Magnetic force direction on a positive and negative charges

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SUMMARY

The discussion centers on the application of the Lorentz Force in determining the magnetic force direction on charged particles, specifically electrons and protons. The correct answer for the path of an electron is identified as choice C, utilizing the Left Hand Rule for negative charges. Participants confirm that for protons, the Right Hand Rule applies, with the thumb indicating the direction of motion and the fingers showing the force direction. The importance of considering the charge sign when applying these rules is emphasized, ensuring accurate vector direction for both positive and negative charges.

PREREQUISITES
  • Understanding of the Lorentz Force equation: F=QV⊥Bsinθ
  • Familiarity with the Right Hand Rule for positive charges
  • Knowledge of the Left Hand Rule for negative charges
  • Basic concepts of vector direction in physics
NEXT STEPS
  • Study the vector version of the Lorentz Force in detail
  • Practice problems using the Right Hand Rule and Left Hand Rule
  • Explore the implications of charge sign on force direction
  • Review additional resources on magnetic fields and charged particle motion
USEFUL FOR

Physics students, educators, and anyone interested in understanding the behavior of charged particles in magnetic fields.

YMMMA
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Homework Statement


The question askes about the path of the electron. I need to know if I am doing it correctly whether it was asked for a proton or an electron.

Homework Equations


F=QV⊥Bsinθ

The Attempt at a Solution



I answered it C. Because it is an electron, I used my left hand. My thumb points to the right and my other fingers pointing into the page, so the force points to the bottom of the page. Thus, the electron’s will be as illustrated in choice C. If that was a proton, it will be the other way around, like in B. Am I right?
 

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The answer C is correct, but I always use the "Right Hand Rule" and am careful about the sign of the charge. If it is negative, then the Qv vector term points in the opposite direction from the velocity vector. Does that make sense? Are you familiar with the vector version of the Lorentz Force?

https://en.wikipedia.org/wiki/Lorentz_force

upload_2018-10-16_7-19-33.png
 

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berkeman said:
The answer C is correct, but I always use the "Right Hand Rule" and am careful about the sign of the charge. If it is negative, then the Qv vector term points in the opposite direction from the velocity vector. Does that make sense? Are you familiar with the vector version of the Lorentz Force?

https://en.wikipedia.org/wiki/Lorentz_force

View attachment 232262
I am, yes. But does that means reversing the direction of Qv vector is the same if I used my left hand.
I take it as a rule: left hand if it’s an electron, right hand if it’s a proton.
 
that seems to be correct, yes. you can still use your right hand, though, just point the thumb in the opposite direction of the motion of the negative charge and the middle finger will show the direction of the force. but when you are confronted with a drawing requiring you to twist your hand in an "impossible" way it is easier to rather turn the drawing to make life easier :smile:
 
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YMMMA said:
I am, yes. But does that means reversing the direction of Qv vector is the same if I used my left hand.
I take it as a rule: left hand if it’s an electron, right hand if it’s a proton.
I guess you can do that, but it's easier for me to just always use my right hand and be careful about the sign of the charge. Whichever works for you I guess.
 
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Got it. Thank you all.
 
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