# Solenoid Force Vs Amp-Turns in Saturation Region

I'm trying to understand solenoid behavior through the magnetic saturation region.

Most solenoid charts show a linear force vs current:

This doesn't seem to show any saturation. I assume that's because the currents on the chart are too low.

What happens when parts of the magnetic circuit start to become saturated?

Does the graph level off, or does the force continue to increase, but at a reduced rate?

• At saturation, the differential $μ_r$ of the plunger asymptotically approaches 1. I think this would mean the force would asymptotically approach a constant, but I'm not certain and can't be bothered to do the math on it right now. Hence why this is a comment and not an answer. – Hearth Oct 28 '18 at 23:39
• With as much air gap as there is in a solenoid, does the iron even saturate to a significant degree? – TimWescott Oct 28 '18 at 23:48
• @TimWescott Well, if you put a truly ridiculous current through it... – Hearth Oct 28 '18 at 23:50
• The "solenoid" in this case will be a coil gun. So there may be lot of current. – Drew Oct 29 '18 at 0:01