Re your first question, it has to do with building efficient transformers. Transformers are power couplers. Since you cannot draw more power from the secondary than the wire diameter of the primary can handle, and since it is wasteful to use a diameter of wire in the primary suitable for more than the power that the secondary will draw, logically the power handing of both the primary and the secondary should be equal. If there are multiple secondaries, then the wire diameter in the primary should be selected to be able to handle the sum of the powers drawn by the secondaries. Anything else is a waste of material and makes the transformer larger, heavier, more heat-wasting, and more expensive than necessary.
Re second question, the relationship is that the voltages and currents are inversely proportional to each other, such that their product (power) is a constant.Does any one know how this works for a transformer?
Watts (power) = Volts x Amps
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