Winne posted
"If you look at this from the other side: consider a 120/208V wye system, and place a single phase 16 ohm resistive load between phase A and phase B. 13 amps will flow through this resistive load, and 2704W will be delivered to the load. But for 13A to flow through the load, 13A has to flow through both phase A and phase B. This means that 1560VA is being supplied by each phase. If 3120VA is being supplied, but only 2704W delivered to the load, then there has to be a power factor somewhere "
I do not know where you get the 1560 VA or the 3120 VA. None of the values in the problem when properly used can produce this figure.
Power = I²xR = 13²x 16 = 2704 watts.
Power = V x I = 208 x 13 = 2704 watts.
Where did you get these numbers?