Sinusoidal voltage applied to zero resistance conductor

Click For Summary

Discussion Overview

The discussion revolves around the theoretical implications of applying a sinusoidal AC voltage across a zero resistance conductor, specifically in the context of superconductors. Participants explore the behavior of current waveforms in such a scenario, the assumptions involved, and the implications of inductance and resistance.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants propose that applying a sinusoidal AC voltage to a zero resistance conductor would theoretically lead to infinite current, raising questions about the behavior of the current waveform.
  • Others argue that the absence of resistance does not negate the presence of inductance, suggesting that a changing electric field would still produce a magnetic field.
  • A participant asserts that one cannot apply a voltage to a superconductor without first heating it to a resistive state, challenging the premise of the thought experiment.
  • Some participants express skepticism about the feasibility of the thought experiment, stating that it relies on unphysical assumptions and questioning the validity of considering a zero resistance conductor as a superconductor.
  • There are discussions about the skin effect in conductors and how it relates to AC current, with references to mathematical formulations for skin depth.
  • Participants highlight the philosophical implications of the question, comparing it to asking about division by zero, indicating the complexities involved in defining the scenario.

Areas of Agreement / Disagreement

Participants generally do not reach a consensus, with multiple competing views regarding the assumptions and implications of the thought experiment. Some agree on the theoretical nature of the discussion, while others challenge the foundational premises.

Contextual Notes

Participants note limitations in the assumptions made, such as the definition of a zero resistance conductor and the implications of inductance. The discussion acknowledges that ideal conditions are assumed, but the practicality of such conditions is questioned.

  • #31
DaleSpam said:
I understand what you are saying, but the OP specified both 0 resistance and 0 inductance (so 0 impedance, real and imaginary). Obviously it is unphysical, but in principle you cannot apply any voltage across it.

I'm sorry, but i cannot seem to interpret your statement. In my opinion, a voltage can be applied across the abnormal conductor, just that it would not 'appear' across it as there is no impedance available for the voltage to drop across and 'reflect' itself externally...as all the voltage will be 'used up' in driving infinite current thru the said conductor! :rolleyes:
 
Physics news on Phys.org
  • #32
Phrak said:
Since we're addressing an unphysical never-ever land, I think it could
Good point. If the premise gets rid of part of Maxwell's laws, why not some other part also.
 
  • #33
b.shahvir said:
I'm sorry, but i cannot seem to interpret your statement. In my opinion, a voltage can be applied across the abnormal conductor, just that it would not 'appear' across it as there is no impedance available for the voltage to drop across and 'reflect' itself externally...as all the voltage will be 'used up' in driving infinite current thru the said conductor! :rolleyes:
Phrak is right, forget what I said. You are making up a magical conductor so feel free to make up a magical voltage as well. Use whatever fantasy-land answer you want.
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 2 ·
Replies
2
Views
7K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
Replies
7
Views
1K
  • · Replies 11 ·
Replies
11
Views
12K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
3
Views
2K
Replies
53
Views
5K