Determining the direction of magnetic force

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SUMMARY

The direction of the magnetic force on an electron can be determined using the right-hand rule, which requires the index finger to point in the direction of the magnetic field and the thumb in the direction of the current. A common misconception is to align the thumb with the velocity of the electron instead of the current. In scenarios where the magnetic field and velocity are orthogonal, proper application of the right-hand rule will yield the correct direction of the magnetic force.

PREREQUISITES
  • Understanding of the right-hand rule for magnetic forces
  • Knowledge of magnetic fields and their properties
  • Familiarity with the concepts of current and electron velocity
  • Basic principles of electromagnetism
NEXT STEPS
  • Study the right-hand rule in detail, focusing on its application in various scenarios
  • Explore the relationship between current and electron velocity in conductive materials
  • Investigate the effects of magnetic fields on charged particles
  • Learn about Lorentz force and its implications in electromagnetism
USEFUL FOR

Students studying physics, particularly those focusing on electromagnetism, educators teaching magnetic force concepts, and anyone interested in the behavior of charged particles in magnetic fields.

miyayeah
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Homework Statement


upload_2018-4-14_0-31-22.png


Referring to (b) in the picture above: What is the direction of the magnetic force on the electron?

Homework Equations


I use the right-hand rule where by putting your index finger in the direction of the magnetic field and thumb in the direction of the velocity, the middle finger points in the direction of the magnetic force.

The Attempt at a Solution


I tried the right-hand rule as I explained, but as soon as I put my thumb in the direction of velocity my fingers are restricted and my index finger cannot align with the magnetic field. How should I solve this problem? Any help would be appreciated.
 

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First of all, only the component of the magnetic field that is orthogonal to the velocity matters, but in this case they are orthogonal, so you should not have a problem in aligning the directions.

Second:
miyayeah said:
I use the right-hand rule where by putting your index finger in the direction of the magnetic field and thumb in the direction of the velocity, the middle finger points in the direction of the magnetic force.
This is not correct. Your thumb should be pointed in the direction of the current, not the direction of the velocity. I will let you think a bit about in what cases those are the same and in what cases they are not.
 

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