Problem A dc source is producing a voltage that is equal to $5$ V $.$ The load needs a constant voltage at $15$ V but negative with respect to common ground. Design a converter for this application. The followings are the additional specifications.

$P_o=30W$

$V_{o}50mV$

$I_{L}20\%of{I}_L$

$f_S=200kHz$

a$)$ Draw the schematic of the converter to be used.

b$)$ Find the minimum values of inductor $L$ and capacitor $C.$

c$)$ Suggest a solution to produce a positive voltage with respect to the common ground.