How does the diameter of a coil affect the time it takes for a magnet to pass through?

I’m thinking of doing an experiment based on the question. But I have no idea if it will work. I’ve tried finding things on the internet, but they all talk about the diameter of the wire, not the coil. I think it might work(as in there will be noticeable time differences) but like theoretically what would be the explanation? Because, assuming the length of the coil is the same, the coil with the bigger diameter will use more wire, so idk if that will affect the time taken as well.

edit: I’m thinking of doing 6 different diameters(cm):5,6,7,8,9,10

edit 2: I’m now wondering if it will even work if I use a wire? Because, I’ve seen people demonstrating this with thick copper pipes or thick aluminium sheets, but never a coil of wire. There must be a reason for that right?

edit 3: I could also use aluminium foil to do the experiment if the coil doesn’t work