Or perhaps you could ponder the wisdom of those here who have before used hot wire to cut plastic foam. Perhaps such a device could also be used for cutting ice cream?https://www.instructables.com/tag/?q=hot+wire+cutter&limit%3Atype%3Aid=on&type%3Aid=on&type%3Auser=on&type%3Acomment=on&type%3Agroup=on&type%3AforumTopic=on&type%3AforumTopic=on&sort=none
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The wires in a toaster glow orange-hot, and these wires share the same current as the wires in the wall connected to the toaster. Yet the wires in the wall, do not glow orange-hot. The wires in the wall stay cool. Why is this so?
R = ρ*(l/A)
R/l = ρ/A
Just a thought: a sharp edge is all you need to cut through the ice cream, the problem is that the rest of the scoop tends to stick to the ice cream. Are you only planning to heat the cutting edge, or the whole scoop?
I'm gonna just throw out my first thoughts. High possibility of electrocution and the simple inconvenience of burning your icecream (a wire hot enough to cut thru the icecream would likely be hot enough at the surface to cook the milk products unless controlled very well to keep the temp low enough not to burn at contact yet high enough to effectively cut the icecream) are two reasons I'm not sure I'd attempt this one. But mainly the first.
This sounds like something that might work better on a larger scale than a handheld scoop, but in any case you might look into nichrome wire instead of copper. Nichrome makes a better heating element for most applications than copper.
You don't really need to warm wire, unless the ice cream is particularly hard? If the wire isn't thin, you'll need a heavy power supply to get it warm... L
Hook it up to a variable voltage power supply in series with a 20 ohm 10 watt resistor. Then start very low and see what temperature you get. Don't go over 12 volts. Both the resistor and wire will get hot so be careful.