Derivation of Faraday's Law of Induction?

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Discussion Overview

The discussion centers on the derivation of Faraday's Law of induction, specifically seeking a foundational derivation based on the Lorentz Force. Participants express a desire for a more fundamental approach rather than existing proofs that appear to rely on established results.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant requests a derivation of Faraday's Law starting from the Lorentz Force, indicating a preference for a fundamental approach.
  • Another participant references a Wikipedia page that provides a proof of Faraday's Law but notes it does not meet the request for a ground-up derivation.
  • A third participant expresses dissatisfaction with the existing proof, describing it as more of a "plug and chug" method rather than a thorough derivation.
  • This participant also mentions an observation regarding the application of the right-hand rule in the context of a speaker coil, suggesting a discrepancy with the predictions of Lorentz's Law.
  • Another participant provides a link to a related thread on the Physics Forums, indicating a search for further information.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the availability of a satisfactory derivation of Faraday's Law from the Lorentz Force, indicating that multiple views and approaches are present in the discussion.

Contextual Notes

Participants express limitations in existing resources, highlighting a desire for a derivation that does not assume prior knowledge of Faraday's Law. There is also an indication of unresolved questions regarding the application of the right-hand rule in specific scenarios.

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I was wondering if someone could show me the derivation of Faraday's Law of induction from the more fundamental Lorentz Force.
 
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Thanks, I saw this earlier when looking for the answer myself. I'd hate to be picky, but I'm looking for a derivation starting from the ground (Lorentz) up while the proof on wiki was more of a.. plug and chug.

the page refers to some other approaches but the two available ones both start with faraday going backwards.-----------

originally i was looking at a speaker coil and applied the RH rule just out of habit, then i noticed the direction of force predicted by the Lorentz's Law wasn't what was happening. since the Lorentz law is more fundamental i wanted to explain faraday's with it.
 

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