One major problem with using big kettles on stove tops is the possibility of damage to the top of the stove. Gas ranges are generally okay because of the clearance between the top of the range and the top of the burner grates. Electric elements generally don't have that much clearance between the top of the element and the tops of the range. When you have a pot that overhangs the burner quite a ways, high heat becomes trapped between the kettle bottom and the top of the range. That part of the range isn't intended to take that much heat for very long. Also if that part of the range top is not absolutely clean, you may have a permanently burned on stain. Be sure to check your clearance and overhang before using a large kettle on a burner. I had one electric range I completely ruined by not checking. In my case so much heat got reflected back into the burner itself that the wiring down below got completely fried.

I don't want that to happen to someone else.
Wayne