Extracted text: Q 4.12: The DC converter is used to control power flow from a DC voltage, V; = 110 V to a battery voltage. E= 220 V. The power transferred to the battery is 30 kW. The current ripple of the inductor is negligible. Determine (a) the duty cycle d, (b) the effective load resistance Reg. and (c) the average input current I. Q 4.13: An RL load is controlled by a converter. If load resistance R= 0.25 2, inductance L = 20 mH, supply voltage V;= 600, battery voltage E = 150 V, and chopping frequencyf= 250 Hz, determine the minimum and maximunm load current, the peak-to-pcak load ripple current, and average load current for d = 0.1 to 0.9 with a step of 0.1. Q 4.14: The step-up converter has R= 102, L=6.5mH. E=5 V. and d= 0.5. Find I. h, and AI. Q 4.15: The buck regulator has an input voltage. V. = 15 V. The required average output voltage V: = 5 V and the peak-to-peak output ripple voltage is 10 mV. The switching frequency is 20 kHz. The peak-to-peak ripple current of inductor is limited to 0.5 A. Determine (a) the duty cycle 3, (b) the filter inductance L, (c) the filter capacitor C, and (d) the critical values of L and C. Q 4.16: The boost regulator has an input voltage, V: = 6 V. The average output voltage, Va = 15 V and average load current, Ia = 0.5 A. The switching frequency is 20 kHz. If L= 250 µH and C = 440 µF, determine (a) the duty cycle d, (b) the ripple current of inductor, AI, (c) the peak current of inductor, IE, (d) the ripple voltage of filter capacitor, AVe, and (e) the critical values of L and C. Q 4.17: The buck-boost regulator has an input voltage, V: = 12 V. The duty cycle 8 = 0.6, and the switching frequency is 25 kHz. For the inductance, L=250 mH and for filter capacitance, C = 220 µF. For the average load current, L = 1.5 A. Determine (a) the average output voltage Va. (b) the peak-to-peak output ripple voltage AVc. (c) the peak-to-peak ripple current of inductor AI, (d) the peak current of the transistor I, and (e) the critical values of L and C. Q 4.18: The Cuk regulator has an input voltage, V: = 15 V. The duty cycle is d = 0.4 and the switching frequency is 25 kHz. The filter inductance is L2 = 350 uH and filter capacitance is C2 = 220 µF. The energy transfer capacitance is C = 400 µF and inductance is L1 = 250 µH. The average load current is Io = 1.25 A. Determine (a) the average output voltage Va. (b) the average input current I. (c) the peak-to-peak ripple current of inductor L1, Alı. (d) the peak-to-peak ripple