Electronics The initials FM stand for frequency modulation. In FM broadcasting, information is communicated by varying the frequency, that is the constant frequency f is replaced by a variable frequency f(t), which is a function of time. An exaggerated graph of this situation appears at the right. A complication of FM broadcasting is that f(t) must remain near the radio stations assigned frequency. FM frequencies are given in MHz (millions of cycles per second) a. Suppose that an FM radio wave has an equation of the following form V(r) = A sin [2pi(200,000,000 + 10,000 sin 500pi t)t. Thus, the varying frequency is f(t) = 200,000.000 + 10,000 sin 500pi t. What is the assigned frequency in MHz? b. Give the maximum and minimum frequencies of this FM radio wave over a long period of time.
Show transcribed image text Electronics The initials FM stand for frequency modulation. In FM broadcasting, information is communicated by varying the frequency, that is the constant frequency f is replaced by a variable frequency f(t), which is a function of time. An exaggerated graph of this situation appears at the right. A complication of FM broadcasting is that f(t) must remain near the radio stations assigned frequency. FM frequencies are given in MHz (millions of cycles per second) a. Suppose that an FM radio wave has an equation of the following form V(r) = A sin [2pi(200,000,000 + 10,000 sin 500pi t)t. Thus, the varying frequency is f(t) = 200,000.000 + 10,000 sin 500pi t. What is the assigned frequency in MHz? b. Give the maximum and minimum frequencies of this FM radio wave over a long period of time.