# An Introduction to the Mathematical Theory of Electricity and Magnetism

Clarendon Press, 1891 - Electricity - 228 pages

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### Contents

 PART 1 CHAPTER iV 20 Capacities _ 42 CHAPTER Vi 51 CHAPTER Vii 63 CHAPTER ii 66 Magnetic induction 78 CHAPTER iii 89
 Mechanical and Electrical Units 115 CHAPTER V 137 CHAPTER Vii 155 CHAPTER Viii 176 Earths Magnetism 177 CHAPTER iX 187 CHAPTER Xi 205 CHAPTER Xii 211

### Popular passages

Page 51 - An electric image is an electrified point, or system of points, on one side of a surface, which would produce on the other side of that surface the same electrical action which the actual electrification of that surface reallii does produce.
Page 4 - ... proportional to the product of their charges and inversely proportional to the square of the distance between them; and this law is valid whether the charges are equal or unequal.
Page 117 - A current of unit intensity is such that when one centimetre length of its circuit is bent into an arc of one centimetre radius, it exerts a force of one dyne on a unit magnetic pole placed at its center.
Page v - This book has been written with the object of supplying an Introduction to the Mathematical Treatment of Electricity and Magnetism. ... It is complete in itself, and may be read without previous knowledge of the subject. Purely experimental parts of the subject, requiring no special mathematical treatment, have been entirely omitted.
Page 70 - Magnetic Potential. The potential at any point of a magnetic field is the work which would be done by the magnetic forces of the field upon a positive unit of magnetism as it moves from that point to an infinite distance.
Page 159 - JJenz's law, which is as follows : When a conductor is moving in a magnetic field, a current is induced in the conductor in such a direction as to oppose, by its mechanical action, the motion to which the induced current is due. Another way of stating...
Page 115 - The cGs unit of force is the dyne, it is the force which acting on a mass of one gramme for one second generates in it a velocity of one centimetre per second.
Page 92 - Weber, that the magnetic action of a small plane circuit at distances which are great compared with the dimensions of the circuit is the same as that of a magnet whose axis is normal to the plane of the circuit, and whose magnetic moment is equal to the area of the circuit multiplied by the strength of the current.
Page 75 - ... experiment we can find both M and H. The value of H at Cambridge is about -18 CGS units. 134. Magnetic Shell of Uniform Strength. A magnetic shell is a thin sheet of magnetizable substance magnetized at each point in the direction of the normal to the sheet at that point. The strength of the shell at any point is the product of the intensity of magnetization into the thickness of the shell measured along the normal at that point, it is thus equal to the magnetic moment of unit area of the shell...
Page 42 - Hence the specific inductive capacity of a substance is the ratio of the capacity of a condenser when its plates are separated by this substance to the capacity of the same condenser when its plates are separated by air.