[E&M] Sliding Conductor & Magnetic Field

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SUMMARY

This discussion focuses on the interaction between the Lorentz Force and the Magnetic Force on a current-carrying wire in a sliding conductor setup. The Lorentz Force, represented by the equation qvB, acts upward to separate charges and establish current in the loop. Conversely, the Magnetic Force, calculated as ILB, acts to the west when the current flows north. The conversation also explores the implications of changing the reference frame and the resultant directions of the forces involved.

PREREQUISITES
  • Understanding of Lorentz Force (qvB)
  • Familiarity with Magnetic Force on a Current Carrying Wire (ILB)
  • Knowledge of right-hand rule (RHR) for force direction determination
  • Basic concepts of reference frames in physics
NEXT STEPS
  • Study the implications of reference frames on electromagnetic forces
  • Learn about the applications of the Lorentz Force in electromagnetic devices
  • Explore the effects of varying current and velocity on magnetic forces
  • Investigate the principles of electromagnetic induction in sliding conductors
USEFUL FOR

Physics students, electrical engineers, and educators looking to deepen their understanding of electromagnetic interactions in sliding conductors.

CyberneticTitan
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Hello,

Please consider this diagram:

TnAlF.png


From the diagram, we can see there are two forces.

One: The Lorentz Force (qvB). Using the RHR, we can see that there is a force pushing north (up) to cause the separation of charges in the sliding conductor to establish the current in the loop.

Two: The Magnetic Force on a Current Carrying Wire (ILB). Orienting our index towards the direction of the current (north in the conductor) and the middle finger into the page, we can see that there is a resulting force pushing in the west direction (to the left).

Now these assumptions are generated if we are in the reference frames of the rails.

If the current is flowing north, and the velocity is oriented towards the right, would we consider that the direction of the current to be north-east? As a result, wouldn't the magnetic force be oriented slightly north-west?

Thanks!
 
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