Lesson 8: Motion of Charged Particles in Magnetic Fields
Overview:
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The Northern Lights are one of nature's most spectacular visual phenomena, and in this time lapse video they provide a breathtaking display of light, shape, and color over the course of a single night in Norway.
In this lesson, you will explore this physical phenomena due to the cosmic rays entering our defence. That is, cosmic rays vs. Earth's magnetic field! |
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Curriculum Expectations:
Overall Expectations:
D1. Analyze the operation of technologies that use gravitational, electric, or magnetic fields, and assess the technologies’ social and environmental impact.
D2. Investigate, in qualitative and quantitative terms, gravitational, electric, and magnetic fields, and solve related problems.
D3. Demonstrate an understanding of the concepts, properties, principles, and laws related to gravitational, electric, and magnetic fields and their interactions with matter.
Specific Expectations:
D1.1 Analyze the operation of a technological system that uses gravitational, electric, or magnetic fields (e.g., a home entertainment system, a computer, magnetic strips on credit cards).
D2.1 Use appropriate terminology related to fields, including, but not limited to: forces, potential energies, potential, and exchange particles.
D2.4 Analyze, and solve problems involving, the force on charges moving in a uniform magnetic field (e.g., the force on a current-carrying conductor or a free electron).
D2.5 Conduct a laboratory inquiry or computer simulation to examine the behaviour of a particle in a field (e.g., test Coulomb’s law; replicate Millikan’s experiment or Rutherford’s scattering experiment; use a bubble or cloud chamber).
D1. Analyze the operation of technologies that use gravitational, electric, or magnetic fields, and assess the technologies’ social and environmental impact.
D2. Investigate, in qualitative and quantitative terms, gravitational, electric, and magnetic fields, and solve related problems.
D3. Demonstrate an understanding of the concepts, properties, principles, and laws related to gravitational, electric, and magnetic fields and their interactions with matter.
Specific Expectations:
D1.1 Analyze the operation of a technological system that uses gravitational, electric, or magnetic fields (e.g., a home entertainment system, a computer, magnetic strips on credit cards).
D2.1 Use appropriate terminology related to fields, including, but not limited to: forces, potential energies, potential, and exchange particles.
D2.4 Analyze, and solve problems involving, the force on charges moving in a uniform magnetic field (e.g., the force on a current-carrying conductor or a free electron).
D2.5 Conduct a laboratory inquiry or computer simulation to examine the behaviour of a particle in a field (e.g., test Coulomb’s law; replicate Millikan’s experiment or Rutherford’s scattering experiment; use a bubble or cloud chamber).
Success Criteria:
- What is the result of a particle experiencing a constant force perpendicular to its velocity? In which plane does the circle lie?
- What is the motion of a particle that moves in a magnetic field such that its motion to the field is: (i) parallel, (ii) perpendicular, and (iii) both.
Time Allocation: 3 hours
Learning Activities:
Read pages 397 - 403 from Nelson 8.4
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Helicoidal motion of a charged particle in a uniform magnetic field.
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In the playlist below, video:
- Will calculate the radius of the motion of a proton in a chamber with a magnetic field.
Task:
Solve questions 3, 4, and 5 from Nelson 8.4 Review on page 404.
Quiz chapter 8 on Moodle.
Optional Extension:
Quiz chapter 8 on Moodle.
Optional Extension:
- Solve questions 6 on page 404.
- Practice question 4 on page 401.
Reflect:
Many students find field theory confusing and unsatisfying, since it implies that there can be something in empty space that has an effect on objects placed there. What do you think about field theory? How have you chosen to think about it?
