EE321 Exam 1
Spring 2009
Notes
: Write your name and ID on blue book.
This part of exam will be recycled.
You must show work for credit, except for problem 6.
Achieving a score of 60% or above on this exam satisfies ABET Objective 1
and Objective 2.
Good luck !
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1.)
10 pts. Consider a Cartesian coordinate system.
Suppose there exists a uniform Hfield
with a
+10 A/m component in the xdirection, a +20 A/m component in the ydirection,
and a 5 A/m component in the zdirection.
What is the magneto motive force drop
between the starting point (5,2,1)
(x, y, z) and the ending point (4,2,4).
For problems 23, consider the split toroid shown below.
The cross section of the toroid is
rectangular.
2.)
15 pts.
The permeability of the magnetic material in the split toroid may be expressed
0
5000
(
)
1


B
B
B
μ
μ
=
+
where
0
μ
is the permeability of free space,
7
10
4

π
H/m.
Now suppose
1
g
=
mm,
10
r
=
cm,
1
w
=
cm,
2
d
=
cm,
1
100
N
=
,
2
20
N
=
, and
1
5
i
=
A.
If the flux linking the
second winding is
2
λ
=
0.004 Vs, what is the current
2
i
?.
Hint
200
100
2
<
<
i
.
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 Spring '08
 Staff
 Magnetism, Magnetic Field, blue book, flux linkage equations, variable reluctance stepper

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