# Inductance and Force Calculations in Electrical Circuits

Nova Publishers, 2001 - Technology & Engineering - 134 pages
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

### Popular passages

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.