Different type of solenoid design help

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    Design Solenoid Type
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Discussion Overview

The discussion revolves around the design and calculation of magnetic fields for a non-cylindrical solenoid. Participants explore how to estimate the magnetic flux density for a solenoid with a different shape than the standard cylindrical form, addressing both theoretical and practical aspects of solenoid construction.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • Juan Motta seeks guidance on estimating the magnetic flux density for a solenoid that is not cylindrical, expressing uncertainty about the appropriate formulas to use.
  • Some participants note that the magnetic flux density varies spatially and suggest using the formula for cylindrical coils if the coil length is much greater than its width.
  • Others argue that for short coils, numerical integration may be necessary to calculate the magnetic field accurately.
  • One participant mentions that Ampère's law may not be applicable due to the lack of symmetry in the coil's shape and suggests using the Biot-Savart law instead.

Areas of Agreement / Disagreement

Participants express differing opinions on the applicability of Ampère's law versus the Biot-Savart law for calculating the magnetic field in non-cylindrical solenoids. There is no consensus on the best approach to take for the specific shape of the solenoid discussed.

Contextual Notes

The discussion highlights the limitations of existing formulas for cylindrical coils when applied to non-standard shapes, as well as the potential need for numerical methods in such cases.

JuanMotta
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Hi my name is Juan Motta and i´m new in this forum, I`m a total begginer in physics. I´m planning to build a solenoid (air coil or iron coil, i don´t know) with different form, like this:


http://www.divshare.com/img/thumb/19310413-b22.jpg



And i have some cuestions about, because i have some formulas from this forum but they are applicable with a cylinder form, how can i estimate the gauss from this type of solenoid?

Thanks and sorry about my english

Juan Motta
 
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What do you mean what "gauss", the magnetic flux density varies from place to place.
If you are referring to the approximately constant field inside the solenoid, there is a well known formula for it.
 
Sorry... and "Yes" is the approximately constant field inside the solenoid, but i don´t know how can i estimate in this type of shape because is not a cylinder...
 
As long as the coil length is much larger than the "width", the shape should not be important. Just use the formula for cylindrical coils. If the coil is not long compared to the width, you will need integrations to calculate it (probably numerically).
 
Yes, the coil is not long, is short, so integrations for the for calculate the radius?... I think I'm very far to get to know that...
 
Look into amperes law, the field can be quite difficult to find for current densities without good symmetry
 
You cannot use Amperes law (no straight wire of infinite length), you need Biot-Savart to calculate the magnetic field.
 
thank you for all your answers
 

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