Homework 1, Problem 1
Let the elements of the vector correspond to the x, y, and z components
H
1
0
0
⎛
⎜
⎜
⎝
⎞
⎟
⎟
⎠
:=
Now
Point1
1
1
1
⎛
⎜
⎜
⎝
⎞
⎟
⎟
⎠
:=
Point2
2
5
1
−
⎛
⎜
⎜
⎝
⎞
⎟
⎟
⎠
:=
Since the H-field is constant
Point1
Point2
l
H
⌠
⎮
⌡
d
H
Point2
Point1
−
(
)
⋅
=
Thus the MMF drop is given by
H
T
Point2
Point1
−
(
)
⋅
1
=
Point1
Point2
l
H
⌠
⎮
⌡
d
H
Point2
Point1
−
(
)
⋅
=
Problem 2
Current in wire
i
100
:=
The tangental H (in the CCW direction) can be found using Amper's law.
In particular
H
tan
r
( )
i
2
π
⋅
r
⋅
:=
where r is the distance from the origin
Resolving the H field into x- and y- componnets
H x y
,
(
)
i
2
π
⋅
x
2
y
2
+
⋅
y
−
x
2
y
2
+
x
x
2
y
2
+
⎛
⎜
⎜
⎜
⎜
⎜
⎝
⎞
⎟
⎟
⎟
⎟
⎟
⎠
⋅
:=

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