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NO ONE should use a variac that doesn't have a three wire
(grounded) cord AND outlets that are also 'three prong. Old,
two wire corded variacs are (CAN BE) killers. Having properly
installed grounded AND polarized input/output cords will insure
that the Neutral AC wire is common between the input and
output wiring.
Chuck's fix will work if and only if one uses the Variac to power
appliances with three-wire cords and plugs. I can't think of any
time I've used a Variac in that manner. I always want to do some
fiddling with the output. In one mildly dangerous demonstration I
hook the output to the ends of a three meter long piece of piano
wire suspended horizontally two meters above the floor. (I do this
before turning anything on!) I then vary the temperature of the
suspended wire by varying the voltage output of the Variac. Of
course this demonstration is potentially dangerous, but I don't
have my students do it; I do it. In this case and most others it
doesn't matter that the output plug is two wired and unpolarized.
A Variac can be made safer to use by connecting it to an isolation
transformer (1:1) which, in turn, is connected to the mains.
Leigh