## Transcribed Text

Problem 1.
In the following circuit, the capacitor was not charged before switching. Find vC(t) for t > 0.
Note that the circuit can be reduced to basic RLC.
14
6
2
4 A
14 V
2 H
0.02 F
t 0
C
v !
1
Problem 2.
The switch is flipped open at t = 0 in the following circuit. Find io(t) for t > 0 by using
Laplace transform. Algebra hint: get rid of denominators in equations early.
5
5
2 A
5 H 0.2 F
o
i
t 0
2
Problem 3.
The transfer function of a system is H(jω) = jω
(1000+jω)(100+jω)
. Identify its break points, and
sketch the straight line phase Bode plot. Indicate the slope of each straight line piece.
3
Problem 4.
Determine what kind of filter the following circuit is, and find its cutoff frequency (or frequencies). In the circuit, R1 = 1 kΩ, R2 = 2 kΩ, C1 = 10 µF, and C2 = 1 µF.
R3
R1
!
C2
C1
R2
Vs Vo
4
Problem 5.
Determine only the hybrid parameters h11 and h21 of the following network.
5 10 j6 -j2
j2
j4
V1
! !
V2
5
Problem 6.
Find the output signal vo(t) in the following circuit with the given periodic source. Consider the following trig-identities: sin α sin β =
1
2
[− cos(α + β) + cos(α − β)], cos α cos β =
1
2
[cos(α + β) + cos(α − β)], and sin α cos β =
1
2
[sin(α + β) + sin(α − β)].
t
cos 0.5 t
S S
v t
s
3S 3S
4
0

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