AC problems in friend's house

Well no. The rule requires either:
1] The single ground rod measures less than 25 Ohm. But the requires an expensive meter and up to 25 minutes testing time.
2] or a second rod must be added.
So in residential situations, they just add a second rod and call it a day.
Even with two rods, reading of closer to 100 Ohms are common at some times of the year in most locations.
I really hated that rule when I first encountered it back in 2005. Hey, we gots a spec, the rod's gotta be under 25 ohms...if it's over, like 1000 ohms, just put a second rod in, don't bother measuring anymore..
In "most locations"..do you have a link to data supporting that, I'd be interested. In my neck of the woods, that doesn't happen. In fact, my water table is about 2 inches below the basement floor during dry spells, and I'm on a steep hill. I have a sump on a battery backup in the event a storm takes out the power.

I mentioned 25 ohms to point out the fact that measurement of the ground loop resistance using a fluke 1630 would clearly indicate the neutral is fully connected if the resistance shows as not infinite. 100 ohms would still show neutral is good, which is the point of this discussion.

John
 
There are single wire 500kV+ DC power systems that also use Earth as return?
Yes.

Altho I have read that they like to run two conductors for redundancy.

Altho I have read that whenever possible, or optimum, they run both wires as a metallic pair rather than fight the problems of ground currents.

Under-sea mono-cables work too.
turn on the washing machine while he watches the light, and he sees it get brighter
That "can" be "normal". It is here, because 500 feet of #2 Al neutral. Washing machine not so much, but the well-pump is a 115V 1/2HP job and throws a several-Volt jog in the neutral when its 44A start-surge happens. Yes, half the house gets darker and half gets a little brighter. OTOH the 240V water heater and dryer hardly affect the lights.

But as said before, when I discovered a bad neutral, it was 170V one side and 60V on the other. You don't have to watch any light, just listen for the smoke.