1
ECE 313 (Fall 2009) Homework #4
(Due: October 7, 2009, Wednesday, in class)
Reading Assignment Reminder:
Sections 4.1 – 4.6
Problems:
1)
(10 pts) For the following diagram, find the transfer function,
)
(
)
(
)
(
s
F
s
V
s
G
, where
)
(
s
V
represents the velocity of the mass.
Furthermore, find the time constant of the system
)
(
s
G
, evaluate the rise time of the system under a step input, and evaluate the DC gain of
the system.
2) (10 pts) For the following circuit, find the transfer function from the input voltage
)
(
s
V
to
the inductor current
)
(
s
I
L
:
)
(
)
(
)
(
s
V
s
I
s
G
L
. Furthermore, find the natural frequency
n

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