Positively charged side with induced emf

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SUMMARY

A solid conductor moving at 150 m/s through a uniform magnetic field of 0.045 T experiences induced electromotive force (emf) due to the Lorentz force acting on its electrons. The right-hand rule is essential for determining the direction of the induced charge. As electrons are pushed toward one side of the conductor, that side becomes negatively charged, while the opposite side becomes positively charged. In this scenario, the side where electrons accumulate is negative, and the side lacking electrons is positive.

PREREQUISITES
  • Understanding of the Lorentz force law
  • Familiarity with the right-hand rule for vector cross products
  • Basic knowledge of electromagnetic induction principles
  • Ability to interpret diagrams related to magnetic fields and forces
NEXT STEPS
  • Study the application of the right-hand rule in electromagnetic contexts
  • Explore the principles of electromagnetic induction in detail
  • Learn about the effects of magnetic fields on moving charges
  • Investigate the relationship between velocity, magnetic field strength, and induced emf
USEFUL FOR

Physics students, educators, and anyone interested in understanding electromagnetic induction and the behavior of conductors in magnetic fields.

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Homework Statement


A solid conductor travels at 150 m/s across a uniform .045T magnetic field. Which side is positively charged and what is the emf across this block?


Homework Equations



I actually solved for the emf no problem. I am having difficulty determining which side is positively charged. There is a diagram which accompanies the question. It can be found in this pdf file (first question): http://pittmath.com/Physics12/Ultimate%20Induction%20Review%20Assignment.pdf

if you can't open it, the diagram simply shows a rectangular block with a velocity to the left going through a magnetic field going out of the page. The question asks if the positive side of the rectangle is the top or the bottom.


The Attempt at a Solution



I was told to use the right hand rule, but I'm not clear which one or even what I'm looking for.

If you could help that would be greatly appreciated.
 
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Do you know the Lorentz force law? (force in terms of charge, velocity, and magnetic field) I'd use that to determine the direction of force on the electrons in the metal. Remember that the direction of the cross product of two vectors is given by the right hand rule.
 
I think you lost me a little bit.
I don't understand what makes a side "positive." That's my main problem.
 
Well, think about what happens to the electrons in the metal. They are charged particles, moving through a magnetic field (not parallel to the field), so they will feel a force. That force will tend to push them toward one side of the metal bar. Now, since electrons are negatively charged, the side that the electrons are pushed toward will have more electrons than protons, so it will have a slight excess of negative charge. That's the negative side. The opposite side of the bar will be missing some electrons, so it will have a slight excess of positive charge. That's the positive side.

Does that make sense?
 
thank you that helped a lot.
 

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