What is the magnetic force on the particle

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Homework Help Overview

The problem involves a charged particle moving in a magnetic field, specifically examining the magnetic force acting on the particle given its velocity and the direction of the magnetic field. The subject area pertains to electromagnetism and the application of the Lorentz force law.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the relationship between the magnetic field and the particle's velocity, questioning whether they are parallel or anti-parallel. There is an exploration of the implications of the right-hand rule for determining the direction of the magnetic force.

Discussion Status

The discussion is ongoing, with participants clarifying terminology and exploring the correct interpretation of the directions involved. Some guidance has been offered regarding the application of the right-hand rule and the interpretation of the coordinate system.

Contextual Notes

There is some confusion regarding the terminology used, specifically the distinction between "magnetic field" and "magnetic force." Participants are also interpreting the directions of the velocity and magnetic field in a 3-D coordinate system.

sugz
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Homework Statement


A particle of mass M and charge Q>0 moves in a region of space where the magnetic field has a constant magnitude B and a downward direction. What is the magnetic force on the particle at an instant when it is moving horizontally toward the north with a speed v?

(a) QvB toward the east
(b) zero
(c) QvB toward the west
(d) QvB upward
(e) QvB toward the south

Homework Equations



F= qv x B

The Attempt at a Solution


My understanding of the question is that the magnetic field and the velocity are parallel and in the opposite direction, so shouldn't the magnetic field be zero?
 
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sugz said:
shouldn't the magnetic field be zero?

I think you mean "magnetic force", not "magnetic field" there, correct? (simple typo)

But in this problem the B-field and the velocity v are not parallel or anti-parallel. Which way is B pointing? Which way is qv pointing? Using the right-hand rule, which way is the force pointing? :smile:
 
Isn't the speed in the positive y direction and the magnetic field in the negative y direction?

And I did mean magnetic force, thank you!
 
sugz said:
Isn't the speed in the positive y direction and the magnetic field in the negative y direction?

And I did mean magnetic force, thank you!

Well, it says the B-field is pointing "down", which I would interpret as -z in a 3-D coordinate system. The qv is in the "north" direction, which I would interpret as +y (with +x pointing to the east). What do you get with this interpretation of their 3-D description?
 
Oh okay, that makes sense! I guess it was the wording was what confused me!
 

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