Right Hand rule to find direction of the force

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SUMMARY

The discussion focuses on applying the right-hand rule to determine the direction of the force on a current-carrying conductor in a magnetic field. When the magnetic field (B) is directed east and the current flows from east to west, there is no resulting force due to the parallel alignment of the current and magnetic field. Conversely, when the magnetic field is directed vertically up, the right-hand rule indicates that the force will be directed either north or south, depending on the orientation of the current. The equation F_B = iL \times B is emphasized for calculating the force on a current-carrying wire.

PREREQUISITES
  • Understanding of the right-hand rule in electromagnetism
  • Familiarity with magnetic fields and current flow
  • Knowledge of the Lorentz force law
  • Basic vector cross product operations
NEXT STEPS
  • Study the Lorentz force law in detail, focusing on F_B = q\vec{v} \times \vec{B}
  • Explore practical applications of the right-hand rule in electromagnetic devices
  • Learn about the implications of current direction on force direction in various magnetic field orientations
  • Investigate the differences between F_B = q\vec{v} \times \vec{B} and F_B = i\vec{L} \times \vec{B} in electromagnetic theory
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone seeking to understand the interactions between electric currents and magnetic fields.

t_n_p
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Homework Statement


http://img71.imageshack.us/img71/8453/untitleddt6.jpg

Imagine that current flow from east to west. what is the direction of the force on the current when the magnetic field B is (i) to the East and (ii) Vertically up?

The Attempt at a Solution


I've done a bit of research mainly from this website http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html but I am still unclear about how to go about the question.

For (i) the magnetic field is to the east, so my fingers are to the right hand side, but my thumb is in the direction of the velocity. Where exactly is the velocity?
 
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i don't know where you got velocity from... (might be something but i can't remember learning anything on it to do with this) and i can't seem to manage to relate the question the the image..

if you hold your palm flat down on a table top and have your thumb at a rightangle with all your fingers (each of your fingers that isn't a thumb, =\ is parallel)
your thumb is in the direction of the current.
your fingers are pointing in the direction of the magnetic field and if there was an arrow shooting out of the palm of your hand, it would be pointing in the direction of the force.

so your question asks (im going to ignore the image because I am not sure what you're asking) the current flow from east to west.

the first one (im not sure if I am right here so someone correct me if I am wrong)
has the current flowing in the same direction as the field applied. so there will be no resulting force

second one, position your hand, in the form i stated above somewhere, so that your fingers (magnetic field) point to the sky and your thumb points to the west. I am geographically impaired so you're going to have to figure out which direction, north or south, that an arrow shooting out of your palm is going to point.

i hope this helps..
 
Is there a reason you have to use \vec{F_B}=q\vec{v}\times\vec{B} rather than \vec{F_B}=i\vec{L}\times\vec{B}?
 

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