Two rails and a rod (magnetic field)

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SUMMARY

The discussion focuses on a physics problem involving two parallel wires acting as rails for a metal rod in a magnetic field. When a constant current I flows through the system, the force on the rod is determined by the equation F = ILB, where L is the distance between the wires and B is the magnetic field strength. The speed of the rod as a function of time is derived under two conditions: with and without friction. The rod moves west when the current through it is directed north.

PREREQUISITES
  • Understanding of magnetic forces on current-carrying conductors
  • Familiarity with Newton's second law (F = ma)
  • Knowledge of friction coefficients and their application in mechanics
  • Basic concepts of electric current and magnetic fields
NEXT STEPS
  • Study the derivation of the Lorentz force law in electromagnetism
  • Learn about the effects of friction on motion in physics
  • Explore the relationship between current, magnetic fields, and force on conductors
  • Investigate the principles of motion in magnetic fields, including applications in rail systems
USEFUL FOR

Students studying electromagnetism, physics educators, and anyone interested in the dynamics of current-carrying conductors in magnetic fields.

lalala_land89
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Homework Statement


Two stiff parallel wires a distance L apart in a horizontal plane act as rails to support a light metal rod of mass m(perpendicular to each rail). A magnetic field B, directed out of the page(textbook page) acts throughtout. At t=0 , wires connected to the rails are connected to a constant current-source and a current I begins to flow through the system. East to the bottom rail, north to the rod , west to the upper rail. Determine the speed of the rod as a function of time a) assuming there's no friction b) there's friction cofficient U c) In which direction does the rod move, east or west , if the current through it is north?


Homework Equations



a) x=vt ? b) mechanical equaction Ffr= U Fn ?? c) west

I'm lost with this. help please.
 
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lalala_land89 said:
a) x=vt ?

Why do you think that is the answer? Do you have any thoughts/ideas on how to approach this problem?
 
The force on the wire is ILB. Then apply F=ma.
 

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