A Treatise on Electricity and Magnetism, Volume 2

Front Cover
Clarendon Press, 1881
 

Contents

Potential of a magnetized element of volume
9
Potential of a magnet of finite size Two expressions for this potential corresponding respectively to the theory of polari zation and to that of magnetic...
10
Particular cases
12
Potential energy of a magnet in any field of force
14
On the magnetic moment and axis of a magnet
15
Energy of light during its propagation
19
Lineintegral of magnetic force or magnetic potential
25
CHAPTER III
31
Statement of problems solved by Neumann Kirchhoff
34
The solid angle expressed by the length of a curve on the sphere
39
Magnetic induction in different substances
47
CHAPTER V
56
Corresponding case in two dimensions Fig XV
62
185
68
On ships magnetism
71
131
74
Experiments indicating a maximum of magnetization
79
CHAPTER VII
89
Observations of deflexion
97
Method of tangents and method of sines
109
Reaction on the circuit
137
Action of an infinite straight current on any current in
143
ON THE INDUCTION OF ELECTRIC CURRENTS
163
It has no tendency to move the conductor
169
Mathematical expression for the total current of induction
175
CHAPTER IV
181
System of observations in an observatory
191
Moments and products of inertia and mobility
192
Discussion of the electromotive force
205
Case of two circuits
209
Electrokinetic momentum at a point expressed as a vector A
215
Analysis of the electromotive force
223
CHAPTER IX
229
The electrostatic energy expressed in terms of the electromotive
249
Explanation of these forces by the hypothesis of stress in
255
CHAPTER XII
263

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Page 12 - Vol. II. The Sacred Laws of the Aryas, as taught in the Schools of Apastamba, Gautama, VâsishMa, and Baudhâyana. Translated by Prof. Georg Bühler. Part I. Apastamba and Gautama. 8vo. cloth, ios. 6d. Vol. III. The Sacred Books of China. The Texts of Confucianism.
Page 400 - ... sunlight would experience this pressure on its illuminated side only, and would therefore be repelled from the side on which the light falls. It is probable that a much greater energy of radiation might be obtained by means of the concentrated rays of the electric lamp. Such rays falling on a thin metallic disk, delicately suspended in a vacuum, might perhaps produce an observable mechanical effect.
Page 186 - The number of degrees of freedom of a system is the number of data which must be given in order completely to determine its position.
Page 1 - A New English Dictionary, on Historical Principles : founded mainly on the materials collected by the Philological Society. Edited by James AH Murray, LL.D., President of the Philological Society ; with the assistance of many Scholars and men of Science. Part I.
Page 181 - Returning to the phenomena in question, the first thought that arises in the mind is, that the electricity circulates with something like momentum or inertia in the wire, and that thus a long wire produces effects at the instant the current is stopped, which a short wire cannot produce. Such an explanation is, however, at once set aside by the fact, that the same length of wire produces the effects in very different degrees, according as it is simply extended...
Page 417 - The consideration of the action of magnetism on polarized light leads, as we have seen, to the conclusion that in a medium under the action of magnetic force something belonging to the same mathematical class as an angular velocity, whose axis is in the direction of the magnetic force, forms a part of the phenomenon. This angular velocity cannot be that of any portion of the medium of sensible dimensions rotating as a whole. We must therefore conceive the rotation to be that of very small portions...
Page 447 - In fact, whenever energy is transmitted from one body to another in time, there must be a medium or substance in which the energy exists after it leaves one body and before it reaches the other, for energy, as Torricelli * remarked, ' is a quintessence of so subtile a nature that it cannot be contained in any vessel except the inmost substance of material things.
Page 396 - In other media than air, the velocity V is inversely proportional to the square root of the product of the dielectric and the magnetic inductive capacities. According to the undulatory theory, the velocity of light in different media is inversely proportional to their indices of refraction. There are no transparent media for which the magnetic capacity differs from that of air more than by a very small fraction. Hence the principal part of the difference between these media -must depend on their...
Page 446 - ... of a condition of motion or stress in a medium already existing in space. In the theory of Neumann, the mathematical conception called Potential, which we are unable to conceive as a material substance, is supposed to be projected from one particle to another, in a manner which is quite independent of a medium, and which, as Neumann has himself pointed out, is extremely different from that of the propagation of light. In the theories of Riemann and Betti it would appear that the action is supposed...
Page 146 - ... accompanied with a change of position of the electric current which it carries. But if the current itself be free to choose any path through a fixed solid conductor or a network of wires, then, when a constant magnetic force is made to act on the system, the path of the current through the conductors is not permanently altered, but after certain transient phenomena, called induction currents, have subsided, the distribution of the current will be found to be the same as if no magnetic force were...

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