2. Using Laplace Transform, determine the capacitor voltage v(t) after the switch opens. Assume that the circuit is at steady-state before the switch opens at t=0. 9Ω t = 0 3Ω i(t) Į v (t) 0.5 F 16 V 1H

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2. Using Laplace Transform, determine the capacitor voltage v(t) after the
switch opens. Assume that the circuit is at steady-state before the switch
opens at t=0.
9Ω
t = 0
3Ω
i(t) |
0.5 F = v (t)
16 V
1 H
Hint: Determine the initial conditions of the circuit and convert it to frequency domain. Solve for what is ask
in the problem and once done. Convert it back to time domain. The following are the conversion of elements
from time domain (a) to frequency domain (b or c).
RESISTORS
INDUCTORS
生 卡中
I(s)
| Is)
Ls
v(t)
R
V(s)
R
i(0)
vlt)
V(s)
Ls
Vs)
Li(0)
(b)
(a)
(b)
(c)
САРАCITORS
| Is)
T Cs
V(s)
Vls) (1) Cu(0)
v(0)
(a)
(b)
(c)
Transcribed Image Text:2. Using Laplace Transform, determine the capacitor voltage v(t) after the switch opens. Assume that the circuit is at steady-state before the switch opens at t=0. 9Ω t = 0 3Ω i(t) | 0.5 F = v (t) 16 V 1 H Hint: Determine the initial conditions of the circuit and convert it to frequency domain. Solve for what is ask in the problem and once done. Convert it back to time domain. The following are the conversion of elements from time domain (a) to frequency domain (b or c). RESISTORS INDUCTORS 生 卡中 I(s) | Is) Ls v(t) R V(s) R i(0) vlt) V(s) Ls Vs) Li(0) (b) (a) (b) (c) САРАCITORS | Is) T Cs V(s) Vls) (1) Cu(0) v(0) (a) (b) (c)
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