In this problem, we consider what happens if the frequency and amplitude of N different signals are still equal, but the different phases of the signals are randomly distributed over the [0, 2π] interval. Find the amplitude of the resultant signal if N = 1000, and compare it with the maximal construc- tive interference result. (Hint: Recall that the rand(1,N) command gener- ates a 1-D array of N random numbers from the interval [0, 1].)
Pb. 6.40 The service provided to your home by the electric utility company is a two-phase service. This means that two 110-V/60-Hz hot lines plus a neu- tral (ground) line terminate in your panel. The hot lines are π out of phase.
a. Which signal would you use to drive your clock radio or your toaster?