An Introduction to the Theory of Electricity: With Numerous Examples (Google eBook)

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Macmillan and Company, 1885 - Electricity - 326 pages
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Contents

Principle of Virtual Velocities
12
Definition of Moment of a Force
14
2325 Kinetic and Potential Energy
15
Application to pendulum
16
Illustrations of Potential Energy
18
Conservation of Energy
19
CHAPTER II
24
Strength of a Field at a point
25
Force expressed as rate of change of Potential
27
Equipotential Surface
28
Calculation of the attraction of a thin circular plate
29
Note on the Method of proof
32
Attraction of a spherical shell on an internal particle
33
Work done against an attracting system
34
Illustration of a single attracting particle
37
Tubes of Force
39
Stokes Theorem
40
Extension to a tube of force
41
Proposition on a Tube of Force cutting through attracting matter
42
Determination of Field by one equipotential surface
43
Potential never discontinuous in free space
44
Potential at great distance from the attracting system
45
CHAPTER III
49
Electrical Quantity and Density
53
Definitions of a Field of Electrical Force
54
Potential constant throughout an Electrified Conductor
56
Strength of Field just outside an Electrified Conductor
57
AST PAGE 64 Electrical Screen
59
Potential of the Earth taken as zero
60
Positive and negative potential distinguished from positive and negative Electricity
61
Superposition of Electrification
62
Property of a Tube of Force passing from a positively to
63
Equivalence of a freely electrified surface to any electrical system
64
negatively electrified surface
65
Electrical Images
66
Law of density of a free Electrification
67
Faradays Theory of Inductive Action
68
Specific Inductive Capacity
71
Electrification of a system of two conductors
74
8284 Properties of coefficients of potential and induction
75
Electrification of a condenser
77
CHAPTER IV
79
8688 Potential and capacity of a sphere
86
Calculation of area of a sphere
89
Potential of a sphere on an external point
90
Gauss Theorem
91
Potential of an unelectrified sphere subject to external induction
92
Electrification of a system consisting of two concentric conducting spheres
93
Electrification of a condenser consisting of two parallel plates
94
Attraction between the plates of a condenser Attracted Disc electrometer
95
The Quadrant electrometer
96
Two planes at right angles
106
Three planes mutually at right angles
107
118121 A sphere under the influence of an electrified particle
109
Potential of spherical shell whose density varies as inverse cube of distance from a fixed point
113
Induction on two concentric spheres with an electrified point between them
116
Geometrical Inversion
118
Definition of electrical Images by inversion
121
Electrified sphere under an electrified particle
123
Electrification of a conductor formed of two spheres inter secting at right angles
124
Electrification of a conductor formed of three spheres inter secting at right angles
125
Electrification of two spheres in contact
127
Applications of inversion to various problems
128
82
142
90
143
Theory of the Voltaic Cell
148
CHAPTER VI
165
CHAPTER VII
189
CHAPTER VIII
218
Experiment on a broken magnet Intensity of Magnetiza
222
Physical explanation of diamagnetism
228
CHAPTER IX
260
Dimensions of Electrostatic and Magnetic Units
261
Dimensions of Electromagnetic Units
264
Tabular view of results
265
25456 Relations between the various measures and units in the
266
Relation of Practical to Absolute Electromagnetic Units
267
CHAPTER X
270
Forces on a magnet in a uniform field
274
Elongation of a vibrating Magnet
276
ABT TAOK 277 Galvanometer Constant for a Galvanometer of a few turns
277
Field of a uniformly magnetized sphere
279
Magnetic induction in a sphere
281
Property of a field of force
282
Magnetic shell and equivalent circuit
285
Electromagnetic field of a straight wire carrying a current
286
Electromagnetic field of a Solenoid Approximate con stancy of the Magnetic field within a Solenoid Method for absolute measure of currentstrength ...
290
Coefficient of Mutual induction for two coaxial Solenoids Coefficient of Selfinduction for a Solenoid
294
Galvanometer Constant
296
Throw of a galvanometer needle owing to the passage of an instantaneous electric discharge
299
2S0 Explanation of Deadbeat Galvanometer
301
Thomsons Current Accumulator
302
2835 Methods of determining the velocity which connects the measures and units in the Electrostatic with those in the Electromagnetic system Conne...
307
CHAPTER XI
313
Cummings experiment and Thomsons reasoning on it
315
Experiments of Thomson and Magnus
316
Measure of Peltier effect
317
Peltier effect in terms of the temperature
318
The E M F and Thermoelectric power of a couple
319
Property of Thermoelectric powers of three metals
320
Properties of the Thermoelectric diagram
321
Unverified assumption in diagram
324

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