Electric Stress between wires of a solenoid

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Discussion Overview

The discussion centers on the concept of electric stress in a helix solenoid with multiple turns of wire, particularly in relation to the application of voltage across the solenoid. Participants explore the implications of electric stress between successive coils and its relevance in electromagnetism and engineering design.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions the validity of the claim that electric stress can be quantified as \(\frac{V}{d} \Delta a\) and seeks further information on the concept.
  • Another participant notes that while they are unfamiliar with the term "electric stress," they acknowledge that current-carrying wires exert forces on each other, referencing the definition of the Ampere.
  • It is suggested that electric stress might need to be considered in the design of large solenoids or transformers, prompting a recommendation to consult an engineering forum.
  • A participant interprets "electric stress" as simply referring to voltage, explaining that the voltage difference across the solenoid leads to a voltage difference between individual turns, which they describe as a confusing use of terminology.
  • One participant expresses gratitude for clarification on the equations related to the topic, indicating that the original equations were not visible to them.

Areas of Agreement / Disagreement

There is no clear consensus on the definition or implications of electric stress, with some participants interpreting it as voltage while others question its application. The discussion remains unresolved regarding the terminology and its significance in the context of solenoids.

Contextual Notes

Participants express uncertainty about the term "electric stress" and its mathematical representation, indicating a potential lack of clarity in the original source material. The discussion also highlights varying interpretations of the relationship between voltage and the forces acting within the solenoid.

walkinginwater
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hi, guys:
I am reading some notes of Electromagnetism. It claims that for a helix solenoid with N turns of wire, the distance between the successive coil is [tex]\Delta a[/tex], the total vertical length of the solenoid is d. The artical claims that if we apply a voltage [tex]v[/tex] to this solenoid, there will be electric stress between successive coils.
The amplitude of the electric stress is [tex]\frac{V}{d} \Delta a[/tex].
Is this right? Can anybody give more information about Electric Stress?
 
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I haven't heard the term electrical stress but two current carrying wires will generate a force between them - this is the definition of the Ampere.
I imagine that the stress must be taken into account when designing a large solenoid / transformer - have you tried the engineering forum.
 
They just mean electric stress = voltage.
Think of the solenoid as a ruler with the windings being
ticks on the scale.

If you put one voltage at one end of the coil, and another
voltage on the other end of the coil, then clearly there's
delta_V between the top and bottom of the helix.

Since there are N turns and delta_V of total
voltage difference along the length of those N turns,
there is a voltage difference or 'electric stress' (in
poorly chosen confusing language) of delta_V/N
between one turn and the next, so all the steps on the
ladder add up to the applied delta_V.
 
Thanks Xez, the equations didn't show up in my browser so it wasn't clear what the OP was talking about.
 
This Thread Has been Solved! Thanks for Meir Achuz

Thanks very much, xez!

xez said:
They just mean electric stress = voltage.
Think of the solenoid as a ruler with the windings being
ticks on the scale.

If you put one voltage at one end of the coil, and another
voltage on the other end of the coil, then clearly there's
delta_V between the top and bottom of the helix.

Since there are N turns and delta_V of total
voltage difference along the length of those N turns,
there is a voltage difference or 'electric stress' (in
poorly chosen confusing language) of delta_V/N
between one turn and the next, so all the steps on the
ladder add up to the applied delta_V.
 

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