What Force Does an Object Experience Inside a Solenoid?

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Discussion Overview

The discussion revolves around the forces experienced by an object placed inside a solenoid, specifically focusing on deriving an equation for the force based on the magnetic flux density. The scope includes theoretical considerations and practical applications related to solenoids and magnetic fields.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant seeks to derive an equation for the force experienced by an object due to the magnetic flux density inside a solenoid.
  • Another participant notes that there is no simple formula for an arbitrarily shaped body but suggests that an equation could be derived assuming a cylindrical bar magnet is used.
  • A participant inquires about methods to determine the strength of the induced magnetic field on the object.
  • It is mentioned that the force on an object with simple permeability inside a solenoid producing a uniform magnetic field will be zero, indicating that a non-uniform magnetic field is necessary for a force to act on such an object.

Areas of Agreement / Disagreement

Participants express differing views on the conditions under which a force can be experienced by an object inside a solenoid, indicating that the discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Limitations include the assumption of object shape and permeability, as well as the dependence on the uniformity of the magnetic field.

rmatiass
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Force Inside a Solenoind ?

Hello

I'm working on a personal project which involves a solenoid. I'm trying derive an equation for the Force(N) that an object would experience due to the flux density inside the coil.

The flux density can be calculated relatively easily by the fallowing equation.

b257e61dee54a7dc009b1a99929d3a92.png


Given the material permeability what force would this object experience due to the B field created by the solenoid?

Any help would be greatly appreciated...
 
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There is no simple formula for an arbitrarily shaped body. You might could derive an equation for the force if you assume a cylindrical bar magnet is used.
 


Is there a way to figure out how strong the induce magnetic field will be on the object...?
 


The force an object of simple permeability mu inside a solenoid producing uniform B will be zero. A force on such an object requires a non-uniform B.
 

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