A boost converter is shown in Figure Q2a. The input voltage is V,the switching frequency used for the switch Q1 is 50 kHZ, and the resistance is R = 2

0. The average output DO voltage is required to be 36 V,the peak-to-peak output ripple voltage is expected to be less than 0.15 V,and the peak-to-peak inductor ripple current is required to be less than0.1 A. Determine the duty cycle, the filter inductance L and capacitance Cto meet the design requirements.(i)12 V, (ii)Suppose an additional resistor R, = 0.01 N exits in the boost converter shown in Figure Q2b. The input voltage is V, = 12 V, the switching frequency used for the switch Q1 is 50 kHZ, and the resistance is R = 2 .The average output DC voltage is required to be 36 V. Draw waveform of the inductor voltage and capacitor current, and calculate the average inductor current and the power efficiency of the converter. (b). An electric dryer is connected to the supply via an on-off AC-AC voltage controller. The switches in the AC-AC controller are turned on for 20 cycles and then are turned off for 20 cycles periodically. Calculate the duty cycle and input power factor. Suppose in this case, the dryer consumes 2 kW power. Can the supply with the AC-AC controller provide 4.5kW power to the electric dryer?Explain the reason.