TCLOSE-0 R1 S1 1k Fig. 4.5 S2 V1 5 V 1uF 0 For the circuit shown in Fig. 4.5, switch S1 has been open (open circuit) for a long time and switch S2 has been closed (short circuit) for a long time. Then at time t= 0 seconds, S1 closes and S2 opens Determine the voltage vd) across the capacitor for t just before zero (t = 0-), t an instant after zero ( 0+), and as t goes to infinity. Also specify the time constant (t), and give the mathematical expression for Vc(t) for t2 0 seconds. Recall: Vol) = ve(-) + {ve(O)-ve(m))-exp(-t / (RC) ) vc(0-) Vc00) Time Constant Vc(t) for t>0

29 5 - TCLOSE-0 R1 S1 1k Fig. 4.5 S2 V1 5 V 1uF 0 For the circuit shown in Fig. 4.5, switch S1 has been open (open circuit) for a long time and switch S2 has been closed (short circuit) for a long time. Then at time t= 0 seconds, S1 closes and S2 opens Determine the voltage vd) across the capacitor for t just before zero (t = 0-), t an instant after zero ( 0+), and as t goes to infinity. Also specify the time constant (t), and give the mathematical expression for Vc(t) for t2 0 seconds. Recall: Vol) = ve(-) + {ve(O)-ve(m))-exp(-t / (RC) ) vc(0-) Vc00) Time Constant Vc(t) for t>0

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images - TCLOSE-0 R1 S1 1k Fig. 4.5 S2 V1 5 V 1uF 0 For the circuit shown in Fig. 4.5, switch S1 has been open (open circuit) for a long time and switch S2 has been closed (short circuit) for a long time. Then at time t= 0 seconds, S1 closes and S2 opens Determine the voltage vd) across the capacitor for t just before zero (t = 0-), t an instant after zero ( 0+), and as t goes to infinity. Also specify the time constant (t), and give the mathematical expression for Vc(t) for t2 0 seconds. Recall: Vol) = ve(-) + {ve(O)-ve(m))-exp(-t / (RC) ) vc(0-) Vc00) Time Constant Vc(t) for t>0

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