Hi John,

That makes sense. I'm not sure it is easier, but it does make
sense. The partial sums of the sin and cos are rolled up into
the identities you used. It's been so long since I've needed
to do any geometry, that I wasn't thinking in that direction.

When I did it with the sums of the x and the sums of the y...
method, the sqrt(3) came in two parts, one from the sum x, and
one from the sum y.

Thanks for the insite.

-Chuck

John Byrns wrote:
Showing that sqrt(3) is the factor relating the phase to neutral voltage
to the phase to phase voltage is much easier than your method, and doesn't
even require knowing Oscar, or what a sine and a cosine are, all it takes
is a little simple geometry. Consider the following phasor diagram.

Eoa
|
|
|
|
|
|
o
/|\
/ | \
/ | \
/ | \
/------------|------------\
Eoc Eod Eob

Where
Eoa = Eob = Eoc