What is the self inductance of a circular loop of wire?

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Discussion Overview

The discussion centers around the self-inductance of a circular loop of wire, specifically exploring how to calculate it and the derivation of the relevant equations. Participants engage with theoretical aspects and seek proofs related to the inductance calculation.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant asks about the self-inductance of a circular loop with current I and mentions the complexity of calculating magnetic fields using elliptic integrals.
  • Another participant shares a link to a tool for loop inductance but does not provide further explanation.
  • A third participant expresses a desire for a proof of how the inductance equation is derived, indicating some frustration with the available resources.
  • A later reply suggests that the equation is an approximation and mentions that derivations may be found in older papers or specialized textbooks, while also providing a link to a derivation that uses approximations.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the derivation of the self-inductance equation, with some indicating that existing resources are insufficient or approximate.

Contextual Notes

There are indications of missing assumptions regarding the derivation and the nature of the approximations involved in calculating self-inductance.

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If current I passes through a circular loop of radius R,then what will be the self inductance of that loop?
(calculating flux through the loop leads to calculating magnetic field at every point inside the loop which is an elliptic integral.)
 
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