In power transmission why inductance L increases with increased spacing

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Discussion Overview

The discussion revolves around the behavior of inductance in a two-wire AC power transmission system, specifically addressing why inductance increases with increased spacing between conductors. Participants explore theoretical aspects, mathematical formulations, and physical interpretations of inductance in relation to conductor spacing.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • Some participants present the formula for inductance, L = 2 X 10-7 ln(De1/4/rx), and question why inductance increases with increased spacing, suggesting that increased spacing should lead to decreased flux linkages and thus lower inductance.
  • Others argue that as spacing increases, the mutual flux between the conductors may decrease, leading to a reduction in inductance, but they also acknowledge the complexity of the situation.
  • A participant mentions that the proximity of conductors affects how flux cancels or adds, noting that closer wires can lead to more significant cancellation of flux, while further apart, the flux may couple rather than cancel.
  • Some participants discuss the concept of magnetic lines of force, debating whether they add or cancel when currents flow in opposite directions, with differing interpretations of how this affects inductance.
  • Concerns are raised about the implications of increased inductance with spacing, with one participant questioning how this could lead to infinite inductance in practical scenarios.
  • There is a suggestion to consider the area encompassed by the loop formed by the wires, indicating that increasing the distance may increase the area and thus affect the inductance calculation.
  • Participants express confusion regarding the relationship between magnetic flux, reluctance, and inductance, with some seeking clarification on basic concepts and their application to the problem at hand.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the relationship between conductor spacing and inductance. There are multiple competing views regarding the effects of spacing on flux linkages and inductance, leading to ongoing debate and uncertainty.

Contextual Notes

Participants highlight limitations in their understanding of the magnetic circuit and reluctance, indicating that assumptions about the behavior of magnetic fields and flux may vary based on the specific configurations of the conductors.

  • #31
jaus tail said:
so why is L because of the blue flux ignored?
because your blue flux line does not pass through the area enclosed by your current loop.
So it doesn't link the turn(s) of your inductor...
 
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  • #32
Okay. Thanks a lot.
The reason i didn't draw end view earlier was cause i didnt know what an end view is. Here we have front view, top view and side view.
 
  • #33
jaus tail said:
Here we have front view, top view and side view.
Ahhh real drafting ! ok, call it front view...
 

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