Force on a Magnet in Lenz's Law

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SUMMARY

The discussion centers on the mechanics of the force experienced by a bar magnet as it exits a loop of wire, as explained by Lenz's Law. When the magnet moves away, it induces a current in the loop that generates a magnetic field opposing the magnet's motion. This induced current is a result of the change in magnetic flux, as described by Faraday's Law of electromagnetic induction. The force acting on the magnet can be quantitatively expressed using the formula F = ΔE / Δs = (Emagn * ΔV) / Δs, where Emagn represents the magnetic energy density.

PREREQUISITES
  • Lenz's Law and its implications in electromagnetic induction
  • Faraday's Law of electromagnetic induction
  • Understanding of magnetic energy density (Emagn)
  • Basic knowledge of calculus for understanding energy gradients
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  • Study the mathematical derivation of Faraday's Law and Lenz's Law
  • Explore the concept of magnetic energy density and its applications
  • Investigate the relationship between induced current and magnetic flux
  • Learn about practical applications of Lenz's Law in electromagnetic devices
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  • #31
No the product Emagn*ΔV gives you the amount of magnetic energy in the small volume
and not the difference in energy. Emagn is the amount of magnetic energy in one unit of volume.
 
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  • #32
Emagn has the unit [ J/m3 ]

ΔV has the unit [ m3 ]

Thus

E2 - E1 = Emagn * ΔV

has the unit [ J ]. Why do you continue this discussion ?
 
Last edited:

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