A path that curves more sharply (e-)?

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In the discussion about the paths of two electrons in a magnetic field, Electron A, moving at 1.00 Mm/s, is initially thought to curve more sharply than Electron B, which moves at 2.00 Mm/s. The confusion arises from the relationship between velocity, force, and the curvature of their paths. The correct approach involves calculating the "Lamor Radius," which relates to the circular motion of charged particles in a magnetic field. The participants clarify that the term "Vacc" refers to the accelerating voltage applied to the electrons, not velocity. Ultimately, understanding the dynamics of circular motion is key to resolving the question of curvature.
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Homework Statement


Electron A is fired horizontally with speed 1.00 Mm/s into a region where a vertical magnetic field exists. Electron B is fired along the same path with speed 2.00 Mm/s. Which electron has a path that curves more sharply?
A does.
B does.
The particles follow the same curved path.
The particles continue to go straight.

Homework Equations


F=qv x B

The Attempt at a Solution


q and B for both are the same. The only difference is force and velocity. Because A has a smaller velocity, the force will be smaller; thus, the curve will be less sharp.

However, this site says A curves more sharply. Site:
http://physcourses.lums.edu.pk/wp-content/uploads/2014/01/Final-Exam.pdf

I'm not understanding why...

Thank you!
 
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jayayo said:
I got from here (page 4 bottom), an equation for x (the distance reflected from its original path)
http://sun.iwu.edu/~gspaldin/B_deflection_Lab.pdf

Is this why? Does Vacc mean velocity??

Thanks anyone for any clarification..!

No, see the bottom of page 37 of the PDF. Vacc is the accelerating voltage applied to the electrons.

To solve this problem, work out the "Lamor Radius" of the circular motion of the electrons around the magnetic field lines. What are the equations of uniform circular motion in terms of velocity and centripital force?

If you have trouble working it out, look up "Gyroradius" at wikipedia... :smile:
 
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berkeman said:
No, see the bottom of page 37 of the PDF. Vacc is the accelerating voltage applied to the electrons.

To solve this problem, work out the "Lamor Radius" of the circular motion of the electrons around the magnetic field lines. What are the equations of uniform circular motion in terms of velocity and centripital force?

If you have trouble working it out, look up "Gyroradius" at wikipedia... :smile:

wow stupid oversight on my part. Thanks so much!
 
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