I'm just about to pull the trigger on the Avantco 3500w myself. Webstaurantstore.com has better prices than amazon but if you're not a commercial buyer, they will give you a hard time about warranties and returns. They also say that the pot should not have a bottom diameter greater than 10.25". Supposedly, anything larger will cause problems and possibly lead to the failure of the cooktop. Their words, I have no idea how true that is.I think most 10 gallon pots have a 13 - 15 inch diameter. Is the Avantco out based on that?
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Not quite sure what your question is. Webstaurantstore says that the pot cannot have a diameter larger than 10 1/4". I'm assuming they are referring to the surface of the pot that is in contact with the cooktop. I haven't bought mine yet so I can't say anything definite.
As far as pot size, I am guessing they are concerned about the weight. Since the heater works by magnetic fields, the pot does not have to contact the induction heater. You can support the pot separately. I've seen pictures of oversized pots supported by 2x4's with the induction heater slid under, but not supporting the pot. My pot fit on it perfectly so I did not have to do this, but apparently it works well.
I don't think weight is the big concern here. There's a review from a home brewer whose cooktop died and the only thing the company mentioned was the pot diameter.