As I multiply these together what we're going to be doing is we're going to use

the phasers for

our calculation to calculate what's known as the complex power.

And the way we calculate that is that the complex power is equal to one-half times

the voltage phaser times the current phaser but the current, phaser is

going to be the complex conjugate of the phaser, not the phaser itself.

So S is equal to one-half VI*.

Well, remembering that my phaser for voltage is going to have a form of vm

with a angle of theta v And our current Im with an angle of theta I.

Multiplying these together in this fashion gives us

the complex power which we denote as S = Vm x Im

divided by 2 with an angle of theta v- theta i.

In this particular example, if I take 5 x 2.5 divided by 2 = 6.25,

and if I take pi thirds and subtract pi twelfths, I get pi fourths.

So that means that the complex power for

this system is equal to 6.25 with an angle of pi fourths.

Well, this is all well and good, but what does it really mean?