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Max power based on voltage

I noticed that induction plates have different max power depending on the (single-phase) current voltage (there are exceptions, but this is what can be usually seen in stores)

For instance

  • in Europe (220V) the power is around 2400W,
  • in the US (120V) it's ~1800W and
  • in Japan (100V) the max power is around 1400W

Besides possible regulations, is there an electrical reason for these disparities?

(The power depends mainly on voltage and amperage, and a lower V would imply a higher A to reach a given power. Thus, could a reason to keep a lower A be because the electric wires could heat up too much?)