Assuming you are trying this with coils unloaded.
If so,
1. The EMF generated in the coils has no current component, so there will be no back MMF generated by the coils to try to interfere with the magnetizing field.
Until current flows in the coils, the coils cannot act like an electromagnet, as an electromagnetic field is a result of the AMP TURNS... no amps... no field generated.
2. All things being equal, doubling the N turns in the same space will give twice the EMF unloaded as the N turns was.
When you load this, two things happen.
a. The higher resistance of 2N turns will lower the output voltage via voltage loss= I x R in the coil. So output will be open EMF-(IxR)... and R will be half in 1N turns... But unloaded I=0, so no effect.
b. Particularly with weak fields from the magnetizing source (ceramics with large gap), your back MMF (magneto motive force) will have greater influence in trying to repel the magnetizing force, and will current limit earlier as the amp turns increases... but unloaded this is mute.
3. The copper mass does not absorb any field. It is not magnetic, and as such the field passes straight through it at no load, as if it was not there (ignoring eddy currents). So there is not a secret "mass" of copper that is optimum from this perspective... As above when loaded, your back MMF will come into play, but not unloaded, and thats AMP TURNS .. not copper mass.
4. As I understand it ( may not be completely correct) if we look at a Cathode Ray Tube (Older tv), we use a magnetic field to move an electron beam across the face of the tube which impacts the phosphor, and we see a picture. So we know that a magnetic field can move charge ( electrons in the beam in this case). Knowing this, if we now move a conductor through a magnetic field, we move charges around in the conductor.
In our wire we can use the right hand rule to see which way the charge moves. This displacement of charge results in an electric field produced between where the charge was, and where it is now, so we have a potential... our EMF ( the plus moves one way, the electrons move the other.. depends how you think of it). The moment we stop moving the field, all the charge goes back to a neutral position, and we have no electric field again (EMF) , but just a neutrally charged conductor. There is no force holding the opposite charges apart anymore.
When we reverse the field, the charges move to relatively opposite positions, and we get a negative EMF whilstever the uniform field is moving past the conductor.... and then collapses to equilibrium again when the field ceases. If we move the same magnetic field faster, charge is separated to a higher potential, and the resultant EMF is higher, or if the moving field is stronger, we can unbalance the neutral conductor more, with the same velocities. If we have more wires in series inside the field, seeing the same velocities, we can add these for more output... ie more turns....... higher EMF for the same conditions.
At least thats how I look at it, and warmly welcome better explanations..... but it seems to explain it fairly well. I haven't seen a good explanation as yet. Hopefully someone here will chime in after seeing this drivel.
5. I don't seem to be able to explain your results with the information at hand. I'm missing something, or I don't understand the geometry at play.
.......................oztules