Force solenoid - magnetite powdered tip

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Designing a solenoid to interact with a magnetite-powder tip requires understanding the magnetic field gradient, as a uniform field does not exert force. The force generated depends on the gradient of the magnetic field and the volume of the magnetite material rather than just the area of the tip. The particle size of the magnetite powder is specified as 95% < 170 mesh (~53µ), which is crucial for calculating the effective volume. For a tip area of pi*(0.2mm)^2, the volume of the magnetite powder must be determined to estimate the force accurately. Accurate specifications and calculations are essential for effective solenoid design.
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Hi

I am designing a solenoid to interact with a magnetite-powder tip. I can't find specifications about the magnetite I am using, and properties seem to depend on factors I don't know. Could you give me a rough estimate (just order of magnitude is fine) of the force give a certain magnetic field B of the solenoid and a tip of area pi*(0.2mm)^2 covered in magnetite powder?

Thank you
Cristina
 
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A uniform field won't exert a force on the solenoid.

It's the gradient of the field you need.

Assuming an air coil with ~ 100 Gauss and... I need the volume of the magnetic material, not just the area.
 
It says on the pack of magnetite powder: 'Particle size: 95% < 170 mesh (~53µ)'. We are going 'dip' the tip of the object, having area pi*(0.2mm)^2, into this magnetic powder.
 

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