Electromagnetic theory, Volume 1

Front Cover
E. Benn, 1925 - Earth - 519 pages

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Contents

The dales viithin brackets are the data of firit publication
1
CHAPTER II
20
Lineintegral of a Force Voltage and Oaussage
26
SECTION PAGE
32
March 271891 1 Classification of Impressed Forces
38
April 17 1891 Connection between Motional Electric Force
44
A Moving Source equivalent to a Convection Current and makes
51
Field
57
Extension of the Theorem of Divergence
190
Vector Product WE or the Curl of a Vector The Theorem of Version and its Extension
191
April 8 1892 Five Examples of the Operation of V in Transforming from Surface to Volume Summations
194
Circuital to Surface Summations
197
Nine Examples of the Differentiating Effects of V
199
May 13 1892 The Potential of a Scalar or Vector The Characteristic Equation of a Potential and its Solution
202
Connections of Potential Curl Divergence and Slope Separa tion of a Vector into Circuital and Divergent Parts A Series of Circuital Vectors
206
May 27 1S92 A Series of Divergent Vectors
209

SECTION PAOE
62
General Nature of Electrified Spherical Electromagnetic Sheet
63
July 17 1891 1 Specialised form of expression of the Con
77
SECTION PAOE
86
The Moving Force on Electrification bodily and superficial
90
Force on Intrinsically Magnetised Matter Difficulty Maxwells
103
Dependence of the Fluxes due to an Impressed Forcive upon
110
Oct 161891 The Eruption of 4 s
116
A Plea for the Removal of the Eruption by the Radical Cure
122
CHAPTER III
132
Abolition of the Minus Sign of Quaternions
138
SECTION PAOB
141
Application to Physical Vectors Futility of Popular Demon
147
Reciprocal of a Vector
155
on 1 1893 The Vector Product of Two Vectors Illus trations
156
Combinations of Three Vectors The Parallelepipedal Property
158
SemiCartesian Expansion of a Vector Product and Proof of the Fundamental Distributive Principle
159
Examples relating to Vector Products
162
Jan 291892 The Differentiation of Scalars and Vectors
163
SemiCartesian Differentiation Examples of Differentiating Functions of Vectors
165
Motion along a Curve in Space Tangency and Curvature Velocity and Acceleration
167
Tortuosity of a Curve and Various Forms of Expansion
169
Feb 121892 Hamiltons Finite Differentials Inconvenient and Unnecessary
172
Determination of Possibility of Existence of Differential Co efficients
174
Variation of the Size and Ort of a Vector
176
March 4 1892 Preliminary on V Axial Differentiation Differentiation referred to Moving Matter
178
Motion of a Rigid Body Resolution of a Spin into other Spins
180
Motion of Systems of Displacement c
183
Motion of a StrainFigure
185
March 25 1892 SpaceVariation or Slope VP of a Scalar Function
186
Scalar Product VD The Theorem of Divergence
188
The Operation inverse to Divergence
212
The Operation inverse to Slope
213
The Operation inverse to Curl
214
Remarks on the Inverse Operations
215
Integration by parts Energy Equivalences in the Circuital Series
216
The Isotropic Elastic Solid Relation of Displacement to Force
219
Electromagnetic and Elastic Solid Comparisons First
232
Magnetic Force compared with
245
Geometrical Illustrations The Sphere and Ellipsoid Inverse
259
Theory of the Relative Motion of Electrification and
269
Theory of the Relative Motion of Magnetisation and
277
The General Linear Operator
283
Nov 18 1892 Hamiltons Cubic and the Invariants con
289
Vector Product of a Vector and a Dyadic The Differentiation
295
General Notions about Electromagnetic Waves Generation
310
Selfcontained Forced Electromagnetic Vibrations Contrast
316
Effect of a NonConducting Obstacle on Waves Also of
323
KCTION 1A0E
330
March 4 1S93 The Effect of Conducting Matter
344
The Persistence of Induction in Plane Strata and in general
357
Application to Waves along Straight Wires
374
The Second Circuital Equation when Penetration is Not
390
25 1893 The Spreading of Charge and Current in
403
SECTION PACK
409
The Beneficial Effect of Leakage in Submarine Cables
417
Explanation of Anomalous Effects Artificial Leaks
424
Selfinduction combined with Leaks The Bridge System
433
Various ways good and bad of increasing the Inductance
441
Inductive Leaks applied to Submarine Cables
447
Application of above Theory to Inductive Leakance
453
Aiuj 41893
463

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