(1) Consider the system below (it is repeated on the next page). For t < 0, the switch is closed. At t = 0, the switch is opened and it remains open. At time t = 0, just before the switch was opened, the system was not in steady state, but it is given that vc(0) = 1V and i, (0¹) = 2A. (a) What is the energy in the capacitor at time t = 0+, (right after the switch is opened)? (b) Find the expression for the inductor voltage VL(t), for t > 0. (c) At time t = 1000, the switch is closed again. Find the capacitor voltage vc and the inductor current i, at time t = ∞0. 1 A ↑ 1Ω VL(t) in V = 1Ω + t = 0 X₂ VL 1mH iL - 2025 Vc 4μF 252 Vc İL 4V

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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(1) Consider the system below (it is repeated on the next page). For t < 0, the switch is closed.
At t = 0, the switch is opened and it remains open. At time t = 0, just before the switch was
opened, the system was not in steady state, but it is given that vc(0) = 1V and i, (0¹) = 2A.
(a) What is the energy in the capacitor at time t = 0+, (right after the
switch is opened)?
(b) Find the expression for
the inductor voltage
VL(t), for t > 0.
(c) At time t = 1000, the switch is closed again. Find the
capacitor voltage vc and the inductor current i, at time
t = ∞0.
1 A ↑
1Ω
www
v₁(t) in V =
1Ω
+
ਸ
VL 1mH 2025
-
iL
t = 0
X₂
Vc
4µF
252
www
Vc
İL
4V
Transcribed Image Text:(1) Consider the system below (it is repeated on the next page). For t < 0, the switch is closed. At t = 0, the switch is opened and it remains open. At time t = 0, just before the switch was opened, the system was not in steady state, but it is given that vc(0) = 1V and i, (0¹) = 2A. (a) What is the energy in the capacitor at time t = 0+, (right after the switch is opened)? (b) Find the expression for the inductor voltage VL(t), for t > 0. (c) At time t = 1000, the switch is closed again. Find the capacitor voltage vc and the inductor current i, at time t = ∞0. 1 A ↑ 1Ω www v₁(t) in V = 1Ω + ਸ VL 1mH 2025 - iL t = 0 X₂ Vc 4µF 252 www Vc İL 4V
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