The circuit below is a boost converter that is used for charging of an ultra-capacitore. The capacitor voltage at t-0 is zero. The switch has been closed for a very long time and opens at t=0. Subsequently, the switch closes at t=1[sec], opens at t-2[sec] and remains open. Assuming R1 = 102, L=1H, R2=52, C=0.02F, and vin (t) = 20u(t + 10)[V], compute: R2 R www www C Vc V in (a) i(0-) (b) Vc(s) and vc(t) for 0

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The circuit below is a boost converter that is used for charging of an ultra-capacitore. The
capacitor voltage at t=0 is zero. The switch has been closed for a very long time and opens
at t=0. Subsequently, the switch closes at t=1[sec], opens at t-2[sec] and remains open.
Assuming R, = 102, L=1H, R2=52, C=0.02F, and vin (t) = 20u (t + 10)[V], compute:
R.
L
R2
www
www
+
V in
c = v.
C
(a) i (0-)
(b) Vc(s) and vc(t) for 0 <t < 1, specify vc(1).
Transcribed Image Text:The circuit below is a boost converter that is used for charging of an ultra-capacitore. The capacitor voltage at t=0 is zero. The switch has been closed for a very long time and opens at t=0. Subsequently, the switch closes at t=1[sec], opens at t-2[sec] and remains open. Assuming R, = 102, L=1H, R2=52, C=0.02F, and vin (t) = 20u (t + 10)[V], compute: R. L R2 www www + V in c = v. C (a) i (0-) (b) Vc(s) and vc(t) for 0 <t < 1, specify vc(1).
(c) Is it necessary to know i,(1-) to compute i¿(2-)? Explain your answer.
(d) What is the value of vc(2-)?
(e) Compute Vc(s) and vc(t) for 2 < t.
Transcribed Image Text:(c) Is it necessary to know i,(1-) to compute i¿(2-)? Explain your answer. (d) What is the value of vc(2-)? (e) Compute Vc(s) and vc(t) for 2 < t.
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