A carrier wave is frequency-modulated using a sinusoidal signal of frequency ƒm and amplitude Am.

(a) Determine the values of the modulation index β for which the carrier component of the FM signal is reduced to zero. For this calculation you may use the values of J0 (β) given in Table.

(b) In a certain experiment conducted with ƒm = 1 kHz and increasing Am (starting from 0 volts), it is found that the carrier component of the FM signal is reduced to zero for the first time when Am =2 volts. What is the frequency sensitivity of the modulator? What is the value of Am for which the carrier components is reduced to zero for the second time?