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English
CHAPTER III.
SYSTEMS OF CONDUCTORS.
| Article | Page | |
|---|---|---|
| 84. | On the superposition of electrified systems | 88 |
| 85. | Energy of an electrified system | 88 |
| 86. | General theory of a system of conductors. Coefficients of potential The "coefficient of potential" refers to the mathematical relationship between the charge on one conductor and the resulting electrical potential on another. | 89 |
| 87. | Coefficients of induction. Capacity of a conductor. Dimensions of these coefficients | 90 |
| 88. | Reciprocal property of the coefficients | 91 |
| 89. | A theorem attributed to Green George Green (1793–1841), a self-taught mathematician whose work laid the foundation for mathematical physics. | 92 |
| 90. | Relative magnitude of the coefficients of potential | 92 |
| 91. | And of induction | 93 |
| 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 | 94 |
| 93. | The same in terms of the potentials, and the variation of the coefficients of induction | 94 |
| 94. | Comparison of electrified systems | 96 |
CHAPTER IV.
GENERAL THEOREMS.
| 95. | Two opposite methods of treating electrical questions | 98 |
| 96. | Characteristics of the potential function | 99 |
| 97. | Conditions under which the volume-integral A mathematical operation used to calculate the total value of a property throughout a three-dimensional space. $\iiint (u \frac{dV}{dx} + v \frac{dV}{dy} + w \frac{dV}{dz}) dx dy dz$ vanishes | 100 |
| 98. | Thomson's theorem Named after William Thomson, Lord Kelvin. of the unique minimum of $\iiint \frac{1}{K} (a^2 + b^2 + c^2) dx dy dz$ | 103 |
| 99. | Application of the theorem to the determination of the distribution of electricity | 107 |
| 100. | Green's theorem and its physical interpretation | 108 |
| 101. | Green's functions | 113 |
| 102. | Method of finding limiting values of electrical coefficients | 115 |
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