An FM transmitter delivers 30 KW into a 50 ohm antenna. THe frequency swing from 91.425 Mhz to 91.575 Mhz occurs at a rate of 10,000 times per second and this is achieved by applying a 3V peak intelligence signal to the modulator's input. Calculate the modulation index, the sensitivity of the transmitter's modulator and write the equation of the FM signal.