Lesson 2. Lesson 2 - Lines of Force

Gabriella Anton, Connor Bain
Physics
55-90 minutes
High School
v2

Overview

In this lesson, students will continue their investigation of the motion of electrons due to electric forces.They will explore the notion of electric field lines, which are visualizations of electric field. Students should investigate "what do the field lines represent?" They should be introduced to how to generate a continuous field by "spatially arranging" poles. 

Standards

Next Generation Science Standards
  • Physical Science
  • NGSS Practice
    • Using Models
    • Arguing from Evidence
    • Analyzing Data
    • Communicating Information
Computational Thinking in STEM
  • Data Practices
    • Analyzing Data
    • Collecting Data
    • Visualizing Data
  • Modeling and Simulation Practices
    • Using Computational Models to Understand a Concept
  • Computational Problem Solving Practices
    • Computer Programming
  • Systems Thinking Practices
    • Understanding the Relationships within a System

Activities

  • 1. Electric Fields Introduction
  • 2. Electric Force Field Lines
  • 3. Electric Force Field Lines
  • 4. Dipolar Electric Field
  • 5. Dipolar Electric Field

Student Directions and Resources


In this lesson, you will continue your investigation of the motion of electrons due to electric forces. You will explore the notion of electric field lines, which are visualizations of electric field.

1. Electric Fields Introduction


Every charged object emits an electric field that extends outward into the space that surrounds it. We call this charged object the source charge. To explore the source charge's electric force, we can bring a smaller test charge close to it and see how the test charge is effected. 

The Electrostatics Model that you've used doesn't model or show you the electric force field, but instead shows how two charges are effected by each other's electric force fields. For example, in the electrostatics model if you move a positive source charge closer to a positive test-charge, the test-charge will be repelled and move away from the source charge. You can think of the positive source charge as having a force field around it that determines how other charged particles that come close to it will behave. 

Make some guesses now: How can you visually represent the force field around the source charge in the Electrostatics Model? Run the model again and observe how the particles move in order to come up with one or more possible ways to visually represent the force field.

 


Question 1.1

How can you visually represent the electric force field lines around the blue, positive source charge in the electrostatics model? Provide at least two different ideas.



Question 1.2

Based on your idea above, sketch an electric force field around the positive source charge below. Be careful with the eraser as it will erase all components of your drawing. 

Note: Draw your sketch in the sketchpad below


Question 1.3

Please wait for teacher instruction before moving on

Note: Draw your sketch in the sketchpad below


2. Electric Force Field Lines


The model below shows one possible representation of electric lines of force. Electric fields are typically represented as lines that point in the direction that a positive test charge would accelerate if placed upon the line. 

So, if you use test-protons (that have a positive charge) the lines are directed away from positively charged source charges and toward negatively charged source charges, and if you use test-electrons (that have a negative charge) the lines are directed toward positively charged source charges and away from negatively charged source charges. 

To create electric field lines and use the model:

1) Click SETUP then GO

2) Click ADD POSITIVE + SOURCE CHARGE. Drag the positive source charge anywhere in the black box. 

3) In the CREATE drop-down menu choose test-protons.

4) Click anywhere in the black box to test protons in the space you've created. Make sure to test many protons. Observe how the test proton charges behave in the space and how the electric field lines are drawn. 

5) Repeat with different numbers and positions of positive and negative source charges. You can do this by hitting the ADD POSITIVE + SOURCE CHARGE button and the ADD NEGATIVE - SOURCE CHARGE multiple times. Also, be sure to also test your space with test electrons, by selecting test-electrons in the CREATE drop-down menu.


Question 2.1

Describe the trajectories of the test protons when there is one positive source charge in the space. Make sure to test protons around the entirety of the the source charge.



Question 2.2

Now, describe the trajectories of the test electrons when there is one positive source charge. Make sure to test electrons around the entirety of the the source charge.



Question 2.3

What are some differences and similarities between the trajectories of the test electrons and test protons? Explain WHY you think these differences and similarities exist.  



Question 2.4

What information does this electric field model provide that the previous electrostatics model did not provide? What information is each model providing and how is this information related?



Question 2.5

How does this representation of an electric field compare to your hypothesized representation that you sketched previously?



3. Electric Force Field Lines



Question 3.1

Now, create your own space with at least two source charges (either positive or negative) and experiment with the space using test protons. Sketch your space below and label all the positive or negative source charges, the test protons, and the electric force field lines.

Note: Draw your sketch in the sketchpad below


Question 3.2

Describe the electric force field in your space and why you think the particles behave the way they do. 



Question 3.3

What happens to the speed of the test-charges when you adjust the strength of the source charges? Why do you think this happens? 



4. Dipolar Electric Field


The image below shows an electric field with an orange negative source charge on the left and a blue positive source charge on the right, the two source charges are equal in magnitude. This is called a dipolar electric field. Now imagine that you are placing test-protons at positions along the three lines shown in the image: A (left), B (middle) & C (right).


Question 4.1

Do you think that the test-protons along A, B and C will all follow the same path? Or, do you think that the trajectories of charges starting at A, B & C will be different? Explain your reasoning.



Question 4.2

Below, sketch the paths you think charges placed on these lines would follow. 

Note: Draw your sketch in the sketchpad below


5. Dipolar Electric Field


Now create a scenario like the one shown in the image below, using the Electric Field model. First, create a dipolar field with a positive source charge and a negative source charge, and then run your model by placing test-protons along the three lines shown in the image: A (left), B (middle) & C (right). Place test-charges at various positions along the three lines. 

To create a dipolar field by using the model:

1) Click SETUP then GO

2) Click ADD POSITIVE + SOURCE CHARGE. Drag the positive source to the right side of the black box, as it is in the picture. 

2) Click ADD NEGATIVE - SOURCE CHARGE. Drag the negative source to the left side of the black box, as it is in the picture. 

3) In the CREATE drop-down menu choose test-protons.

4) Click in the black box on numerous positions along the three lines shown in the picture to test protons in the space you've created. Make sure to test many protons along these lines. Observe how the test proton charges behave in the space (based on where they started) and how the electric field lines are drawn. 


Question 5.1

What do you observe about the trajectories of the test charges?



Question 5.2

Do the test charges starting from A, B, and C follow the same paths? Why or why not?



Question 5.3

How does this representation of a dipolar field compare to your hypothesized representation that you sketched previously?



Question 5.4

Using the information provided from the model, sketch the electric fields. Make sure to label the source charges and indicate which direction the test charges are moving by using arrows.

Note: Draw your sketch in the sketchpad below


Question 5.5

Please wait for teacher instruction before moving on 

Note: Draw your sketch in the sketchpad below