Electrodynamic Tether experiement

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SUMMARY

The discussion centers on the electrodynamic tether experiments conducted in low Earth orbit, specifically focusing on the calculation of electromotive force (emf) across the tether. The equation used is ε = Bvl, where B represents the magnetic field strength. However, participants noted that B is not constant throughout the orbit, necessitating the integration of the variable magnetic field along the length of the tether. The correct formulation for emf in this scenario is ε = ∫_a^b B(s) v(s) ds, which accounts for the changing magnetic field and velocity along the tether's path.

PREREQUISITES
  • Understanding of electromagnetism principles, particularly Faraday's law of induction.
  • Familiarity with calculus, specifically integration techniques.
  • Knowledge of orbital mechanics and the behavior of objects in low Earth orbit.
  • Basic understanding of electrodynamic tether technology and its applications.
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  • Study the principles of Faraday's law of induction in detail.
  • Learn about variable magnetic fields and their impact on induced emf.
  • Explore the mathematical techniques for integrating functions with variable limits.
  • Research the applications and advancements in electrodynamic tether technology.
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Researchers, aerospace engineers, and students in physics or engineering fields interested in electrodynamic tether technology and its applications in generating electricity in space.

shubhankar1
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I was reading about the electrodynamic tether experiments in low Earth orbits to generate electricity. I had a doubt regarding the mathematics that went behind calculating the emf across the tether. I read further and i realized they use the equation ε=Bvl, but the problem with this is that the B is not constant throughout all points in orbit. So how do you find the emf across the tether in this case where there is relative motion with velocity v and B changes at all points in the path of the wire?
 
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Integrate over the length of the wire.

##\epsilon = \int_a^b B(s) v(s) ds##
 

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