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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 in to the scales? Measuring the change in weight only really gives me a sort of qualatative answer.

any help would be much appreciated.

Thanks