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# hw1 - ECE433 Homework 1 Due February 9 2011 1 Given the...

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ECE433, Homework 1 Due: February 9, 2011 1) Given the following waveform: Express f(t) as a Fourier Series. Then use MATLAB to construct the signal from the Fourier Series you derived to verify your result. a) For the waveform shown, by providing enough justification, circle the following statements that are true: i) f(t) can represent a voltage across an inductor ii) f(t) can represent a current through an inductor iii) f(t) can represent a current through a capacitor iv) f(t) can represent a voltage across a capacitor 2) In the converter of Fig. 1, the switches operate synchronously, each is in position 1 for 0g3409g1872g3409 g1830g1846 g3046 , and in position 2 for g1830g1846 g3046 g3409g1872g3409g1846 g3046 . Derive an expression for the voltage conversion ratio g1839g4666g1830g4667g3404g1848/g1848 g3034 . Sketch M(D) vs. D and compare with that of a buck converter. Fig. 1 3) The converter of Fig. 2 operates with an input voltage g1848 g3036g3041 g340410g1848 . The output voltage is g1848 g3042g3048g3047 g340424g1848 and the switching frequency is g1858 g3046g3050 g3404250g1863g1834g1878 . All elements are ideal, and the converter operates in steady state.

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hw1 - ECE433 Homework 1 Due February 9 2011 1 Given the...

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