Electromagnets and an induced magnetic field in aluminuium plates

[291108]

I am trying to conduct an investigation based on the set up of a set of copper coils with AC ran through them to make them an electromagnet. Held above them inplace is an aluminium plate. I know that the changing magnetic field induces a current in the aluminium plate, which induces a voltage and then a magnetic field which is out of phase with the electromagnet, and so an oposing force is made. I am measuring the force by having a sensitive set of scales under the coil which measures the change in force on the coil.

However i am trying to investigate the effects of changing the electromagnet

I have already tried
-different diameter of wire.
-Differnt radius of the coils
-Different number of coils.
-Changing the current through the coils.

I have already discovered (i think) that it is a squared relationship for increasing the current and force.

However is there an equation for this?


Also, what kind of relationship should i expect with the other factors and why?

How exactly would i calculate the force that results in the copper coils being pushed into the scales? Measuring the change in weight only really gives me a sort of qualatative answer.


any help would be much appreciated.
Thanks

 

[NateD]

The force generated by an electromagnet can be calculated using the equation F=B*I*L, where F is the force, B is the magnetic field strength, I is the current, and L is the length of the wire in the coil. This equation can be used to calculate the force generated when changing the electromagnet parameters, such as the diameter of the wire, the radius of the coils, and the number of coils. The relationship between the current and the force generated should be a squared relationship, meaning that for every increase in current, there is a corresponding squared increase in the force generated. To directly measure the force generated by the coils, you can use a force meter or a torque meter. These instruments measure the force or torque applied to the device and can provide an accurate measurement of the force produced by the electromagnet.