Al
I have seen a demonstration a long time ago where a chemical was used to show current flowing in water, I have no idea what was used but it would change color any place there was current, if I remember right it was a work shop about pool safety.
When a lamp cord was dropped into the plastic bucket of water, the water around the ends of the wire had a foot ball looking red around it between the two conductors, it reminded me of the lines of magnet lines of iron dust between the north and south pole of a magnet.
They were not just in a straight line between the conductors but belly-ed out like a foot ball.
What brought this up was a MH video on stray currents, that showed a hair dryer in a insulated sink running all the while plugged into a GFCI, he also stated the same, that the GFCI could not protect a person in this case, I agree the likely hood of an electrocution in this case would not be very great, but it could happen.
The water in the tub with soap in it would or could be a very good conductor, the space between the grounded and un-grounded conductor termination points could be far enough apart that some of the current could flow outside the appliance, think about a hair dryer, the hot goes into the handle and stops at the switch in the handle, while the grounded conductor runs all the way up to the motor and heater at the other end, I could see where some of the current could flow between the switch and the heater end and as these are shaped like a gun, this would allow current to flow across the outside.
If a person were to instinctively grab the handle they would be right in the middle of the current flow, while across one hand would not be across the heart, but it could disable an elderly person from getting out of the tub?
As Don pointed out, the demonstration I saw, did show current gradient's away from the straight line between the two difference of potential.
Sorry I didn't respond before as my keyboard got wet, had to get a new one
