ECE321
Exam III
Fall, 2009
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Work problems and provide answers in space provided - do not unstaple pages
No calculators
1-page crib allowed (to be submitted with exam).
Possibly (not necessarily) useful identities
x
y
±
(
)
cos
x
cos
y
cos
x
sin
y
sin
+
−
=
x
y
±
(
)
sin
x
sin
y
cos
x
cos
y
sin
±
=
x
cos
y
cos
1
2
--
x
y
+
(
)
cos
x
y
–
(
)
cos
+
[
]
=
x
sin
y
sin
1
2
--
x
y
–
(
)
cos
x
y
+
(
)
cos
–
[
]
=
x
sin
y
cos
1
2
--
x
y
+
(
)
sin
x
y
–
(
)
sin
+
[
]
=
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1.
Consider the following dc motor drive system
. Plot
,
, and
and indicate average values in
space provided.
(b) Evaluate
.
v
a
i
D
2
i
S
ω
r
+
−
i
i
S
v
a
i
D
2
+
−
+
−
a
i
D
1
i
S
1
i
S
2
10 V
0.2
Ω
1
mH
0.1
i
a
v
a
i
D
2
i
S
I
1
0
=
0.6
T
0
I
2
5 A
=
T
τ
a
«
I
a
________ A
=
V
a
________ V
=
I
S
________ A
=
I
D
2
________ A
=
T
ω
r
(20)
[O iv-v]