Page:A Treatise on Electricity and Magnetism - Volume 1.djvu/24

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Chapter III.

Systems of Conductors.

Art.

84. On the superposition of electrified systems

85. Energy of an electrified system

86. General theory of a system of conductors. Coefficients of potential

87. Coefficients of induction. Capacity of a conductor. Dimensions of these coefficients

88. Reciprocal property of the coefficients

89. A theorem due to Green

90. Relative magnitude of the coefficients of potential

91. And of induction

92. The resultant mechanical force on a conductor expressed in terms of the charges of the different conductors of the system and the variation of the coefficients of potential

93. The same in terms of the potentials, and the variation of the coefficients of induction

94. Comparison of electrified systems

Chapter IV.

General Theorems.

95. Two opposite methods of treating electrical questions

96. Characteristics of the potential function

97. Conditions under which the volume-integral

vanishes

98. Thomson's theorem of the unique minimum of

99. Application of the theorem to the determination of the distribution of electricity

100. Green's theorem and its physical interpretation

101. Green's functions

102. Method of finding limiting values of electrical coefficients