Induced magnetic and electric fields question

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SUMMARY

The discussion focuses on the principles of induced magnetic and electric fields as discovered by Oersted and Ampere. Oersted's principle states that a current-carrying wire induces a magnetic field that interacts with nearby magnets, causing movement. Conversely, Ampere's principle indicates that a changing magnetic field induces an electric field that affects a current-carrying wire, resulting in motion. Key equations referenced include Faraday's Law of Induction and Ampere's Law, which are essential for understanding these interactions.

PREREQUISITES
  • Understanding of Faraday's Law of Induction (∫Edl = - dΦ_B/dt)
  • Familiarity with Ampere's Law (∫Bdl = Iμ_0 + μ_0ε_0(dΦ_E/dt))
  • Knowledge of Lorentz Force Law (F = qvxB)
  • Basic concepts of electromagnetism and magnetic fields
NEXT STEPS
  • Study the derivation and applications of Faraday's Law of Induction
  • Explore the implications of Ampere's Law in circuit design
  • Investigate the Lorentz Force and its applications in particle physics
  • Examine real-world applications of electromagnetic induction in technology
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Students of physics, electrical engineers, and anyone interested in the principles of electromagnetism and their applications in technology.

Pyroadept
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Homework Statement


1. Oersted discovered that a curernt carrying wire caused a magnet to move. Why does the magnet move?

2. Ampere discovered that a magnet caused a current carrying wire to move. Why does the wire move?


Homework Equations



(i) ∫Edl = - dΦ_B/dt
(ii) ∫Bdl = Iμ_0 + μ_0ε_0(dΦ_E/dt)
(iii) F = qvxB
(iv) F = IBxL



The Attempt at a Solution


1. By eq. (i), a changing electric field will result in a change in magnetic flux i.e. will induce a magnetic field. This magnetic field will react with the magnetic field of the magnet, causing it to move.

2. By eq. (ii), a changing magnetic field will result in a change in electric flux i.e. will induce an electric field. This will react with the electric field of the current-carrying wire, causing it to move.

Do you think these answers are sufficient? Is there anything more to be said?
 
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Hi Pyroadept

Its probably worth mentioning the associated force in each situation, and how the force is created. After all its the force that causes the wire and magnets to move in the first place.
 

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