3. a) Given the circuit shown below in figure P3, compute the capacitor voltage, vc(t), for t≥ 0 utilizing the generalized equation presented in lecture. Assume the "make-before-break" switch shown in figure P3 is ideal and makes the transition from position A to position B in zero time. The current and voltage conventions shown must be used in the analysis to receive any credit. b) Use your answer to part 3(a) above and the relationship between the capacitor voltage, vc(t), and the capacitor current, ic(t), shown below in equation P3 to compute ic(t) for t≥0. = Equation P3: ic(t) C dvc(t) dt A B t = 0 == V₁(t) R₁ = 20[k] + [i,(t) V2(t) VS1 = 100[V] + Vs2=200[V] C + + R₂ = 20[k2] i2(t) V3(t) = vc(t) + ↓ iz(t) R3 = 20[k≤2] Figure P3 |↓ic(t) vc(t): C = 1[μF]

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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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3. a) Given the circuit shown below in figure P3, compute the capacitor voltage, vc(t), for t≥ 0 utilizing the
generalized equation presented in lecture. Assume the "make-before-break" switch shown in figure P3 is
ideal and makes the transition from position A to position B in zero time. The current and voltage
conventions shown must be used in the analysis to receive any credit.
b) Use your answer to part 3(a) above and the relationship between the capacitor voltage, vc(t), and the
capacitor current, ic(t), shown below in equation P3 to compute ic(t) for t≥0.
=
Equation P3: ic(t) C
dvc(t)
dt
A
B
t = 0
==
V₁(t) R₁ = 20[k]
+
[i,(t)
V2(t)
VS1 = 100[V]
+
Vs2=200[V]
C
+
+
R₂ = 20[k2]
i2(t)
V3(t) = vc(t)
+
↓
iz(t)
R3 = 20[k≤2]
Figure P3
|↓ic(t)
vc(t):
C = 1[μF]
Transcribed Image Text:3. a) Given the circuit shown below in figure P3, compute the capacitor voltage, vc(t), for t≥ 0 utilizing the generalized equation presented in lecture. Assume the "make-before-break" switch shown in figure P3 is ideal and makes the transition from position A to position B in zero time. The current and voltage conventions shown must be used in the analysis to receive any credit. b) Use your answer to part 3(a) above and the relationship between the capacitor voltage, vc(t), and the capacitor current, ic(t), shown below in equation P3 to compute ic(t) for t≥0. = Equation P3: ic(t) C dvc(t) dt A B t = 0 == V₁(t) R₁ = 20[k] + [i,(t) V2(t) VS1 = 100[V] + Vs2=200[V] C + + R₂ = 20[k2] i2(t) V3(t) = vc(t) + ↓ iz(t) R3 = 20[k≤2] Figure P3 |↓ic(t) vc(t): C = 1[μF]
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