Electric fields in an Inductor

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Discussion Overview

The discussion revolves around the behavior of electric fields within an inductor, particularly in the context of resistance and the implications of having negligible resistance. Participants explore the theoretical and experimental aspects of electric fields in inductors and superconductors.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions the assumption that the net electric field within an inductor is zero, suggesting that the reasoning based on negligible resistance is not convincing.
  • Another participant proposes that superconductors, which have zero resistance, could provide a clearer context where electric fields arise solely from magnetic effects.
  • A participant asserts that it is an experimental fact that setups can exist with negligible or zero resistance, although they acknowledge that other setups may not fit this description.
  • There is a clarification regarding the types of superconductors, noting that Type I superconductors have zero resistance under certain conditions, while Type II superconductors, commonly used in coils, do have resistance.

Areas of Agreement / Disagreement

Participants express differing views on the validity of the assumption regarding the electric field in inductors. While some acknowledge the experimental basis for negligible resistance, others remain skeptical about the explanation provided in the textbook.

Contextual Notes

The discussion highlights the limitations of the assumptions made regarding resistance in inductors and the implications for electric fields, as well as the specific conditions under which superconductors operate.

Who May Find This Useful

This discussion may be of interest to those studying electromagnetism, particularly in the context of inductors and superconductors, as well as individuals exploring the theoretical underpinnings of electric fields in various materials.

mathsciguy
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Let's assume we are dealing with an inductor whose coils have negligible resistance. Then a negligibly small electric field is required to make charge move through the coils, so the total electric field Ec+En within the coils must be zero, even though neither of the field is individually zero.

En and Ec are the non-conservative and conservative electric field respectively.

I've quoted this from the textbook I'm using (University Physics by Young and Freedman 12th edition).

Now, it seems to me that the author just invoked the assumption that the inductor have negligible resistance and hence it only needs very small electric field (thus approximately zero?) to move the charges through it out of nowhere.

It seems wishy-washy to me, it's very convenient so that we can just advance through the discussion and go ahead with the derivation and come up with a very nice equation. My question is, really, how come the net electric field within an inductor is zero? The proposition that 'the inductor just have a very very small resistance so the electric field is zero' isn't very convincing to me, can anyone expound on this for me?
 
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Use superconductors if "very small resistance" is not small enough for you. They have zero resistance, and all electric fields have to come from magnetic effects.
 
@mfb: Does that mean that I just have to believe that proposition? I mean, if it's an experimental fact, then I don't have any problems with it. I'm just a little irked by how it's presented to me I guess, or most probably I've missed something crucial.
 
It is an experimental fact that you can have setups where resistance is negligible (or even zero).
You can have other setups as well, but they are not discussed in your quote.
 
Only type I superconductors have zero resistance, but are limited to a few mT. Type II superconductors, which are normally used for coils, have a resistance.
 

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