Maybe this will help cement the concept:
rude man said:
but a floating power system would have enough imbalance to ground to present a potentially lethal hazard to anyone making ground contact to either hot side of the floating source.
The idea of a perfectly floating source is science fiction.
it's a matter of scale. Large system yes; small system, well, maybe.
When a system gets large enough that its surface area creates capacitance sufficient to pass a good part of an amp, maybe 1/50th, it can deliver a painful shock through that capacitance as rude man stated.
That capacitance has some impedance at line frequency.
In industrial systems it is recommended(IEEE142) that the grounding impedance be a
smaller number of resistive ohms, so that Q remains low.
In residential systems that number is zero.
Everything powered by one of these
is powered from a "floating" supply. The system may or may not be earthed. The laptop I'm typing this on is not.
There
is minute capacitance between primary and secondary windings, as mentioned.
That's minimized by split-bobbin winding, which also assures that an insulation failure won't let their two wires touch.
Here is a little transformer using a divided (or split) bobbin. This is very practical, because it completely separates the primary from the secondary winding, making it much easier to achieve the degree of insulation required for safety.
http://ludens.cl/Electron/trafos/trafos.html
What's important for beginners to grasp is that "electricity" has no magical affinity for "ground", current only goes there in obedience of Kirchoff's laws.
Ground is simply another wire that happens to go most everyplace. We have this discussion a lot here.