Even though it is wrong, is it really any different than using a 3 wire receptacle for a dryer from days gone by?
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Not really much different. You do have additional connection(s) to possibly fail. As far as using a single conductor for both grounded and grounding conductor - it electrically is the same. Code still wanted that conductor to be insulated even when 3 wire was the normal practice.
I cant speak for the "days gone by", but I am wondering if this is single phase 120V or single phase 240 volt? If its the Latter I woudl say that there are safety issues....
It is 120/240 as in both voltages are utilized for this particular circuit, and all three conductors can be carrying current.
Yes it is wrong in more ways than one. I was even taught to use 10/2 with bare ground many years ago.
So if it was a 10/3 without ground, how much different is this and installing a jumper compared to using a 3 prong dryer outlet? Still wrong, but just as safe as the old way of doing it with 3 wires?
How about people that don't remove the bonding jumper in the dryer when utilizing a 4 wire cord?
IMHO, with a 10/3 without ground, the fault current, if any would travel through the jumper to the grounded conductor back to the source. Since the grounding jumper is for Safety, I would say that the 10/3 would be the better choice since with the 10/2 the return current from normal operation tracks along a parallel path.
Having a 4th conductor for equipment grounding purposes only is the safest method. Whether 3 conductors has an insulated grounded conductor or not, it is still going to raise the voltage of the frame of the appliance to the same level as the voltage drop on the grounded conductor, because they are electrically connected together, and anything conductive that is in contact with that appliance or the so called "EGC" will be subjected to same voltage or will carry some neutral current if it is in contact with anything grounded.