A treatise on electricity and magnetism Volume 1
Eleuthere Elie Nicolas Mascart
Paperback
(RareBooksClub.com, May 8, 2012)
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1883 Excerpt: ...is expressed by dW = mV = mtn = $inn. But the product mto is the flow of force which starts from the point in the angle o, and which therefore traverses the shell entering by the positive surface. The flow dQ which enters by the negative surface has the same value with the contrary sign-mo. We have thus AV=-3dQ. But the energy of a magnetic system in the field of the shell is the sum of the energies of different masses; it is therefore the product, taken with the opposite sign, of the magnetic strength of the shell by the sum of the flows of force which traverse it--that is to say, by the flow of force which starts from the system and enters the shell by the negative face. 341. If this system is a second shell S', the flow of force Q is proportional to the magnetic strength «£' of this second shell, and we rnay write Q = Mfc', the coefficient M being the flow of force which the former shell would receive, if the power of the second were equal to unity. The energy of the first shell, in the field of the second, is therefore The energy of the second shell in the field of the first has the same value, and is expressed in the same way, W=-t'£M', as a function of the flow of force which proceeding from the first would traverse the second; from it we infer (24) M = M'. Thus when two magnetic shells of equal strengths are in presence of each other, the flow of force which starts from one and traverses the other, entering by the negative face, is the same for both. It will be observed how analogous this property is with the theorem demonstrated above (63) relative to the electrostatic induction between two conductors. 342. Equation (22) shows that the energy of a shell in a magnetic field only depends on the flow of force which crosses the surface bo...