For the complete power supply circuit shown below, $R_L=40,$ and $C=6800F.$

a$)$ Determine Rs such that $I_z=I_{zr}$

$25$pts

b$)$ Determine the output Vpp $($Ripple$)$ and Vo $($DC$)$

c$)$ Does the ripple output voltage $($Vpp$)$ satisfy the industrial standard? Why? Write you answer quantitatively based on the industrial standard condition.

Zener specs $1N5240B$:$Vz=10V,I_{zr}=20mA,I_{zK}=0\mathrm{.}25mA,$IzM$=50mA,r_z=17$ @$)$ Izt.