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 0 g G g ±² ³ , and in position 2 for ±² ³ g G g ² ³ . Derive an expression for the voltage conversion ratio ´µ±¶ · ¸/¸ ¹ . 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 ¸ º» · 10¸ . The output voltage is ¸ ¼½¾ · 24¸ and the switching frequency is ¿ ³À · 250ÁÂà . All elements are ideal, and the
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This note was uploaded on 03/25/2011 for the course ECE 433 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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

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