BlueCrab,
You say..."Okay RedChief, using Ohm's Law as I understand it, I think what you are saying is that since R (the duct tape) = E (the 50,000 V.) divided by I (the minimal current), then the resistance of the duct tape would be minimal and therefore not prevent the second prong of the stun gun from functioning.
IOW, the duct tape would have allowed the electrical circuit from the prong of the stun gun that rested against the tape to have been completed, even though there is little evidence of any stun gun "signature mark" on the skin at that spot (under the tape)."
I say--As to the resistance of the duct tape: Well, actually the resistance of the duct tape would likely be quite a bit greater than that of the skin, etc., initially, so initially a considerable voltage, say, 45,000 volts (lasting only few microseconds) could develop across the tape (in the direction of the current which would probably be generally perpindicular to the tape), but eventually the insulation provided by the tape would break down (it is the case with most insulating materials, including polyethylene, that as soon as it's insulating capacity is exceeded, current begins to flow and the molecular structure begins to change), so it's resistance would be a function of time--the longer the time, the lesser the resistance. If and when it substantially carbonized, it's resistance could drop to a value even less than that of the skin, in which case most of the voltage drop would develop within the skin and flesh. This is a dynamic situation and would be an example of non-linear resistance--resistance that is not constant but changes with time and possibly even the magnitude of the voltage applied. So, this is not an easy thing to analyze and predict even though, in principle, the mechanisms involved are not all that complex. Polyethylene will eventually deteriorate under electrical stress (it's usually rated in kilovolts per inch) and develop "trees" which will ultimately result in substantial leakage and eventual arcing and short circuit. The upshot of all this is that this duct tape wouldn't prevent stunning. You might try sticking a piece of this tape to the electrode of a stun gun and seeing if it prevents the electrodes from arcing. I think you'll find that it doesn't. The stun gun won't even "know" it's there. Prevent the circuit from being completed, no it wouldn't. I think you'd find that if you measured the voltage across the electrodes while they were applied to the skin (don't try this at home), it would be appreciably less than 50,000 volts. You could calculate how much current would be necessary to maintain 50,000 volts. I think you'd find that it would be much more current than the gun could deliver. The 50,000 volts is probably an open-circuit rating (no current).
You say---"The only other concern then is: Was the tape that stretched across JonBenet's mouth actually long enough to have allowed it to be less than 1 3/8" (the distance between the stun gun's prongs) from the more obvious stun gun mark (large round red mark) on the cheek near the ear? I measured this distance on my 8-year-old granddaughter and it appeared the tape across the mouth would have had to be a minimum of about 6" to 7" long to have reached back that far. Rumor has it that the tape was only 5" long."
I say---Ah hah! So we should find a mark within a 1-3/8 inch radius of the large mark near the ear. Have you found it?
"Stun gun? Can you buy those?"