Insane Electromagnetic Induction Question. Challenge your brains

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SUMMARY

The discussion centers on the relationship between electromagnetic induction and gravitational forces acting on a rod within a magnetic field. The key equation presented is F = BIL, which describes the electromagnetic force on the rod, while the gravitational force is represented as F = mg. The user successfully derived the electric force on the wire as \(\frac{Blv \cos \theta}{R}\) and established that this force opposes gravity, demonstrating a clear link between velocity and force in the context of electromagnetic induction.

PREREQUISITES
  • Understanding of electromagnetic induction principles
  • Familiarity with the Lorentz force equation (F = BIL)
  • Basic knowledge of gravitational force (F = mg)
  • Concept of force vectors and their resolution
NEXT STEPS
  • Study the derivation of the Lorentz force in various contexts
  • Explore the implications of electromagnetic induction in practical applications
  • Learn about the role of resistance in electric circuits (Ohm's Law)
  • Investigate the effects of varying magnetic fields on induced currents
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Physics students, electrical engineers, and anyone interested in the principles of electromagnetic induction and its applications in real-world scenarios.

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Insane Electromagnetic Induction Question. Challenge your brains! :D

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F=BIL, F=mg




There is a B field acting on the rod so we resolve that.
I tried to resolve the other force vectors according to:
1. Force acting on rod by gravity
2. Force acting on rod by electromagnetic (F= BIL)

but I can't seem to see the link between velocity and force??

Thanks in advance guys :)
 
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the electric force on wire is
\frac{Blvcos\theta}{R}.Blcos\theta=\frac{(Blcos\theta)^2}{R}v
This force acts in opposite direction of the gravitational force.
 


Thanks, I got it :)
 

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