Q.A 93.2 MHz carrier is frequency modulated by a 5 kHz sine wave. The resultant FM signal has a frequency deviation of 50kHz.

Carrier swing is twice the deviation; the highest and lowest frequencies are the carrier plus and minus the deviation; and the modulation index is the deviation over the modulating frequency. …

[!TLDR]

The carrier swings over 100 kHz, reaches 93.25 MHz at the top and 93.15 MHz at the bottom, and the modulation index is 10.

1. Carrier swing is twice the frequency deviation:

   $CS = 2\,\Delta f = 2\times50 = 100\ \text{kHz}$

2. The extreme frequencies lie one deviation above and below the carrier:

   $f_{max} = f_c + \Delta f = 93.2\ \text{MHz} + 0.05\ \text{MHz} = 93.25\ \text{MHz}$

   $f_{min} = f_c - \Delta f = 93.2\ \text{MHz} - 0.05\ \text{MHz} = 93.15\ \text{MHz}$ …