Magnetic Saturation in Solenoids: Core Size & Shape Impact?

[celeramo]

Magnetic Saturation??

In a solenoid, does the magnetic field strength at which a core, in this case iron, begins to saturate change relative to the core's size or shape? Or is it constant for the material of the core, regardless of other factors? in other words will the core begin to saturate at so many gauss/tesla regardless of the core's size or shape? Please and Thank You

 

[Meir Achuz]

The saturation actually depends on M.
For a long or toroidal core, B~4pi M (in Gaussian units), so the saturation would seem to depend on the same B.
However for other shapes, like a sphere or a disk, B<4pi M for much of the material, and saturation would occur at a lower B.

 

[astrokreng]

I can confirm that the magnetic field strength at which a core begins to saturate can indeed change relative to the core's size and shape. This is because the size and shape of the core can affect the amount of magnetic flux that can pass through it. A larger or differently shaped core may have a different cross-sectional area, which can impact the distribution and concentration of the magnetic field lines. This can ultimately affect the saturation point of the core.

Furthermore, the saturation point of a material is not constant and can vary depending on factors such as temperature, composition, and impurities. Therefore, even if the core material remains the same, the size and shape of the core can still have an impact on its saturation point.

In summary, the core size and shape can indeed impact the saturation point of a solenoid, as these factors can affect the distribution and concentration of the magnetic field lines. It is important to consider these factors when designing and using solenoids in order to optimize their performance and avoid magnetic saturation.