A path that curves more sharply (e-)?

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Homework Help Overview

The problem involves two electrons, A and B, being fired into a vertical magnetic field at different speeds. The discussion centers on which electron has a path that curves more sharply, with references to the Lorentz force and the concept of the Larmor radius in circular motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between velocity and curvature of the path in a magnetic field, questioning the implications of differing speeds on the curvature. There are references to external resources for clarification on terms and equations related to the problem.

Discussion Status

Participants are exploring the concepts of force and curvature in magnetic fields, with some providing external references for equations and definitions. There is a recognition of differing interpretations regarding the curvature of the paths of the electrons, but no consensus has been reached.

Contextual Notes

There is mention of specific equations and terms, such as "Lamor Radius" and "Vacc," which are under discussion for their relevance to the problem. Participants are clarifying definitions and seeking to understand the implications of the problem setup.

jayayo
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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 centripetal 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 centripetal 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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