantage of the attraction due to the comb, what can you conclude about these forces?
6.7. Addressing Student Difficulty 7 Regarding Importance of the Order in Which Grounding Wire and Charged Object Causing Induction in a Conductor Are Removed for Conductor Becoming Charged
If the neutral metal ball was only grounded and not exposed to the charged comb, would the metal ball acquire an excess charge as a result of being grounded? (Hint: If the metal ball is neutral, are there any unbalanced forces pulling or pushing the free electrons in the ground or the metal ball?)
6.8. Addressing Student Difficulty 8 with Charge Transfer When Touching Two Neutral Conductors
- Hermione: I suspect that the two identical neutral metal balls will not charge each other.
6.9. Addressing Student Difficulty 9 with Charge Transfer When Rubbing Two Different Insulators
6.10. Addressing Student Difficulty 10 Pertaining to Induced Charge Distributions on Cavities
7. Reflection, Implications, and Conclusions
Supplementary Materials
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
- Like charges exert repulsive forces on each other. Charges with opposite signs exert attractive forces on each other.
- Forces between two charges depend on the distance between the charges. For example, if the distance between two point charges increases, the force between them decreases.
- If the positive (+) and negative (−) charges cancel each other out locally in a material, there is no need to show those charges in a drawing. For example, a neutral sphere with no charges nearby can be shown in Figure A1, as the follows:
- Conductors (e.g., metals) are materials that have some electrons that are free to move throughout the material. Therefore, any “excess” charge you put on a conductor can rearrange itself. Core electrons in conductors do not move.
- For a conductor, excess charges only reside on its outer surface in equilibrium. Electrostatic equilibrium is established when there is no net force (including all forces) on the free electrons (conduction electrons). For example, excess positive or negative charge on an isolated metal sphere will distribute uniformly on the outer surface in equilibrium (Figure A2):
- Insulators (e.g., wood, wool, plastic, glass) are materials in which there are no conduction electrons and electrons can only move locally within the atoms or molecules when they feel a force, e.g., due to the presence of external charges.
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Sample Size, N | Group Type | Test Type |
---|---|---|
121 | Nontutorial | Pretest |
68 | Tutorial | Pretest |
86 | Nontutorial | Paost-test |
62 | Tutorial | Post-test |
Average Score (%) | Group Type | High School Physics Instruction |
---|---|---|
23 | Nontutorial | No |
24 | Nontutorial | Yes |
23 | Tutorial | No |
22 | Tutorial | Yes |
Common Student Difficulties | Pre-/Post-Test Question #’s |
---|---|
| 1a–c |
| 1a–c, 2a–c |
| 1a–c, 2a–c |
| 2a–c |
| 2b, 2c |
| 2a–c |
| 2c |
| 3 |
| 4 |
| 5a, 5b |
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Santana, L.M.; Hickman, C.; Bilak, J.; Singh, C. Investigating and Improving Student Understanding of Conductors and Insulators. Educ. Sci. 2023, 13, 242. https://doi.org/10.3390/educsci13030242
Santana LM, Hickman C, Bilak J, Singh C. Investigating and Improving Student Understanding of Conductors and Insulators. Education Sciences. 2023; 13(3):242. https://doi.org/10.3390/educsci13030242
Chicago/Turabian StyleSantana, Lisabeth Marie, Caitlin Hickman, Joshua Bilak, and Chandralekha Singh. 2023. "Investigating and Improving Student Understanding of Conductors and Insulators" Education Sciences 13, no. 3: 242. https://doi.org/10.3390/educsci13030242