Task 2 a. A frequency modulation system consists of a 100 kHz carrier modulated by an audio signal of 500 Hz. The carrier and modulating signal peak amplitudes are given by 5V and 3V respectively and a deviation value of 10 kHz, derive the FM wave equation for the designed system (10 Marks) b. An AM transmitter radiates 9 kW with the carrier un-modulated and 10.126 kW when the carrier is sinusoidally modulated, and another sine wave, corresponding to 60 percent modulation, is transmitted simultaneously. i. Calculate the Percentage of modulation; (5 Marks) ii. Calculate modulation index; and (5 Marks) iii. Determine the total radiated power (4 Marks) C. Mention any two points on comparison of how Amplitude Modulation is better than Phase Modulation (6 Marks)