Electric Circuits and Networks

7.9 PROBLEMS

1. Find the amplitude, frequency, angular frequency and phase of the following sinusoidal functions of time.
   1. x(t) = 10 sin500πt – 5 cos(500πt – π/5)
   2. x(t) = 7 sin(120πt – 50°) = 5 cos(120πt = 30°)
   3. x(t) = 7 cos(50πt) = 2 cos(50πt = 30°)

           –3 sin(50πt = π/4)

2. Find the phase of x(t) and y(t) with respect to a sinωt function, phase difference between x(t) and y(t) and the lead/lag relationship between them for the following.

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3. If x(t) = 2 sin50πt + 3 cos55πt + 3 sin60πt, find the period and cyclic frequency ...