Do those things run off 110 or 220? Do they make 220 filters? If it's 110, how much power does it draw? I think the largest filter is 15amps.
I bet it is 220. But dont worry. You just need one 110 filter in each circuit (two 110 circuit make a 220).
The Consumer Reports for 2006 have an article about induction cooktops. They have anice picture of hald an iron pan (yes, a semicircle) on top of the cooking element and a bar of butter on top of it with half of the bar inside the pan and the other half placed directly on top of the cooking element.
The half that was in the pan was melting, while the half on the cooking element was perfectly solid.
They said that those cooktops are the fastest to heat. Almost instantly. I cannot believe that it uses 32kW continuous. Probably it is peak.
But the price is sky high. I think that they ranged between $1600 and $3000.