Faraday's law for constant velocity, area and B-field

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SUMMARY

The discussion centers on the application of Faraday's law of electromagnetic induction in the context of a planar wire loop moving through a homogeneous magnetic field at constant velocity. It establishes that even when the area, orientation, and magnetic field remain unchanged, the movement of the loop induces a potential difference due to the Lorentz force acting on the electrons. The key takeaway is that the induced electromotive force (EMF) can be understood as a result of the rate of change of flux linkage, despite the static nature of the magnetic field and loop parameters.

PREREQUISITES
  • Understanding of Faraday's law of electromagnetic induction
  • Knowledge of Lorentz force and its effects on charged particles
  • Familiarity with magnetic flux and its calculation
  • Basic concepts of electromotive force (EMF)
NEXT STEPS
  • Study the mathematical derivation of Faraday's law in various contexts
  • Explore the implications of Lorentz force on charged particles in magnetic fields
  • Investigate the concept of magnetic flux and its applications in electromagnetic systems
  • Learn about practical applications of induced EMF in electrical engineering
USEFUL FOR

This discussion is beneficial for physics students, electrical engineers, and educators seeking to deepen their understanding of electromagnetic induction and its practical implications in circuit design and analysis.

greypilgrim
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Hi.

If a planar wire loop is moved through a homogeneous magnetic field (field lines perpendicular to the loop plane) with constant velocity and no rotation, Lorentz force will move some electrons to one side of the loop, creating a potential difference. But how does this work with Faraday's law
$$EMF=-\frac{d\Phi}{dt}$$
when neither the area enclosed by the loop nor its orientation nor the magnetic field are changing?
 
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Consider the net EMF for the loop.
 
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Induced emf = rate of change of flux linkage
 

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