HW4 -...

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Unformatted text preview: Applied
Electronics
2010
Problem
Set
4
(issued
on
April
7)
 
 Policies:
Submit
your
solution
to
the
TA
in
the
classroom
before
starting
the
 April
14
class.
If
you
submit
your
solution
after
the
due
time,
50%
will
be
deducted
 from
your
grade
and
any
excuses
will
NOT
be
allowed
for
the
delay.
Cheating
on
the
 homework
will
result
in
ZERO
grades
for
everyone
involved.
Discussions
on
the
 problems
are,
of
course,
allowed.
However,
in
that
case,
you
MUST
identify
the
names
 and
their
ID
numbers
in
your
solution
cover
page.

 
 Problem
1
 When
the
OP
amp
is
ideal,
calculate
the
following:
 (a)
va
 
 (b)
vo
 
 (c)
ia
 
 (d)
io
 
 
 Problem
2
 Assume
that
the
ideal
OP
amp
in
the
circuit
below
is
operating
in
its
linear
region.
 
 
 
 (a) Calculate
the
power
delivered
to
the
12
kΩ
load
resistor.
 (b) Repeat
part
(a)
when
the
OP
amp
removed
(that
is,
when
the
nodes
a
and
b
 are
directly
connected).
 (c) Find
the
ratio
of
the
power
found
in
part
(a)
to
that
found
in
part
(b).
 (d) Does
the
insertion
of
the
OP
amp
between
the
source
and
the
load
serve
a
 useful
purpose?
Explain.
 Problem
3
 The
voltage
signal
Vg
is
applied
to
the
ideal
integrator
as
shown
below.
Derive
the
 numerical
expressions
for
vo(t)
for
each
time
interval
((a)
to
(d))
when
vo(0)=0.
Also,
 sketch
the
output
voltage
vo(t)
from
t=0

to
t=750
ms.
 (a)
t<0;
 (b)
0
≤
t
≤
250
ms;
 (c)
250
ms
≤
t
≤
500
ms;
 (d)
500
ms
≤
t
≤
∞
 


 
 
 
 Problem
4
 Problem
8.56
of
Rizzoni
book
(5th
edition).
 
 
 
 Problem
5
 Problem
8.86
of
Rizzoni
book
(5th
edition).
 
 
 
 
 
 
 
 
 
 
 
 
 
 Problem
6
 By
using
ideal
OP
amps
and
RC
circuits,
one
can
build
an
analog
computer
that
can
 solve
a
differential
equation
as
shown
below.
 "v i ! R R R! !" #" R R ! ! R1 !" !" #" C R ! ! #" C !" #" ! ! ! vo R ! R2 ! R ! !" #" ! ! (a) Obtain
the
differential
equation
for
the
output
voltage
vo.
Note
that
the
input
 voltage
is
–vi
in
this
problem.

 (b) In
part
(a),
you
will
find
that
the
obtained
equation
resembles
the
typical
 spring‐mass‐damper
equation,
 m˙˙ + cx + kx = f .
When
you
adjust
the
R1
 x˙ value,
do
you
change
the
equivalent
damping
coefficient
c
or
spring
 coefficient
k?
 (c) Continuing
part
(b),
when
you
adjust
R2
value,
do
you
change
the
equivalent
 € damping
coefficient
c
or
spring
coefficient
k?
 (d) What
might
be
the
potential
problems
in
accuracy
when
using
this
“analog”
 computer
to
solve
the
differential
equation?
 
 ...
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This note was uploaded on 11/21/2010 for the course MECHANICAL mae302 taught by Professor Jang during the Spring '10 term at Seoul National.

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