I just turned the experiment off, it was working fine no issues with the tape. The resistance of the copper tape "element" actually went down to about 1 ohm.
I used an additional resistor because the resistance of the adhesive elements of tape are hard to set to an exact current with it as the only resistive element. The adhesive is not a hard and fast resistive element but it's resistance appears to change with applied voltage a bit. Anyway, the point is it conducts pretty well. I'd like to see what tests you may want to do with it yourself.
I would have guessed your PS would run CC mode into a dead short and be stable.
Sounds like it works well for DC. The idea you could stick it to a conductive surface without solder and get a decent connection may prove to be very useful depending how well it adheres and how difficult it is to clean the residue once removed.
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Normally I use foil tape for RF but with the conductive adhesive, maybe it could be a much simpler approach to probing and other...
https://www.eevblog.com/forum/testgear/show-us-your-square-wave/msg5164857/#msg5164857
I measured a thickness of 0.02mm (calipers). About half the thickness of the 3M tape I normally use.
I cut off a section 50mm X 15mm and had a look under the microscope. I notice the bottom side has black spots all over it. I wonder if that is some sort of conductive material that they dust onto the foil.
I then attached both ends to two copper plates. Each end used a surface of about 15mm^2. Using my Kelvin leads, I measured 0.513 ohms. I then pulled off the foil on one side and reattached it several times.
2 0.479
3 0.630
4 0.679
5 4.649
6 1.965
7 4.120
Looking at the area where I was attaching the tape, I did not see any residue.
Next I ran 1A through it (same used section) and noticed that it has become a bit intermittent. Unlike your test, I just shorted the supply and set the limit. No other resistors were used. I had to use my finger nail to get a decent contact and let it set for 10 minutes. No problems. Had I started out with a fresh section, I'm sure it wouldn't have required me to fuss with it.
Next I tried some ProClean (methanol blend) on the adhesive. The adhesive did not loosen up and once dried, stuck fine.
Last, I then tried soldering the stuck foil to the PCB material. I would say its about as good as the 3M tape.
Overall, I'm impressed how well it continued to stick and make decent contact. That was a good find. I'm sure I will find a few uses for this stuff. The fact it doesn't appear to leave behind a lot of sticky residue, I can see using it for makeshift ground straps for probing.