Point Charge Electric Field in 1D Model

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written by Andrew Duffy

The Point Charge Electric Field in 1D model investigates the electric field at various positions along a line, when there are either one or two charged particles on that line. The electric field is represented in two ways. First, there is a movable positive test charge that you can move along the line to sample the field at various locations - the direction of the force on that test charge is the same as the direction of the electric force on the test charge.

The second way to represent the electric field is to plot a graph of the electric field as a function of position. For the graph, we define positive field as a field pointing to the right, and negative field as a field pointing to the left.

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Last Modified: June 13, 2014
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Subjects	Levels	Resource Types
Electricity & Magnetism - Electric Fields and Potential = Electric Field - Electrostatics = Coulomb's Law	- Lower Undergraduate - High School - Middle School - Upper Undergraduate	- Instructional Material = Interactive Simulation - Audio/Visual = Movie/Animation

Intended Users	Formats	Ratings
- Learners - Educators	- application/java	Currently 5.0/5 Rated 5.0 stars by 1 person Want to rate this material? Login here!

Mirror:: http://physics.bu.edu/~duffy/Ejs/…
Access Rights:: Free access
License:: This material is released under a GNU General Public License Version 3 license.
Rights Holder:: Andrew Duffy, Boston University
Keywords:: EJS, Easy Java Simulation, charge, charge particles, coulomb's law, electric, electric field, electric field simulation, field
Record Cloner:: Metadata instance created September 2, 2009 by Elijah Lee
Record Updated:: May 14, 2018 by Caroline Hall
Last Update when Cataloged:: August 27, 2009
Other Collections:: The Physics Front

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Next Generation Science Standards

Motion and Stability: Forces and Interactions (HS-PS2)

Students who demonstrate understanding can: (9-12)

Use mathematical representations of Newton's Law of Gravitation and Coulomb's Law to describe and predict the gravitational and electrostatic forces between objects. (HS-PS2-4)

Disciplinary Core Ideas (K-12)

Types of Interactions (PS2.B)

Newton's law of universal gravitation and Coulomb's law provide the mathematical models to describe and predict the effects of gravitational and electrostatic forces between distant objects. (9-12)
Attraction and repulsion between electric charges at the atomic scale explain the structure, properties, and transformations of matter, as well as the contact forces between material objects. (9-12)

Crosscutting Concepts (K-12)

Patterns (K-12)

Different patterns may be observed at each of the scales at which a system is studied and can provide evidence for causality in explanations of phenomena. (9-12)

Cause and Effect (K-12)

Cause and effect relationships can be suggested and predicted for complex natural and human designed systems by examining what is known about smaller scale mechanisms within the system. (9-12)

Scientific Knowledge Assumes an Order and Consistency in Natural Systems (1-12)

Science assumes the universe is a vast single system in which basic laws are consistent. (9-12)

NGSS Science and Engineering Practices (K-12)

Analyzing and Interpreting Data (K-12)

Analyzing data in 9–12 builds on K–8 and progresses to introducing more detailed statistical analysis, the comparison of data sets for consistency, and the use of models to generate and analyze data. (9-12)
- Analyze data using computational models in order to make valid and reliable scientific claims. (9-12)

Developing and Using Models (K-12)

Modeling in 9–12 builds on K–8 and progresses to using, synthesizing, and developing models to predict and show relationships among variables between systems and their components in the natural and designed worlds. (9-12)
- Use a model to predict the relationships between systems or between components of a system. (9-12)

Using Mathematics and Computational Thinking (5-12)

Mathematical and computational thinking at the 9–12 level builds on K–8 and progresses to using algebraic thinking and analysis, a range of linear and nonlinear functions including trigonometric functions, exponentials and logarithms, and computational tools for statistical analysis to analyze, represent, and model data. Simple computational simulations are created and used based on mathematical models of basic assumptions. (9-12)
- Use mathematical or computational representations of phenomena to describe explanations. (9-12)

NGSS Nature of Science Standards (K-12)

Analyzing and Interpreting Data (K-12)

Analyzing data in 9–12 builds on K–8 and progresses to introducing more detailed statistical analysis, the comparison of data sets for consistency, and the use of models to generate and analyze data. (9-12)

Developing and Using Models (K-12)

Modeling in 9–12 builds on K–8 and progresses to using, synthesizing, and developing models to predict and show relationships among variables between systems and their components in the natural and designed worlds. (9-12)

Using Mathematics and Computational Thinking (5-12)

Mathematical and computational thinking at the 9–12 level builds on K–8 and progresses to using algebraic thinking and analysis, a range of linear and nonlinear functions including trigonometric functions, exponentials and logarithms, and computational tools for statistical analysis to analyze, represent, and model data. Simple computational simulations are created and used based on mathematical models of basic assumptions. (9-12)

AAAS Benchmark Alignments (2008 Version)

11. Common Themes

11B. Models

6-8: 11B/M1. Models are often used to think about processes that happen too slowly, too quickly, or on too small a scale to observe directly. They are also used for processes that are too vast, too complex, or too dangerous to study.

AAAS Benchmark Alignments (1993 Version)

4. THE PHYSICAL SETTING

G. Forces of Nature

4G (9-12) #3. There are two kinds of charges?positive and negative. Like charges repel one another, opposite charges attract. In materials, there are almost exactly equal proportions of positive and negative charges, making the materials as a whole electrically neutral. Negative charges, being associated with electrons, are far more mobile in materials than positive charges are. A very small excess or deficit of negative charges in a material produces noticeable electric forces.
4G (9-12) #4. Different kinds of materials respond differently to electric forces. In conducting materials such as metals, electric charges flow easily, whereas in insulating materials such as glass, they can move hardly at all. At very low temperatures, some materials become superconductors and offer no resistance to the flow of current. In between these extremes, semiconducting materials differ greatly in how well they conduct, depending on their exact composition.

11. COMMON THEMES

B. Models

11B (9-12) #1. The basic idea of mathematical modeling is to find a mathematical relationship that behaves in the same ways as the objects or processes under investigation. A mathematical model may give insight about how something really works or may fit observations very well without any intuitive meaning.

NSES Content Standards

Con.B: Physical Science

9-12: Motions & Forces

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<a href="https://www.compadre.org/portal/items/detail.cfm?ID=9411">Duffy, Andrew. "Point Charge Electric Field in 1D Model."</a>

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A. Duffy, Computer Program POINT CHARGE ELECTRIC FIELD IN 1D MODEL (2008), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9411&DocID=1574).

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A. Duffy, Computer Program POINT CHARGE ELECTRIC FIELD IN 1D MODEL (2008), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9411&DocID=1574>.

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Duffy, A. (2008). Point Charge Electric Field in 1D Model [Computer software]. Retrieved April 27, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9411&DocID=1574

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Duffy, Andrew. Point Charge Electric Field in 1D Model. Computer software. 2008. 27 Apr. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9411&DocID=1574>.

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@misc{ Author = "Andrew Duffy", Title = {Point Charge Electric Field in 1D Model}, Month = {August}, Year = {2009} }

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%0 Computer Program %A Duffy, Andrew %D August 27, 2009 %T Point Charge Electric Field in 1D Model %8 August 27, 2009 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=9411&DocID=1574

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Point Charge Electric Field in 1D Model:

Is Based On Easy Java Simulations Modeling and Authoring Tool

The Easy Java Simulations Modeling and Authoring Tool is needed to explore the computational model used in the Boston University Physics Easy Java Simulation: Electric Field in 1D.

relation by Wolfgang Christian

Is Supplemented By http://www.physicsclassroom.com/Class/estatics/u8l4a.cfm

An interactive tutorial on electric field, developed for high school physics by The Physics Classroom.

relation by Caroline Hall

Is the Basis For http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=1918.0

1st remix made
Ejs Open Source Electric Field & Potential of 2 Charged Particles Java Applet by lookang.
a remix of this original model by Professor Andrew Duffy.
customized it for sg syllabus

relation by wee lookang

Is the Basis For http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=1921.0

2nd new remix is born! Re-purposed into Ejs Open Source Gravitational Field & Potential of 2 Mass Java Applet by lookang.
Many thanks to Professor Andrew Duffy for his original codes, to Professor Fu-Kwun Hwang for his forum and community of learners & to Professor Paco for creating Ejs toolkit and Professor Wolfgang for OSP codes.

relation by wee lookang

Is the Basis For http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=1924.0

3rd remix probably final one, authentic case study of a exam question scenario Ejs Open Source Gravitational Field & Potential of Earth and Moon Java Applet by lookang.
based on Real Data!
customized by lookang based on an applet by Professor Andrew Duffy.
many thanks for allowing people to learn from your codes.
OSP guys and gals are heroes in physics education :)

This applet even has activities / exercises to promote student to notice, think about the physics examined illustrated :)

relation by wee lookang

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