Question 1. Sketch the waveform of the inductor voltage vL[t]. Employ the small ripple approximation to derive an expression for the dc component of the inductor voltage, as a function of the duty cycle D and the dc capacitor voltage V and source voltage Vg. Enter your expression below. [14 points] Question 2. Sketch the waveform of the capacitor current iC[t]. Employ the small ripple approximation to derive an expression for the dc component of the capacitor current, as a function of the duty cycle D, the dc inductor current IL, the output voltage V, and the load resistance R. Enter your expression below. [14 points] Question 3. Using your results above, derive an expression for the dc output voltage V, as a function of the input voltage \"Hg and the duty cycle D. Enter your expression below. [14 points] Question 4. Using your results above, derive an expression for the dc component of the inductor current IL, as a function of Vg, R, and D. Enter your result below. [13 points] Question 5. Derive an expression for the inductor peak current ripple [denoted "delta i" in the lectures]. Express your result in terms of Vg, D, Ts, and L, and enter the result below. [5 points]