Conductor rolling down an inclined plane in a vertical B-field

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SUMMARY

The discussion centers on the dynamics of a conductor rolling down an inclined plane within a vertical magnetic field, specifically addressing the calculation of the angle theta in relation to the angle phi. Participants clarify that theta is indeed 90 degrees, but emphasize that the equation mg sin phi = ILB sin theta is incorrect due to the direction of the magnetic force. The conversation highlights the importance of using free-body diagrams and the right-hand rule to determine the magnetic force's direction and the induced current in the roller, which is influenced by Lenz's law.

PREREQUISITES
  • Understanding of magnetic force and the Lorentz force law
  • Familiarity with Lenz's law and Faraday's law of induction
  • Ability to construct and interpret free-body diagrams
  • Knowledge of vector cross products in physics
NEXT STEPS
  • Study the application of the Lorentz force law in different scenarios
  • Learn how to derive induced current using Lenz's law
  • Practice drawing free-body diagrams for various inclined plane problems
  • Explore the implications of magnetic fields on moving conductors in circuits
USEFUL FOR

Physics students, educators, and anyone interested in electromagnetism and the dynamics of conductors in magnetic fields will benefit from this discussion.

  • #31
berkeman said:
Please learn to post math equations using LaTeX instead of posting images of your work. See the "LaTeX Guide" link below the Edit window. Thank you.
Thank you @berkeman ! Unfornately I have dyslexia and dysgraphia which makes remember arbitrary strings very hard, which means that I'm not very good at coding, but I'll give it a I try.
 
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  • #32
Callumnc1 said:
but I'll give it a I try.
Thanks. :smile:

I found that printing out the first few pages of that tutorial and keeping it next to my computer helps me with using LaTeX. :smile:
 
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  • #33
berkeman said:
I found that printing out the first few pages of that tutorial and keeping it next to my computer helps me with using LaTeX. :smile:
Thank you for your advice @berkeman !
 
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