2kw per element is plenty of power, though you could definitely find more powerful ones. In my 3 years of owning an induction cooktop, I don't think I've ever had more than 1 element at full power at one time, it's really only useful for bringing water to boil, waaaaaaaay to much heat for anything else.

I'm not even sure if my entire house has a breaker for more than 32A.