psparky said:
A generator naturally creates 3 phase power. (3 wires). Your residential home is typically single phase (2 wires). These two wires are "grabbed" from two of the three phase lines...say line 1, line 2, and line 3. You can grab from any two lines to make your single phase power. Send it to a transformer and you get 240 volts into the house (USA).
Actually psparky, if you pay attention to power lines in the country where three-phase is not always needed or available, they normally have only two power conductors, a line and a neutral. Your typical residential pole-top transformer is fed by a single fuse, the primary side is line-to-ground and not line-to-line. The center tap, or midpoint ground, is on the secondary side, the derived system has two ungrounded lines but still only one phase; this is why it is misleading to term such lines "phase a" and "phase b", for example, as one would in a three phase environment. The waveform of opposite ends of the coil are naturally oposite polarity however they cross zero at the same time. What you describe, using two lines for the primary, more closely relates to "two phase" systems which have fallen out of use with the advent of a three phase standard for polyphase systems.
http://www.esubnet.com/fragment-electricity-primer.html
This illustrates three phase versus single phase nicely in another way, using graphs to show the mechanical advantage of using three phase to power a motor. It helped me to see the differences between AC and DC in graph form when I was new to the subject, if you're familiar with a battery just envision a straight horizontal line plotted on the graphs at a given value and you'll see how a three phase source fits DC's continuous nature more closely than single phase.
As a mechanical engineer it is quite likely you will someday work on design for something which utilizes an electric motor, transformer, coil, or possibly all three. In this it would certainly be useful to understand the subtle differences between nominal 120, 208 and 240 volt circuits and where you are likely to encounter which.
[edit] The use of two phase conductors to feed the primary of a single phase transformer is probably more analogous to an open delta configuration than what was historically termed "two phase". My mistake. And yes it probably does happen, however I observe the line-ground connection is far more commonly used and to my mind would be a more desirable application for a few reasons.