Environmental Engineering Reference
In-Depth Information
Fig. 3.21 Simple scheme of a Bitter magnet
represents the diameter of the wire, then the change of the electric current
can be de
If
ʴ
ned by using the following proportion:
I
da dz
0
d
2
I
N
1
L
N
2
a
2
L
d
L
ð
a
2
a
1
Þ
da dz
0
¼
da dz
0
¼
dI
¼
I
ð
3
:
84
Þ
ð
a
1
Þ
d
a
2
ð
a
1
Þ
where N
1
denotes the number of turns of the electric wires with respect to the length
of the solenoid L, and the N
2
represents the number of turns of the electric wire with
respect to the width of the solenoid in the range from a
1
to a
2
.
L
d
;
a
2
a
1
N
1
¼
N
2
¼
ð
3
:
85
Þ
d
The change of the magnetic
fl
ux density can now be expressed as:
l
0
a
2
I
d
2
da dz
0
2
dB
¼
ð
3
:
86
Þ
2
2 a
2
þ
ð
z
0
Þ
z
It follows:
L
2
Z
a
2
Z
l
0
a
2
I
d
2
dz
0
da
2
Ba
ðÞ¼
;
z
ð
3
:
87
Þ
2
2 a
2
þ
z
z
0
ð
Þ
a
1
L
2
2
4
3
5
q
L
2
4
3
5
2
ln
a
2
a
2
þ
2
z
þ
L
2
q
L
z
2
a
1
a
1
þ
2
z
þ
l
0
I
2
d
2
Ba
ðÞ¼
;
z
2
4
3
5
ð
3
:
88
Þ
q
L
2
ln
a
2
a
2
þ
2
þ
z
þ
L
2
þ
þ
q
L
z
2
a
1
a
1
þ
2
þ
z
þ
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