Effect of electromagnetic damping with variable current

[Samlax]

Hi guys, first time poster.

My question is; How would a constant damping provided by an electromagnet affect the damping ratio (and logarithmic decrement) amplitude? And how would increasing the current through the electromagnet affect the damping?

So far I've found Biot-Savart's Law which suggests the EMF will be directly proportional to the current.
However, my results suggest a curve between the Current and the logarithmic decrement.
I know that the logarithmic decrement to damping ratio relationship will be a straight line.

Am I reading the law wrong, or have I measured the results incorrectly?

Thanks,
Samlax

 

[rude man]

You need to be more specific as to what you're doing.

 

[Samlax]

I'm investigating the effect increasing the Current has on a particle that is freely oscillating between two springs, but is dampened by an electromagnetic dampener that is meant to model a linear viscous dampener.

From this I am finding the damping ratio, and need to find a relation between an increasing Current and the ratio. I predicted it would be linear as Current is a constant in Biot-Savart's Law, but my results have returned with a curved line.

Hope this is more accurate?

 

[rude man]

The probable cause for the nonlinear relationship between damping and current is probably the tendency toward saturation of the "particle". Of course it could be other things, I don't know the details of your setup. The electromagnet could itself be saturating.

The relationship between B and H in paramagnetic materials (iron, nickel, alloys thereof etc.) is not linear. As H (current) increases, the B curve tends to flatten out.

 

[rezeew]

Based on Biot-Savart's Law, the electromagnetic force (EMF) is directly proportional to the current, meaning that increasing the current through the electromagnet will result in a stronger damping effect. This is because the EMF generated will produce a stronger magnetic field, which will in turn create a stronger force to oppose the motion of the object being damped.

However, the relationship between the logarithmic decrement and the damping ratio may not be as straightforward. The logarithmic decrement is a measure of the rate at which the amplitude of the oscillations decreases over time, while the damping ratio is a measure of the rate at which the oscillations decrease relative to the initial amplitude. Therefore, it is possible that increasing the current may not have a linear effect on the damping ratio.

It is also important to consider other factors such as the mass and stiffness of the object being damped, as well as any external forces acting on it. These can all affect the results and may explain the curve you are seeing in your data.

It is recommended to further investigate and analyze your results to determine the exact relationship between the current, damping ratio, and logarithmic decrement. This may involve conducting additional experiments or consulting with other experts in the field. It is also important to ensure that all measurements are accurate and precise to avoid any errors in the data.

Overall, it is clear that the effect of electromagnetic damping with variable current is complex and requires careful study and analysis to fully understand its impact. Keep exploring and questioning your results to gain a deeper understanding of this phenomenon.