How Does Material Permeability Affect Force in a Solenoid's Magnetic Field?

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The discussion focuses on deriving an equation for the force experienced by an object within a solenoid's magnetic field, specifically considering the impact of material permeability on this force. The flux density inside the solenoid can be calculated using a straightforward equation, which is essential for determining the force. Participants are encouraged to utilize online calculators to aid in their calculations. The relationship between material permeability and the magnetic field strength is emphasized as a critical factor in understanding the force experienced. Overall, the conversation seeks to clarify how material properties influence magnetic interactions in solenoids.
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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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