Obviously, there is sufficiently little difference in the big picture that both
standards have survived in different jurisdictions. (In fact, there are more
than two standards: there are places with 110, 120, 130, 220, 230 240 V nominal
line voltage [generally +/-6%] plus both 50 and 60 Hz frequency standards.
There has been a little progress toward increasing standardization, but it has
been very slow.) The existence of the various standards has been largely the
result of local politics and historical accident.
Roughly speaking, to operate a particular appliance requires a particular
amount of POWER, which (at least for resistive loads) is current times voltage.
If you double the voltage, you draw half the current to achieve the same power.
The primary advantage of lower current is that you lose less power in the wires
feeding current to the appliance (or you can use smaller, cheaper wires for the
same power loss rating). On the other hand, the higher voltage is somewhat more
dangerous if accidentally touched or if there is an accidental short circuit.
Some experienced electricians are relatively casual about touching 110 V
circuits, but all respect 230 V. (This constitutes a "don't-try-this-at-home
thing, though--it's quite possible to get a fatal shock or start a fire with
110 V!) Current trends are toward the use of even lower voltages (24 V, 12 V, 5
V, 3.3 V...) for any devices which don't draw much total power to increase
safety. Power is rarely distributed at these lower voltages; rather it is
converted from 110 V or 230 V by a transformer at the earliest opportunity.
Even in North America, 220-240 V is commonly used in residential appliances for
most high-power electrical appliances (ovens, furnaces, dryers, large motors,
etc.) so that the supply current and supply wire size can be smaller. Higher
power industrial applications often use 480 V or more. And, of course,
transmission lines use progressively higher voltages as the distance and total
power go up (22,000 V for local distribution to 1,000,000 V for long distance
lines).
For further reading, one good newsgroup discussion on the issue can be found at
sci.engr.lighting:
http://groups.google.com/groups?hl=en&threadm=6bg74c%24r7%
40cucumber.demon.co.uk&rnum=12&prev=/groups%3Fq%3Dpros%2Bcons%2B120%2B240%
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