Make a video to show fluctuation of phase shifting in an Alternating Current Circuit

You need to be mathematically skilled as well as knowing how to make a video. I would like to show the difference in your electric bill where you pay for Apparent Power (S) which is a function of Active Power (P) and Reactive Power (Q), so the function is S^2=P^2 + Q^2 or then S=SQRT(P^2+Q^2) It needs to show how the electric current normally has its fluctuating voltage U (in Volt) and current I (in Ampere) oscillating in a perfect Sine-wave when you ONLY have pure resistive load (e.g. heating) but how there is a phase shift oscillating between 0-45 degrees when you have inductive loads (e.g. motors, welding, compressors, transformers etc). Since the phase shifting will be going between 0 and 45 degrees the whole time, I want to show how the electric bill is normally averaging to about the 22,5 degrees in the middle. If you're interested in how the power in alternating currents work, here is a good video about it: [login to view URL] I don't want to show how it works, but to make any NON-Engineer understand how it actually means you're paying for a lot that's not in use (the reactivfe power Q) that only flows back and forth.