How does Faraday's law of induction relate to Special Relativity Theory?

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Discussion Overview

The discussion revolves around the concept of induction, particularly electromagnetic induction, and its relationship to Special Relativity Theory. Participants express confusion about the term "induction" and seek clarification on its meaning and implications in both electromagnetism and potentially in mathematics or logic.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants express confusion about the concept of induction, specifically asking for clarification on whether it refers to electromagnetic induction or another form.
  • One participant suggests that the confusion surrounding induction has historical roots and relates to how Faraday's law has been presented in various sources, which may lead to misunderstandings.
  • A later reply mentions that the integral form of Faraday's law is often misrepresented, contributing to confusion, and connects this to Einstein's work on electromagnetism and Special Relativity.
  • Participants inquire if the confusion might stem from a misunderstanding of induction in mathematics or logic, as opposed to its physical meaning.

Areas of Agreement / Disagreement

Participants generally agree that there is confusion surrounding the concept of induction, but multiple competing views on its meaning and implications remain unresolved.

Contextual Notes

There are limitations in the discussion regarding the clarity of definitions and the potential for misunderstanding due to varying presentations of Faraday's law. The relationship between electromagnetic induction and Special Relativity is not fully explored or agreed upon.

Who May Find This Useful

This discussion may be useful for individuals seeking to understand the concept of induction in both physics and mathematics, as well as those interested in the historical context of electromagnetism and its connection to Special Relativity.

Angel_1
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I need to what is induction as it is so confusing. Thanks for the help.
 
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Angel_1 said:
I need to what is induction as it is so confusing. Thanks for the help.
What is it about induction that you struggle with? Also, do you mean electromagnetic induction, where a varying magnetic field generate a potential difference in a conductor or electrostatic induction as in the operation of a Van der Graaf generator?
 
electromagnetism
 
Or might you mean induction in mathematics or logic as opposed to deduction?
 
Angel_1 said:
I need to what is induction as it is so confusing. Thanks for the help.

There are plenty of good articles online that explain what induction is. We can't really help you unless you ask some specific questions.

anorlunda said:
Or might you mean induction in mathematics or logic as opposed to deduction?

Electromagnetic induction. It's in post #3.
 
The Wikipedia article (at least the one in the English Wikipedia) is very good. Unfortunately there are many sources (even textbooks) which add a lot to the confusion by stating the law in integral form but are not carful enough with the time derivatives. That leads to all kind of confusion. This confusion has a long tradition. It's as old as the discovery of induction by Faraday. The good thing about this confusion is that it lead Einstein to the clue, how to solve the problem how to describe electromagnetism in different inertial frames, which lead to the famous paper "On electrodynamics of moving bodies" (translation mine), i.e., the final formulation of what we call Special Relativity Theory today.

In the Wikipedia the derivation of the integral form of the induction law from the fundamental (local) laws is correct. When you use this complete formula, there shouldn't be any confusion:

http://en.wikipedia.org/wiki/Faraday's_law_of_induction#Proof_of_Faraday.27s_law
 

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