That's right, except for the losses in transformer. This impedance cannot be simply measured with ohmmeter because transformer does not operate at DC but behaves according to ohm laws for the CHANGES in voltage. It is called reflected impedance. Transformer has to be large enough to carry desired power. Cross section of the center of the core is proportional to square root of power and is roughly 1 square inch for 50W (for 200W it will be 2 sq inch etc.). We want as few turns as possible to avoid losses in copper but we have to provide minimum number of turns per volt. This number is inversely proportional to square area of the core and is smaller for large transformers. Knowing maximum voltage and turns per volt we can establish absolute number of turns. We select core material, size and number of turns to prevent core saturation, when magnetic flux is higher than max flux density rated for given core.
All this is also related to frequency. It is easier to saturate transformer at lower frequencies and it has to be taken into account for size of core and number of turns per volt.
All this is also related to frequency. It is easier to saturate transformer at lower frequencies and it has to be taken into account for size of core and number of turns per volt.