A Buck converter has the following parameters and is operating in CCM:

Vin = 12V, Vout =1.8V, Lo=530nH, Co= 970 uF, ESR (Co)=5 mohm, switching frequency = 600KHz, Io = 12A.

Calculate :

(1)The steady state duty cycle D

(2) Calculate the small signal gain of Vout(t)/dt DC in dB

(3) Calculate the complex poles and zero frequencies of the power stage

(4) Draw the Bode Plot of Vout(t)/dt from 1Hz to 10MHz with gain and phase

(5) How to select the crossover frequency for the closed loop

(6) Draw the Bode Plot of Vc(t)/Vout(t) from 1Hz to 10MHz with gain and phase.