Buck Boost Converter Design Answers with Proof Given Data Input Voltage Vg 12 V Output Voltage V 5 V Load Resistance R 2 5 Switching Frequency fs 200 kHz Ideal components Small ripple approximation Table of Calculated Values Question Formula Calculation Answer L Vg D IL fs 1 V L 120 2941 0 425200e3 1 4167 20 75 H C 2 8330 2941 200e30 025 58 2 F Parameter Duty Cycle D DC Inductor Current IL Inductance L for 15 ripple D IL Vg IL 0 15 IL 0 425 A V V Capacitance C for 25 mV ripple V 25 mV C ILD fs V MOSFET current peak iQ1 peak MOSFET voltage peak vQ1 peak MOSFET DC voltage VQ1 DC iQ1 peak IL IL 2 2 833 0 2125 3 258 A vQ1 peak Vg V VQ1 DC D Vg 0 705912 12 V Q7 Q8 Q9 Q10 Q11 Q12 Q13 Proofs Notes Duty cycle derived from the basic buck boost formula DC inductor current adjusted for the average current through the switch Inductor calculated using ripple specification and small ripple approximation Capacitor derived from peak voltage ripple formula MOSFET current peak DC inductor current half ripple MOSFET voltage peak input output voltage magnitude MOSFET DC voltage duty cycle weighted input voltage All calculations are consistent with the given design parameters and small ripple approximation 1