Problem 2 (30 points)
For the network shown below use Laplace’s transformation to find V0(t), t>0 using loop
equations.
A
A
3s
30 It
11
Et
ED
Vo
Ie
5 2
3 Iz
5
25
2
5
25
2
Iz
Iz
sa
Vo
Iz 1
2 Ste
52 2512
stiff
VA O
Vat 2 5 2h2
2551 2 2 1 VA
2551 5 22 VA
y
251
2
z
Nodal analysis
Is
I
s
2ét cost
Jolt
I
Ie
Iz
2
s
s
pj's
t
2
2
step 1
step
1
zetsint
voltage divider
É
5 25 2
Problem 3 (25 points)
Find the transfer function of the circuit below in the Laplace domain and calculate the
time response of the circuit for t>0 when a 2V step function is applied.
11
it
I
I
II
o
I3
I
Node B
if
A
I
Node A
VB O
VAIVB
2
52
s
so
Vo
Vo t
s
VB Vo
vs
Vs
24 t
e 2
Is p
t
Is
s
Bst Bst CSI 2 Cst
As
O
BTC
O
2
At B
13
A
2C
C
3
Fi
2
2te t
Iz
I
Ie
z e
t
VAI
vs VA VA VB t SVA SV
step
V0
Is
KIVA VAIVB
Is
VA VB SVB
Ste VB
Va
VA Ste Vo
When Ss t
Vo
C
2
B 2C
2
St ZIVA
Vs
St 2
Vs
Vs
Sta
Ste
VB
VA
Ste
Vo
S V0
Ste
Vo
Vo
Ste
Vo