The network in Figure 1.44 has been at rest for a long period of time with the switch S1 opened. At time t = 0, Sı is closed as indicated on the schematic. Using the values shown, you are asked to do the following (a) calculate values for the voltage V1(t) at t = 0* and t = 0 (i.e., V1(0*) and V1(∞)), and the network time constant t in seconds, (b) apply these values to generate and write fully the complete time-domain expression for V1(t) found from the solution to the network describing equation, and (c) solve for the time ti at which V1(t) is zero volts; that is, ti for which V1(tı) = 0V R, R3 C2 60nF + 6KN Eg1 t = 0 10V R, C, C3 C4 V,(t) 2KΩ 20nF 80NF 40nF g2 6V Figure 1.44 First-order RC network
The network in Figure 1.44 has been at rest for a long period of time with the switch S1 opened. At time t = 0, Sı is closed as indicated on the schematic. Using the values shown, you are asked to do the following (a) calculate values for the voltage V1(t) at t = 0* and t = 0 (i.e., V1(0*) and V1(∞)), and the network time constant t in seconds, (b) apply these values to generate and write fully the complete time-domain expression for V1(t) found from the solution to the network describing equation, and (c) solve for the time ti at which V1(t) is zero volts; that is, ti for which V1(tı) = 0V R, R3 C2 60nF + 6KN Eg1 t = 0 10V R, C, C3 C4 V,(t) 2KΩ 20nF 80NF 40nF g2 6V Figure 1.44 First-order RC network
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Transcribed Image Text:The network in Figure 1.44 has been at rest for a long period of time with the switch S1
opened. At time t = 0, Sı is closed as indicated on the schematic. Using the values
shown, you are asked to do the following
calculate values for the voltage Vi(t) at t =0* and t = 0 (i.e., V1(0*) and V1(0)),
(a)
and the network time constant t in seconds,
(b) apply these values to generate and write fully the complete time-domain expression
for V1(t) found from the solution to the network describing equation, and
solve for the time ti at which Vi(t) is zero volts; that is, tị for which V1(t1) = 0V
(c)
R,
R3
C2 r 60nF
6ΚΩ
+
2.5KN
Eg1
t = 0
10V
R,
S,
CA
C,
C3
V,(t)
2ΚΩ
20nF
80nF
40nF
E,
g2
6V
Figure 1.44
First-order RC network
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