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Practice Problem

Find the value of duty cycle α for a periodic waveform applied to a 100Ω resistor to yield 50W average power. This practice problem involves a buck-boost converter. Calculate the required parameters using the given hints to solve the problem effectively.

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Practice Problem

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  1. Practice Problem The periodic waveform shown is applied to a 100Ω resistor. What value of αyields 50W average power to the resistor? α is the “duty cycle”

  2. i i in d + – V V i i L C in out C L – + I out Practice Problem

  3. i i in d + ! – V V i i L C in out C L – + I out Practice Problem Hint #1: This is a buck-boost converter Hint #2: Pin = Pout Pin = DVin IL = VinIin Pout = Vout Iout Hint #3: IC = 0 Iout = (1-D)IL iin IL Vin DT t Since the input voltage is constant only the dc component of iin contributes to Pin

  4. Practice Problem

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