A modulated RF waveform is given by $500$cos$[$c t $+20$cos $1$ t$],$ where $1=2$ f$1,$ f$1=1$kHz$,$

and c $=2$ fc $,$ fc $=100$MHz$.$

If the phase sensitivity Dp is $100$ rad$/$V$,$ find the mathematical expression for the corresponding phase modulation voltage m$($t$).$ What is its peak value and its frequency?

If the frequency deviation constant Df is $1106$ rad$/$V$-$s$,$ find the mathematical expression for the corresponding FM voltage m$($t$).$ What is its peak value and its frequency?

If the RF waveform appears across a $50-$ load, determine the average power and the PEP.