Charged particle and Earth's magnetic field at equator question

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Homework Help Overview

The discussion revolves around the interaction between a charged particle and the Earth's magnetic field at the equator. Participants are exploring how this interaction affects the particle's speed and direction based on the Lorentz Force Law.

Discussion Character

  • Conceptual clarification, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are considering multiple options regarding the effects of the magnetic field on the particle's motion, with some attempting to analyze the implications of the equatorial position. There is discussion about the Lorentz Force Law and its relevance to the problem.

Discussion Status

Several participants have expressed their reasoning and interpretations, with some suggesting that the interaction primarily changes the particle's direction while others question whether speed is also affected. There is a mix of understanding and confusion regarding the implications of the equatorial context.

Contextual Notes

Participants note that the problem may be challenging for the educational level, with some expressing uncertainty about the concepts involved. The discussion includes references to the right-hand rule and the nature of forces acting on the particle.

bmac
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Homework Statement



Stumped on this one.
A charged particle hurles through space creatings its own magnetic field, if it strikes the Earth's equator, the 2 magnetic fields interact and...

a) do not affect the particles direction
b) change the particles speed but not direction
c) change the particles speed and direction
d) change the particles direction
e) bounce it back in the direction it came from.

The Attempt at a Solution



I chose b but this is wrong. so I am thinking it's c...
 
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Thank you for replying I appreciate it.

Ok from your link after reviewing I would say...

d) change the particles direction

but I don't see how this also wouldn't affect speed as well.
 
I'd say that shows some understanding.

Good luck.
 
Yeah I am trying to understand it, a lot of this seems a little advanced for 9th grade science. Definitely not my best class.

I am going with c then, I think the fact that it was the equator confused me a little bit as far as direction goes.
 
bmac said:
I am going with c then, I think the fact that it was the equator confused me a little bit as far as direction goes.

This would be my thinking.

The force of the B field is the vector cross product of the field and the particle's velocity. The idea of it being at the equator is to suggest that the B field is ⊥ to its radial direction from the sun. So with B ⊥ V and hence the F ⊥ V (the vector cross product does that), I would say that the force acts to deflect the particle. Since the Force is ⊥ to the direction of motion it isn't doing any work on the particle and hence its kinetic energy remains the same.
 
Ok since the kinetic energy would be the same then i was right earlier with just the direction only being changed? using the right hand rule
 

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