B Why is the force pushing electrons downwards in this scenario?

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The discussion revolves around the confusion regarding the direction of the force acting on electrons in a magnetic field. The right-hand rule suggests that positive charges moving left in a magnetic field directed into the page should experience an upward force. However, since electrons are negatively charged, the force acting on them is actually downward. Clarification is provided that the right-hand rule indicates the direction of the vector resulting from the cross product of velocity and magnetic field, not the force direction itself. Understanding this distinction resolves the initial confusion about the force's direction on electrons.
Saracen Rue
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Hello Physics Forums users,

Thank you for taking the time to read my thread. I has just reading through this following article: http://www.sciencehq.com/physics/electromagnetic-induction.html when I came across this:
upload_2017-3-16_11-6-54.png

And became rather confused. The right hand rule dictates that in this scenario; positive particles moving towards the left through a magnetic field into the page should result in a force that acts upwards. Due to the fact that electrons are the only free-moving component inside a metallic lattice, they should be forced upwards. However, this article states that the force pushes them downwards. Any help with understanding what's happening here is much appreciated.

Again, thank you for your time :)
 
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Remember that ##\mathbf{F} = q \mathbf{v} \times \mathbf{B}##. By the right-hand rule, ##\mathbf{v} \times \mathbf{B}## is a vector that points up in this scenario, and since ##q## is negative (it is the charge of the electron), you know the rest.
 
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Ah thank you very much, that makes a lot more sense now. The right hand rule isn't indicating the direction of the force but rather the direction of vector ##v*B##.

Again, thank you for your help! :)
 
Saracen Rue said:
Ah thank you very much, that makes a lot more sense now. The right hand rule isn't indicating the direction of the force but rather the direction of vector ##v*B##.

Again, thank you for your help! :)
You're welcome!

Just a clarification, the vector we're looking at is ##\mathbf{v} \times \mathbf{B}##. What you wrote, ##v*B##, seems like the product of their lengths.
 
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