Page:A Treatise on Electricity and Magnetism - Volume 1.djvu/23

CONTENTS

xvii

Art.	Page
52. Specific Inductive capacity of a dielectric	50
53. 'Absorption' of electricity	50
54. Impossibility of an absolute charge	51
55. Disruptive discharge.—Glow	52
56. Brush	54
57. Spark	55
58. Electrical phenomena of Tourmaline	56
59. Plan of the treatise, and sketch of its results	57
60. Electric polarization and displacement	59
61. The motion of electricity analogous to that of an incompressible fluid	62
62. Peculiarities of the theory of this treatise	62

Chapter II.

Elementary Mathematical Theory of Electricity.

63. Definition of electricity as a mathematical quantity	66
64. Volume-density, surface-density, and line-density	67
65. Definition of the electrostatic unit of electricity	68
66. Law of force between electrified bodies	69
67. Resultant force between two bodies	69
68. Resultant force at a point	69
69. Line-integral of electric force; electromotive force	71
70. Electric potential	72
71. Resultant force in terms of the potential	72
72. The potential of all points of a conductor is the same	73
73. Potential due to an electrified system	74
74. Proof of the law of the inverse square	74
75. Surface-integral of electric induction	77
76. Introduction through a closed surface due to a single centre of force	77
77. Poisson's extension of Laplace's equation	79
78. Conditions to be fulfilled at an electrified surface	80
79. Resultant force on an electrified surface	82
80. The electrification of a conductor is entirely on the surface	83
81. A distribution of electricity on lines or points is physically impossible	84
82. Lines of electric induction	84
83. Specific inductive capacity	86