I have a simple question that is bugging me. I know that AC power is I*V*cosθ. I cannot intuitively understand how frequency is not part of the power equation.
Say I have 2 sources rated at 110v and one of them is at 50Hz and the other is at 60Hz. How they are delivering the same power to a a resistive load?

Thanks,

 

Picture a Power AC of 120V ONE HERTZ.

Now picture the positive power peak and the negative power peak.

They sweep out a coverage of one half.

Any given multiple of 50 or 60 or however many waves will still only sweep out 1/2 of the given time dimension.

Freq counts but not for total duration of power delivered per unit time.

 

One half is not mathematically the correct ratio in dealing with the math of the subject though

 

It true there are more cycles in one second from a 60Hz source as compared to a 50Hz source. But the mathematical average of the waveform doesn't change with the number of cycles per second and neither does the average power. How would it?