My understanding of how a transformer works is that there is a primary and a secondary coil wrapped around a common iron coil. An alternating current in the primary coil results in a changing magnetic field which in turn results an induced current in the secondary coil.
The resulting voltage across secondary coil is proportional the the number of turns in the secondary coil. My understanding of this is that each loop produces a small emf and these loops are all in series so adding more loops is like adding more cells in series in a battery.
My question is why does adding more loops in the primary winding reduce the output voltage? In an electromagnet, increasing the number of turns of wire increases the magnetic field. So I would think that increasing the number of loops in the primary coil would result in a larger magnetic field and thus a greater induced voltage in the secondary coil.