Groover wrote:
As others have observed there are only three wires coming into the house and both ground and nuetral go to the same bus in the breaker box. The reason for two wires going to the same place is redundancy to reduce the risk of a wiring failure preventing a proper ground and possibly leading to someone getting hurt. As a society we got by without it for many years but decided about 15 years ago to improve safety by doubling up.
So, if I were in this situation, I would first check to be sure that the 3-prong plug has the same size ground wire as hot wire. It most likely does. I would take out the 3 prong plug and replace it with a 4 prong plug then run at least a 10 guage wire from the neutral terminal to either the electrical panel or a ground rod. The addition of the ground rod is what lets the utility company get away with only one neutral wire going to the house. A new ground rod at the plug provides the same security that the rest of the house has. This wire does not have to be insulated any more than the one from the panel to the existing ground rod. A ground rod can be added near the outlet by drilling a hole in the floor and driving the rod in. Follow the wiring instructions from GlenLever and you will be good.
A separate ground wire back to the panel is acceptable and IIRC approved by code for updating older non-grounded circuits. For the relatively older three-wire dryer and range circuits, there is a neutral but no separate safety ground, and this neutral should be sized the same as the two hots. (It is also possible to have 220V circuits and receptacles that have a ground but no neutral for devices that only use 220V power, such as welders or other larger power tools, and for these the ground conductor is not a current carrying conductor and may sometimes be undersized relative to the others. Most of the common 220V only devices in residential use—water heaters, well pumps, central air conditioners—are hardwired, so this isn't especially common in homes.)
A separate ground wire running to a separate ground rod does not provide the same sort of protection because the impedance between the new ground rod and the neutral/ground bus in the panel is not insignificant. A ground fault in the motorhome (a hard short from hot to ground) may not cause the breaker to trip because the current flow through the ground is limited by this impedance.
The purpose of the ground rod or equivalent is to make sure the overall potential of the electrical system, and the neutral bus in particular, doesn't float too far from the potential of the general environment. The purpose of the ground wire going back to the breaker box is to provide protection against a fault in the wiring or in the chassis of a device that is connected. They're somewhat related purposes, but not identical.