Constant Current and Magnetic Field: How Will the Metal Rod Move?

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SUMMARY

The discussion focuses on a physics problem involving a metal rod subjected to a constant current of 5 Amperes and a uniform magnetic field of 0.75 Tesla. The rod, with a length of 0.25 meters and mass of 0.60 kilograms, is analyzed to determine its speed after 2.5 seconds and the distance it travels before stopping. The relevant equation used is F = ILB, where F is the magnetic force acting on the rod. Participants emphasize the need for clarity regarding the rod's orientation and current direction to solve the problem effectively.

PREREQUISITES
  • Understanding of electromagnetic forces, specifically Lorentz force.
  • Familiarity with Newton's second law of motion (N2).
  • Basic knowledge of differential equations.
  • Concept of uniform magnetic fields and their effects on current-carrying conductors.
NEXT STEPS
  • Study the application of the Lorentz force in electromagnetic systems.
  • Learn how to construct and solve differential equations in physics problems.
  • Explore the relationship between current, magnetic fields, and motion in conductive materials.
  • Investigate the effects of frictionless motion in electromagnetic contexts.
USEFUL FOR

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

rmor'e
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Homework Statement



A constant current of 5 Amp flows through a metal rod of length 0.25 m long and mass m = 0.60 kg slides on frictionaless rails. A uniform magnetic field of 0.75 T is directed into the page. If the initial speed of the rod is v = 5 m/s, then (a) what is the speed of the rod 2.5 seconds later, and (b) how far does it move before coming to a stop.



Homework Equations



F=ILB

The Attempt at a Solution

 
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Welcome to PF, Rmor'e.
The question isn't entirely clear - we aren't told the orientation of the rod or the direction of the current in it. Is there a diagram with the question? There should be!

Anyway, go ahead and use your formula to find the force. We can't give you much help until we see your attempt.
 
Simply construct a differential equation through N2 and solve for v and x as a function of t.
 

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