etermine $($a$)$ the duty cycle k$,($b$)$ the filter inductance L$,($c$)$ the filter capacitor C such that

$$ The output voltage reaches the average value of Va $=10\mathrm{.}8$ V with the peak$-$to$-$peak output ripple

voltage of $10$ mV

$$ The output current reaches the average value of Ia $=0\mathrm{.}4$ A with the peak$-$to$-$peak ripple current of

inductor limited to $0\mathrm{.}2$ A$.$