9SolutionD=(V。-Va)N。=0.583, f=200kHz ,V.-12V=V=5VVAT=5μs and Ton=DT,=2.917μsV,fluctuates between Vin=5VVL=5Vand -(V。-Vin)=-7V.-V)--7VAi,=2ALrppi511/DTx2.917=7.29uH23.0AAitL10Ai =I +irppligiodel3.0A1(-1)=0.833A10AIadiode= I。=(1- D),2.167Aict0.167A= (1-0.583)×2 = 0.834(A)0.833.A
1 7 s L 2 DT = 5 2.917 = 7.29 H i L = Vin + iL ,rippl e iL = IL Solution D=(Vo-Vd )/Vo=0.583 , fs=200kHz , Ts= 5μs and Ton =DTs =2.917μs . vL fluctuates between Vin =5V and −( Vo − Vin )=−7 V. Idiode = Io = (1− D)Iin = (1− 0.583)2 = 0.834( A )
Solution9When the transistor is onV.-12V=5VVVthe idiode = 0,ViSVic(t) =idiode - I。= -I。= -0.834A(V.-V)--7VAi, =2A14rpple3.0Ai1OAiaode3.0A1(-1)=0.833AOAThe capacitor current jumps to2.167Aict0.167Aa value of 2.167 A and drops to0.833.A(1-0.833 ) =0.167A.Figure3-9Example3-4
18 When the transistor is on, the idiode = 0, − Io = −I iC (t) = idiode o = −0.834A The capacitor current jumps to a value of 2.167 A and drops to （1− 0.833 ）= 0.167 A. Solution