Why derive electric field produced by a rod?

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Discussion Overview

The discussion revolves around the practical utility of deriving the electric field produced by a charged rod, particularly in relation to its 1/r dependence at large distances. Participants explore both theoretical and practical implications, including applications to high-voltage power lines and the distinction between static and dynamic electric fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Some participants question the practical utility of deriving the electric field from a charged rod, suggesting that it may be useful for understanding fields produced by other configurations, like parallel plates.
  • One participant raises a specific scenario regarding the electric field below a high-voltage power line, indicating a practical application of the concept.
  • Clarifications are made regarding the distinction between static electric fields from a charged rod and the electric fields associated with alternating current in power lines, emphasizing the quasi-electrostatic nature of the fields at low frequencies.
  • There is mention of the need to consider the minimum diameter of high-voltage power lines to prevent corona discharge, linking the discussion to practical engineering concerns.

Areas of Agreement / Disagreement

Participants express differing views on the relevance and application of deriving the electric field from a charged rod, with some focusing on theoretical aspects while others emphasize practical implications. The discussion remains unresolved regarding the overall utility of the derivation.

Contextual Notes

Participants note the importance of distinguishing between static and dynamic electric fields, as well as the conditions under which the electric field behavior changes, particularly in the context of high-voltage power lines.

damosuz
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Is there a practical utility to derive the electric field produced by a charged rod (and the 1/r dependence at great distance)? I know it can be useful to derive the electric field produced by a large plate since you can then show that the field between close parallel plates that are oppositely charged is uniform, which is useful info for experimenters.
 
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damosuz said:
Is there a practical utility to derive the electric field produced by a charged rod (and the 1/r dependence at great distance)? .
What is the electric field 50 feet below a 700 kV interstate high-voltage power line (= long rod)? (ac power lines are actually 3 phase).

What is the minimum diameter of a high voltage power line to prevent corona?

Bob S
 
I meant the electric field produced by a static charge on a rod, not the intensity of the electric field in the radiation produced by the ac current in a wire (which is 1/r dependent too).
 
damosuz said:
I meant the electric field produced by a static charge on a rod, not the intensity of the electric field in the radiation produced by the ac current in a wire (which is 1/r dependent too).
At 50 or 60 Hz, the radiation (like from antenna) is minimal, so the power line problem becomes quasi-electrostatic. The high-tension power line hazard is the quasi-electrostatic field, not a radiation field.

Bob S
 
Bob S said:
At 50 or 60 Hz, the radiation (like from antenna) is minimal, so the power line problem becomes quasi-electrostatic. The high-tension power line hazard is the quasi-electrostatic field, not a radiation field.

Thank you for your help. Do you have any reference about this?
 

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