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2.9 To reduce the switching harmonics present in the input current of a certain buck converter, an input filter consisting of inductor Li and capacitor Ci is added as shown in Fig. 2.32. Such filters are commonly used to meet regulations limiting conducted electromagnetic interference (EMI). For this problem, you may assume that all inductance and capacitance values are sufficiently large, such that all ripple magni- tudes are small CI Fig. 2.32 Addition of L-C input filter to buck converter, Problem 2.9. (a) Sketch the transistor current waveform i7(t) (b)Derive analytical expressions for the dc components of the capacitor voltages and inductor cur- (c)Derive analytical expressions for the peak ripple magnitudes of the input filter inductor current (d) Given the following values: rents and capacitor voltage Input voltage Output voltage Switching frequency Load resistance v, = 48 V V 36 V f 100 kHz Select values for L, and C1 such that (i) the peak voltage ripple on C1, Avci. is two percent of the de component VC1, and (ii) the input peak current ripple Δή is 20mA

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Due to HOMEWORKLIB RULES i dont have sufficent knowledge about (C) bit

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