$($a$)$ Referring to Fig. $1($a$),$ calculate $($i$)$ the frequency $f_0$ at which the maximum power is dissipated in the loab $($comprising $R,L$ and $C)$ and $($ii$)$ the average sinusoidal steady$-$state power dissipated in the load at that frequency.

Figure $1($a$)$

Rs$=564,R=10,C=(1002)pF,L=(1000)nH$ and $Vs$ is a sinusoid with an amplitude of $1$ V $.$