A cathode ray tube creates a stream of electrons you can see. These electrons are deflected in their motion when they travel through a magnetic field. Check it out in the video below!

https://www.youtube.com/watch?v=8eYNMeheuZA

Pre-lecture Study Resources

Watch the pre-lecture videos and read through the OpenStax text before doing the pre-lecture homework or attending class.

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Learning Objectives

Summary

Summary

Atomistic Goals

Students will be able to...

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BoxSand Introduction


Subject  |  Lecture

Key Equations and Infographics

A representation with the words uniform circular motion of a charge in an external magnetic field on the top. There is an equation that shows that the product of the charge and the magnitude of the external magnetic field is equal to the mass of the charge times the speed of the charge divided by the radius. This is also written in words below.

Now, take a look at the pre-lecture reading and videos below.

OpenStax Reading


OpenStax Section 22.4  |  Magnetic Field Strength: Force on a Moving Charge in a Magnetic Field

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OpenStax Section 22.5  |  Force on a Moving Charge in a Magnetic Field: Examples and Applications

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OpenStax Section 22.6  |  The Hall Effect

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OpenStax Section 22.7  |  Magnetic Force on a Current-Carrying Conductor

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OpenStax Section 22.8  |  Torque on a Current Loop: Motors and Meters

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OpenStax Section 22.10  |  Magnetic Force between Two Parallel Conductors

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OpenStax Section 22.11  |  More Applications of Magnetism

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Additional Study Resources

Use the supplemental resources below to support your post-lecture study.

YouTube Videos

PHYSIERGE shows an awesome experiment using an electron gun and two large magnets to show the circular path of a stream of electrons.

Youtube Link

MathPhysicsQuestions has a short lecture on UCM then an example finding the radius and period of motion.

Youtube Link

7activestudio gives a nice leacture on motion in an electric field with good visuals.

Youtube Link

Other Resources

This link will take you to the repository of other content related resources for uniform circular motion in magnetic fields.

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Simulations


 

For additional simulations on this subject, visit the simulations repository.

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Demos


For additional demos involving this subject, visit the demo repository

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History

Physics Fun

 

Other Resources


Resource Repository

Boundless's section is shorter than the Openstax section and uses a cyclotron example after introducing the material. The second section from Boundless shows different examples and applications, continuing with the cyclotron, and including mass spectroscomers and magnetrons.

Primary Text Examples and Applications
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Libretext's section gives an example of how to find the period of the election as well as exploring more difficult concepts such as helical motion.

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Lecture slides used at De Anza College to cover the basics and a few examples.

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Other Resources

This link will take you to the repository of other content related resources for uniform circular motion in magnetic fields.

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Problem Solving Guide

Use the Tips and Tricks below to support your post-lecture study.

Assumptions

 

Checklist

 

Misconceptions & Mistakes

 

Pro Tips

 

Multiple Representations

Multiple Representations is the concept that a physical phenomena can be expressed in different ways.

Physical

Physical Representations describes the physical phenomena of the situation in a visual way.

 

Mathematical

Mathematical Representation uses equation(s) to describe and analyze the situation.

A representation with the words uniform circular motion of a charge in an external magnetic field on the top. There is an equation that shows that the product of the charge and the magnitude of the external magnetic field is equal to the mass of the charge times the speed of the charge divided by the radius. This is also written in words below.

Graphical

Graphical Representation describes the situation through use of plots and graphs.

 

Descriptive

Descriptive Representation describes the physical phenomena with words and annotations.

 

Experimental

Experimental Representation examines a physical phenomena through observations and data measurement.

 

Practice

Use the practice problem sets below to strengthen your knowledge of this topic.

Fundamental examples

 

Short foundation building questions, often used as clicker questions, can be found in the clicker questions repository for this subject.

(1) A proton traveling in the $+\hat{x}$ direction with a speed of $4.3 \cdot 10^{6} \frac{m}{s}$ enters a uniform magnetic field pointing in the $+\hat{z}$ direction with field strength $B = 2 T$. How many revolutions does the proton undergo in 2 seconds? Assume that once the proton enters the magnetic field, it never leaves it.

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Practice Problems

BoxSand practice problems

BoxSand's conceptual problems

 

Recommended example practice problems 

  • Openstax, go to the bottom of the page and work through the conceptual problems and provided practice exercises. Website Link
  • LibreTexts has a large amount of practice and conceptual problems at the bottom of the section. Website Link

For additional practice problems and worked examples, visit the link below. If you've found example problems that you've used please help us out and submit them to the student contributed content section.

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