## An Introduction to the Mathematical Theory of Electricity and Magnetism |

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acts ampere armature battery body C. G. S. units called carrying a current cell centimetre centre charge coil component condenser constant copper current flowing current passing Daniell cell decomposition deflexion denote density distribution ductor dyne earth's electric current electrical intensity electrical resistance electrodes electrolytic electrolytic cell electrostatic element energy equal equation equipotential surfaces equivalent galvanometer given circuit given conductor heat indefinitely small infinite distance inside inversion Joule's Law joules Let us consider lines of force magnetic action magnetic axis magnetic field magnetic induction magnetic intensity magnetic meridian measured metals needle negative obtained plane positive direction produced proportional quantity of electricity quantity of induction quantity of magnetic radius right angles self-induction solenoid sphere strength surface of separation surface-density temperature tion tricity unit current unit of current unit of resistance variations of potential wire zero

### 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.