1 kQ www 2 ΚΩ www µF 1.5 µF i(t) ( 1 kΩ (0.5 NEXXIS HEL+VO ⒸV (1) [0.5 μFX1.5 µF 3) Consider the circuit above. You should realize that the "bridge" of capacitors can be replaced by a single capacitor. a) What is the value of the single equivalent capacitor? b) Consider operation with i(t) = 0 and vi(t) = 0 for t≥ 0. The voltage vo(t) is known to be 1 volt at a time t = 0. Determine vo(t) for all t > 0. c) A different constraint is that sources i(t) and vi(t) are zero for t < 0 and that vo(0) = 0. Sources i(t) and vi(t) undergo step transitions of +1 mA and +1 volt, respectively, at time t

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1 ΚΩ
wwww
10.5 μFX1.5 μF!+
µF
+
if(t)
1 kΩ
Ⓒv₂(t)
0.5 μF 1.5 µF
3) Consider the circuit above. You should realize that the "bridge" of capacitors can be
replaced by a single capacitor.
a) What is the value of the single equivalent capacitor?
b) Consider operation with i(t) = 0 and vi(t) = 0 for t≥ 0. The voltage vo(t) is known to be 1
volt at a time t = 0. Determine vo(t) for all t > 0.
c) A different constraint is that sources i(t) and vi(t) are zero for t < 0 and that vo(0) = 0.
Sources i(t) and vi(t) undergo step transitions of +1 mA and +1 volt, respectively, at time
= 0. Determine vo(t) for all time.
2 ΚΩ
NO
Transcribed Image Text:1 ΚΩ wwww 10.5 μFX1.5 μF!+ µF + if(t) 1 kΩ Ⓒv₂(t) 0.5 μF 1.5 µF 3) Consider the circuit above. You should realize that the "bridge" of capacitors can be replaced by a single capacitor. a) What is the value of the single equivalent capacitor? b) Consider operation with i(t) = 0 and vi(t) = 0 for t≥ 0. The voltage vo(t) is known to be 1 volt at a time t = 0. Determine vo(t) for all t > 0. c) A different constraint is that sources i(t) and vi(t) are zero for t < 0 and that vo(0) = 0. Sources i(t) and vi(t) undergo step transitions of +1 mA and +1 volt, respectively, at time = 0. Determine vo(t) for all time. 2 ΚΩ NO
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