Inductance and Force Calculations in Electrical Circuits

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Nova Publishers, 2001 - Technology & Engineering - 134 pages
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This book deals with the two fundamental subjects of electromagnetism. It is a useful text for courses in electromagnetism, electrical circuits, mathematical methods of physics, and the history and philosophy of science. It covers how to calculate force between two current carrying circuits, and net force on a part of a closed circuit. The calculation of the mutual inductance between two circuits and self-inductance of a single closed circuit is also described. Experiments explain the main expressions of Ampere and Grassmann. A must to help deepen the knowledge of the mind of any student of science.
 

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Contents

Inductance Coefficients
3
12 Current Element
4
13 Neumanns Inductance
6
14 Webers Inductance
8
142 Webers Energy Between Current Elements
9
143 Webers Expression
10
15 Maxwells Inductance
11
152 Maxwells Energy Between Current Elements
12
52 Grassmanns Force
55
522 Grassmanns Force Between Current Elements
57
53 Partial Equivalence
59
54 Description of the Method
63
Force in Several Geometries
65
612 Orthogonal Wires
67
613 Rectangular Circuit
68
62 Surface Element
73

16 Graneaus Inductance
14
17 Equivalence of the Mutual Inductances
15
SelfInductance
17
22 Method for Calculating Inductances
18
23 Comparison with Known Results
20
232 Cylinder with Axial Current
23
233 Coaxial Cable
24
Inductance in Several Geometries
29
312 Straight and Orthogonal Conductors
30
32 Surface Element
32
322 Rectangular Surfaces in Contact
33
323 Rectangular Circuit
34
33 Volumetric Element
36
332 Rectangular Circuit
39
Complete Equivalence
41
42 Proof of Equivalence
44
Force Between Current Elements
51
511 Webers Force
52
622 Rectangular Circuit II
77
623 Rectangular Circuit III
79
Grassmanns Force
81
63 Volumetric Element
84
632 Discussion
88
64 Solenoid with Poloidal Current
90
Complete Equivalence
93
72 Proofs of Equivalence
96
Final Discussion
103
82 Relation Between Inductance and Force
105
83 Longitudinal force
107
Conclusions
117
Approximation Method for Integrals
119
Example of the Method
123
Bibliography
125
Index
135
Copyright

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Page x - , 2 dr 527.] Of these four different assumptions that of Ampere is undoubtedly the best, since it is the only one which makes the forces on the two elements not only equal and opposite but in the straight line which joins them.
Page 132 - W. Weber. On the measurement of electro-dynamic forces. In R. Taylor, editor, Scientific Memoirs, vol. 5, pages 489-529, New York, 1966. Johnson Reprint Corporation.
Page 132 - JP Wesley. Weber electrodynamics, Part I. General theory, steady current effects. Foundations of Physics Letters, 3:443-469, 1990.
Page vii - To the Institutes of Physics and Mathematics of the State University of Campinas - UNICAMP which gave us the necessary conditions to undertake this work.
Page 132 - JP Wesley. Selected Topics in Advanced Fundamental Physics. Benjamin Wesley Publisher, Blumberg, 1991.

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